Electric Fields and Forces Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is true about uniform electric fields?

  • Field lines are parallel and equally spaced. (correct)
  • Uniform fields result in nonuniform force distributions.
  • Field strength is higher where lines are further apart.
  • Field lines are closer together in uniform fields.

How do electric field lines behave in relation to positive and negative charges?

  • They do not interact with charges of the opposite sign.
  • They are always directed outward from charges, regardless of type.
  • They emanate from positive charges and penetrate into negative charges. (correct)
  • They emanate from negative charges and penetrate into positive charges.

What formula is used to calculate electric field strength?

  • E = F / q (correct)
  • E = q / F
  • E = W / m
  • E = m / g

In a nonuniform electric field, what does it indicate if the field lines are closer together?

<p>The field strength is stronger. (D)</p> Signup and view all the answers

Which statement about gravitational and electric fields is incorrect?

<p>Field strength for electric fields is measured in N/kg. (A)</p> Signup and view all the answers

If a +10 C charge experiences a 50 N force in an electric field, what is the strength of the field at that location?

<p>5 N/C (D)</p> Signup and view all the answers

What is the primary intrinsic property of charge?

<p>Electric charge. (B)</p> Signup and view all the answers

Which of the following correctly identifies the relationship between electric field strength and force?

<p>Field strength is the force per unit charge. (B)</p> Signup and view all the answers

What is the direction of the electric force F acting on a negatively charged particle in a uniform electric field E?

<p>In the opposite direction to E (D)</p> Signup and view all the answers

If the electric field E is uniform, what happens to the electric force F experienced by a charged particle?

<p>It remains constant (A)</p> Signup and view all the answers

For a positively charged particle, the acceleration a and electric force F are in which direction relative to the electric field E?

<p>In the same direction as E (C)</p> Signup and view all the answers

What is the work done by the electric field on a charge moving a distance d in a field E?

<p>$- q E d$ (A)</p> Signup and view all the answers

What does the capacitance of a capacitor refer to?

<p>The charge storing capacity (A)</p> Signup and view all the answers

What happens to the electric potential energy of a charged capacitor when a charge moves within the electric field inside it?

<p>It decreases as work is done by the field (C)</p> Signup and view all the answers

What is the relationship between the work done by an external force FA and the work done by the electric field on a charged particle?

<p>Work done by FA is greater than work done by the field (D)</p> Signup and view all the answers

Which of the following devices commonly uses capacitors?

<p>Photoflash units in cameras (C)</p> Signup and view all the answers

What is the capacitance of a capacitor that stores a charge of 1.62 nC when connected to a 20 V battery?

<p>81 pF (D)</p> Signup and view all the answers

How is the capacitance C of a parallel plate capacitor related to the plate area A and the distance d between the plates?

<p>C is directly proportional to A and inversely proportional to d (C)</p> Signup and view all the answers

What does the symbol F represent in relation to capacitance?

<p>Farad (D)</p> Signup and view all the answers

If capacitor #2 has twice the capacitance of capacitor #1, what can be said about the charge stored on both capacitors when charged by the same battery?

<p>Capacitor #2 will store twice as much charge as #1 (B)</p> Signup and view all the answers

In the equation $V = E d$, what does V represent?

<p>Voltage across the plates (A)</p> Signup and view all the answers

What unit is typically used for measuring very small capacitances, such as those in the range of picofarads?

<p>pF (B)</p> Signup and view all the answers

What does a capacitor with a capacitance of 3 F indicate regarding its ability to store charge?

<p>It can store 30 C of charge at 10 V (C)</p> Signup and view all the answers

What is the relationship between voltage and electric field strength in a uniform electric field?

<p>Voltage is equal to electric field strength times the distance (A)</p> Signup and view all the answers

What does the term $dE$ represent in the context of an electric field calculation?

<p>An infinitesimal change in the electric field (C)</p> Signup and view all the answers

In the equation $dE = \frac{1}{4\pi\epsilon_0} \frac{dq}{r^2}$, what does $r$ represent?

<p>The distance from the charge to the point of interest (D)</p> Signup and view all the answers

When integrating to find the total electric field from a charged distribution, which component is essential?

<p>The contributions of individual infinitesimal charges (A)</p> Signup and view all the answers

What is the role of $ rac{dq}{dx}$ in the equation $dq = \lambda dx$?

<p>It expresses the infinitesimal charge based on line charge density (B)</p> Signup and view all the answers

What can be inferred about the electric field if the distance $a$ becomes much greater than the length $l$ of the charged rod?

<p>The electric field behaves as if it is produced by a point charge (B)</p> Signup and view all the answers

If the electric field $E$ is uniform, what is true regarding the forces acting on a charged particle?

<p>The electric force remains constant in both magnitude and direction (D)</p> Signup and view all the answers

What is the relationship between acceleration $a$, electric force $F$, and charge $q$ in a uniform electric field?

<p>Acceleration is directly proportional to electric force and inversely proportional to mass (D)</p> Signup and view all the answers

How is the electric field $E$ expressed when integrating over the total distance related to a charged rod?

<p>$E = \frac{Q}{4\pi\epsilon_0 a(l+a)}$ (D)</p> Signup and view all the answers

What is the correct formula to calculate electric current?

<p>$I = \frac{\Delta Q}{\Delta t}$ (A)</p> Signup and view all the answers

Which statement accurately describes Ohm's Law?

<p>$V = IR$ (A)</p> Signup and view all the answers

What is the unit of electric current in the International System of Units (SI)?

<p>Ampere (A) (A)</p> Signup and view all the answers

What happens to the resistivity of most metals as temperature increases?

<p>It increases linearly. (A)</p> Signup and view all the answers

Which factor does not affect the resistance of a material?

<p>Volume of the conductor (B)</p> Signup and view all the answers

What is the formula for resistance in terms of resistivity ($\rho$)?

<p>$R = \frac{\rho L}{A}$ (A)</p> Signup and view all the answers

Superconductors are characterized by which of the following properties?

<p>Resistivity drops to zero at very cold temperatures. (D)</p> Signup and view all the answers

How is resistance defined mathematically?

<p>$R = \frac{V}{I}$ (D)</p> Signup and view all the answers

What is the formula to calculate the equivalent capacitance for capacitors in series?

<p>$\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3}$ (C)</p> Signup and view all the answers

In a parallel combination of capacitors, what happens to the total charge?

<p>The total charge is the sum of individual charges. (B)</p> Signup and view all the answers

If two capacitors, C1 and C2, are connected in parallel, what is the relationship between the applied voltage and the charges?

<p>Each capacitor experiences the same voltage. (A)</p> Signup and view all the answers

What is the voltage across each capacitor in a series connection?

<p>It adds up to the total voltage applied. (D)</p> Signup and view all the answers

If a 15 V battery is connected to three capacitors in series, what remains constant across all capacitors?

<p>The individual charges on each capacitor. (B)</p> Signup and view all the answers

When the switch in an RC circuit is closed, what is the initial behavior of the capacitor?

<p>It behaves like an open circuit and no charge flows. (A)</p> Signup and view all the answers

In a series circuit of capacitors, which equation correctly represents the charge on a capacitor?

<p>$Q = C_{eq} V$ (C)</p> Signup and view all the answers

How is the equivalent capacitance calculated for two capacitors connected in parallel?

<p>$C_{eq} = C_1 + C_2$ (D)</p> Signup and view all the answers

Flashcards

Uniform Electric Field

A field where the field lines are parallel and evenly spaced. This indicates a consistent field strength across the area.

Nonuniform Electric Field

A field where the field lines are not parallel and the spacing between them varies. This means the field strength is not constant throughout.

Charge

An intrinsic property of objects that produces electric fields and interacts with other charges.

Electric Field

A region of space where a charged object experiences an electric force.

Signup and view all the flashcards

Electric Field Strength

The strength of an electric field at a point, measured in Newtons per Coulomb (N/C).

Signup and view all the flashcards

Test Charge

A small, positive test charge used to determine the electric field strength at a point by measuring the force experienced by the test charge.

Signup and view all the flashcards

Field Strength

The force per unit mass or force per unit charge, depending on the type of field, and usually represented as a vector.

Signup and view all the flashcards

Field Charge

A charge that creates an electric field and affects other charges within its field.

Signup and view all the flashcards

Force on a Charged Particle

The force exerted on a charged particle in an electric field is directly proportional to the strength of the field and the magnitude of the charge.

Signup and view all the flashcards

Direction of Force and Acceleration

If the particle has a positive charge, the force and acceleration are in the same direction as the electric field. However, if the particle has a negative charge, the force and acceleration are opposite to the direction of the electric field.

Signup and view all the flashcards

What is a Capacitor?

A capacitor is a device that stores electrical energy by accumulating charges on its plates.

Signup and view all the flashcards

What is Capacitance?

The capacitance of a capacitor is a measure of its ability to store electrical charge. It is defined as the ratio of the charge stored to the voltage across the capacitor.

Signup and view all the flashcards

Capacitor Energy Storage

A charged capacitor stores electrical potential energy, which is the energy that is stored due to the separation of charges.

Signup and view all the flashcards

Capacitor Applications

Capacitors are widely used in various electrical circuits and devices.

Signup and view all the flashcards

Electric field due to a continuous charge distribution

The electric field at a point due to a continuous charge distribution is the vector sum of the electric fields due to each infinitesimal charge element in the distribution.

Signup and view all the flashcards

What is line charge density?

A line charge density represents the charge per unit length of a line of charge. It is often denoted by λ (lambda) and measured in Coulombs per meter (C/m).

Signup and view all the flashcards

How do we calculate the electric field due to a charged rod?

The electric field due to a charged rod can be calculated by integrating the contributions from each small segment of the rod. The result is the total electric field at a point.

Signup and view all the flashcards

What is the electric field strength like for a charged rod at various distances?

The electric field due to a charged rod decreases as the distance from the rod increases. The field strength is also dependent on the charge distribution along the rod.

Signup and view all the flashcards

What is a uniform electric field?

A uniform electric field is a region where the electric field strength is constant in both magnitude and direction. This means the field lines are parallel and evenly spaced.

Signup and view all the flashcards

What is the force on a charged particle in a uniform electric field?

The force on a charged particle in a uniform electric field is given by F = qE, where q is the charge and E is the electric field strength. This force causes the particle to accelerate.

Signup and view all the flashcards

What is the acceleration of a charged particle in a uniform electric field?

The acceleration of a charged particle in a uniform electric field is given by a = qE/m, where q is the charge, E is the electric field strength, and m is the mass of the particle.

Signup and view all the flashcards

What is the motion of a charged particle in a uniform electric field?

If the electric field is uniform, the acceleration of a charged particle is constant, and the particle will move in a straight line. The direction of the acceleration will depend on the sign of the charge.

Signup and view all the flashcards

Capacitance

A measure of a capacitor's ability to store electric charge. It is defined as the ratio of the charge stored on the capacitor to the voltage applied across it.

Signup and view all the flashcards

Farad (F)

The SI unit of capacitance, named after Michael Faraday. It represents a relatively large amount of capacitance.

Signup and view all the flashcards

Relationship between charge, voltage and capacitance

The charge stored on a capacitor is directly proportional to the voltage applied across it, with capacitance serving as the proportionality constant.

Signup and view all the flashcards

Plate separation (d)

The space between the plates of a parallel-plate capacitor. It affects capacitance, with a larger distance resulting in a lower capacitance.

Signup and view all the flashcards

Permittivity (ε)

A material's ability to store electrical energy. Air's permittivity is signified by ε. It influences the capacitance of a parallel-plate capacitor.

Signup and view all the flashcards

Plate Area (A)

The surface area of each plate in a parallel-plate capacitor. It directly affects capacitance, with a larger area leading to a greater capacitance.

Signup and view all the flashcards

Capacitance formula for a parallel-plate capacitor

The formula that relates capacitance, permittivity, plate area, and plate separation for a parallel-plate capacitor.

Signup and view all the flashcards

Voltage drop across a capacitor

The potential difference between two points in an electric field. For a uniform field, it equals the electric field strength multiplied by the distance between those points.

Signup and view all the flashcards

Capacitors in Series

A combination of capacitors where each capacitor has the same amount of charge across their plates, but the voltage across each capacitor may be different. The total capacitance is always less than the smallest individual capacitance.

Signup and view all the flashcards

Capacitors in Parallel

A combination of capacitors where the voltage across each capacitor is the same, but the charge on each capacitor may be different. The total capacitance is the sum of individual capacitances.

Signup and view all the flashcards

Equivalent Capacitance (Ceq)

The overall capacitance of a series or parallel combination of capacitors.

Signup and view all the flashcards

Formula for Ceq in Series

The reciprocal of the equivalent capacitance of capacitors connected in series is equal to the sum of the reciprocals of the individual capacitances.

Signup and view all the flashcards

Formula for Ceq in Parallel

The equivalent capacitance of capacitors connected in parallel is equal to the sum of the individual capacitances.

Signup and view all the flashcards

RC Circuit

A circuit that involves a resistor (R) and a capacitor (C) connected to a voltage source.

Signup and view all the flashcards

Charging Capacitor

When a capacitor is charging in an RC circuit, the voltage across the capacitor increases exponentially over time until it reaches the voltage of the source.

Signup and view all the flashcards

Discharging Capacitor

When a capacitor is discharging in an RC circuit, the voltage across the capacitor decreases exponentially over time until it reaches zero.

Signup and view all the flashcards

Electric Current

The net movement of electric charge, measured in Amperes (A), where 1 A equals 1 Coulomb per second (C/s).

Signup and view all the flashcards

Conventional Current Direction

The direction of flow of positive charges, although in reality, electrons, which are negatively charged, move in the opposite direction.

Signup and view all the flashcards

Resistance

The opposition to the flow of electric current in a material, measured in Ohms (W), where 1 W equals 1 Volt per Ampere (V/A).

Signup and view all the flashcards

Ohm's Law

A fundamental law stating that the voltage (V) across a conductor is directly proportional to the current (I) flowing through it, with the constant of proportionality being the resistance (R).

Signup and view all the flashcards

Ohmic Material

A material that follows Ohm's Law, meaning its resistance remains constant regardless of the applied voltage.

Signup and view all the flashcards

Resistivity (ρ)

The intrinsic property of a material that determines its resistance to electric current flow. It depends on the material's composition and temperature.

Signup and view all the flashcards

Temperature Dependence of Resistivity

The temperature dependence of resistivity, where the resistivity of most metals increases linearly with temperature.

Signup and view all the flashcards

Superconductivity

A state where the resistance of a material abruptly drops to zero at very low temperatures, allowing for current to flow without any opposition.

Signup and view all the flashcards

Study Notes

Course Content

  • The course covers seven chapters:
    • Chapter 1: Physical Quantity, Units and Dimensions (1 week)
    • Chapter 2: Motion in one Dimension (2 weeks)
    • Chapter 3: Vector Analysis (2 weeks)
    • Chapter 4: Fluid Mechanics (2 weeks)
    • Chapter 5: Waves, Oscillations, and Sound (2 weeks)
    • Chapter 6: Heat and Thermodynamics (2 weeks)
    • Chapter 7: Electricity & Magnetism (2 weeks)

Properties of Electric Charges

  • Simple experiments demonstrate electric forces and charges
  • A comb rubbed through dry hair attracts bits of paper
  • The attractive force is strong enough to suspend the paper
  • Similar effects occur when glass or rubber is rubbed with silk or fur
  • Materials exhibiting this behavior are electrified or electrically charged

Two Kinds of Electric Charges

  • Experiments reveal two types of electric charges: positive and negative
  • Benjamin Franklin (1706-1790) coined these names
  • A hard rubber rod rubbed with fur and suspended by a nonmetallic thread attracts a glass rod rubbed with silk

Coulomb's Law

  • Charles Coulomb (1736-1806) measured electric forces using a torsion balance

  • The electric force between stationary charged particles is:

    • Inversely proportional to the square of the separation (r²) between the particles
    • Directly proportional to the product of the charges (q₁q₂).
    • Attractive if charges have opposite signs, repulsive if same sign
  • Force (F) = k * q₁ * q₂ / r²

    • k = 9 x 10⁹ N⋅m²/C² (constant)
    • q₁ and q₂ are charges in Coulombs (C)
    • r is the distance between the charges in meters (m)

Charge and Matter

  • Proton: Symbol (P), Charge (+1.6 x 10⁻¹⁹ C), Mass (1.67 x 10⁻²⁷ kg).
  • Neutron: Symbol (N), Charge (0), Mass (1.67 x 10⁻²⁷ kg).
  • Electron: Symbol (e), Charge (-1.6 x 10⁻¹⁹ C), Mass (9.11 x 10⁻³¹ kg).

Example: The Hydrogen Atom

  • The electron and proton (on average) are separated by a distance of approximately 5.3 x 10⁻¹¹ m
  • Magnitude of electric force = 8.2 x 10⁻⁸ N
  • Magnitude of gravitational force = 3.6 x 10⁻⁴⁷ N

Electric Fields: Review

  • Review of gravitational fields
  • Electric field vector
  • Electric fields for various charge configurations
  • Field strengths for point charges and uniform fields
  • Work done by fields & change in potential energy
  • Potential & equipotential surfaces
  • Capacitors, capacitance, & voltage drops across capacitors
  • Millikan oil drop experiment
  • Excess Charge Distribution on a Conductor

Gravitational Fields

  • A region surrounding any massive object or collection of objects exerts gravitational force on any objects within its region (field)
  • Defined as the force per unit mass on a test mass (placed in the field)
  • Field strength is measured in Newtons per kilogram (N/kg)
  • A uniform field has equally spaced and parallel field lines.
  • Non-uniform fields are stronger where field lines are closer together.

Electric Fields (Intro)

  • A region surrounding a charged object or collection of charged objects exerts electric forces on any charges within its region (field)
  • Defined as the force per unit charge on a test charge (placed in the field)
  • Field strength is measured in Newtons per Coulomb (N/C)
  • A uniform field has equally spaced and parallel field lines
  • Nonuniform fields are stronger where lines are closer together

Electric Flux

  • defined as the total number of electric field lines passing through a surface.

Gauss's Law

  • The total electric flux through any closed surface is directly proportional to the net electric charge enclosed within the surface.

  • Φ_s = Q/ε₀

Properties of Conductors

  • Electric field inside a conductor in electrostatic equilibrium is zero.
  • Any net charge resides on the surface of a conductor.
  • Electrical field immediately outside a conductor in electrostatic equilibrium is perpendicular to the surface
  • Surface charge density is greatest where the radius of curvature is smallest.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Electric Fields Quiz
5 questions

Electric Fields Quiz

QualifiedTsilaisite avatar
QualifiedTsilaisite
Electric Fields and Forces Quiz
11 questions
Electric Fields and Potentials Overview
12 questions
Use Quizgecko on...
Browser
Browser