Physics Electric Charge Concepts

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Questions and Answers

What is the SI unit of electric charge?

  • Coulomb (correct)
  • Volt
  • Newton
  • Ampere

Which statement about electric charges is incorrect?

  • Charge can be created and destroyed. (correct)
  • Charge is additive across different objects.
  • Charges are quantized in integral multiples of elementary charge.
  • Charges are conserved in an isolated system.

According to Coulomb's Law, the force between two charges decreases as which of the following increases?

  • The net charge of the system
  • The product of the two charges
  • Distance between the charges (correct)
  • Magnitude of one of the charges

What does the electric field represent?

<p>The force experienced by a positive charge (B)</p> Signup and view all the answers

Which of the following statements about electric field lines is true?

<p>Field lines start from positive charges and end at negative charges. (A)</p> Signup and view all the answers

What is the formula for the electric field due to a point charge?

<p>E = Kq/r^2 (D)</p> Signup and view all the answers

What is the proportionality constant 'K' in Coulomb's Law?

<p>9 x 10^9 Nm^2/C^2 (D)</p> Signup and view all the answers

If a system has a net charge of zero, which statement is true?

<p>There are equal positive and negative charges. (A)</p> Signup and view all the answers

What is the SI unit of electric flux?

<p>Nm<sup>2</sup>/C (A)</p> Signup and view all the answers

What is the primary purpose of electric field lines?

<p>To map the direction of the electric field between charges (D)</p> Signup and view all the answers

According to Gauss's Law, the total flux through a closed surface is proportional to what?

<p>Net charge enclosed by the surface (C)</p> Signup and view all the answers

What does Gauss's Law relate to in electrostatics?

<p>The relationship between electric flux and the net charge within a surface (B)</p> Signup and view all the answers

Which statement accurately describes a semiconductor?

<p>Offer variable conductivity that can be adjusted (C)</p> Signup and view all the answers

Which statement correctly describes the electric field due to an infinite charged sheet?

<p>The electric field is uniform and does not change with distance. (C)</p> Signup and view all the answers

What is the electric field inside a hollow spherical shell?

<p>0 (B)</p> Signup and view all the answers

What happens during the process of earthing?

<p>Excess charge is allowed to flow to the ground (B)</p> Signup and view all the answers

How does the force between two charged bodies change with distance?

<p>It varies quadratically with the distance between charges (A)</p> Signup and view all the answers

What is the formula for the electric field due to an infinite straight wire?

<p>E = λ / 2πε<sub>o</sub>r (B)</p> Signup and view all the answers

How is the electric field due to a point charge expressed?

<p>E = q / 4πε<sub>o</sub>r<sup>2</sup> (D)</p> Signup and view all the answers

What charge corresponds to 1 Coulomb in terms of the number of electrons?

<p>6.25 x 10<sup>18</sup> (B)</p> Signup and view all the answers

Which of the following describes the relationship of electric field due to a spherical shell outside the shell?

<p>E α 1/r<sup>2</sup> (B)</p> Signup and view all the answers

What is the definition of the electric dipole moment?

<p>The distance between two charges multiplied by the charge of one of the charges. (D)</p> Signup and view all the answers

In an electric dipole, how is the direction of the dipole moment defined?

<p>From positive to negative charge. (A)</p> Signup and view all the answers

What is the expression for the net electric field at an axial point due to a dipole?

<p>$E_{net} = Kq(4a)/(r^3)$ (D)</p> Signup and view all the answers

What is the behavior of the electric field lines in a uniform electric field?

<p>They are straight, parallel, and uniformly spaced. (B)</p> Signup and view all the answers

At which angle is the torque on a dipole in a uniform electric field maximized?

<p>90° (B)</p> Signup and view all the answers

What is the relationship between the electric field at the axial and equatorial points of a dipole?

<p>E_{axial} = 2E_{eq} (C)</p> Signup and view all the answers

What is the torque on a dipole when the angle between the dipole moment and the electric field is 0°?

<p>Zero torque. (D)</p> Signup and view all the answers

Under what condition can the strength of the electric field at an equatorial point of a dipole be approximated as $E_{eq} = -kp/r^3$?

<p>When r is much greater than a. (C)</p> Signup and view all the answers

How many electrons are transferred when a charge of 3 x 10-7 C is obtained?

<p>1.875 x 10<sup>12</sup> (D)</p> Signup and view all the answers

What is the mass of electrons transferred when 1.875 x 1012 electrons are involved?

<p>17 x 10<sup>-19</sup> kg (A)</p> Signup and view all the answers

Given a charge of 8 x 10-18 C, how many electrons would this represent?

<p>50 (C)</p> Signup and view all the answers

What force exists between two charges of 2 x 10-7 C and 3 x 10-7 C placed 30 cm apart?

<p>6.00 x 10<sup>-3</sup> N (D)</p> Signup and view all the answers

If the separation between two charges is doubled, how does the force change?

<p>Decreases by a factor of 4 (D)</p> Signup and view all the answers

What distance is computed when a force of 0.2 N is acting between two charges of 0.4 µC and -0.8 µC?

<p>12 cm (B)</p> Signup and view all the answers

What is the equivalent force on the second sphere due to the first if the force on the first sphere is 0.2 N?

<p>0.2 N (A)</p> Signup and view all the answers

What is the value of k used in the force equation for two point charges in air?

<p>9 x 10<sup>9</sup> (D)</p> Signup and view all the answers

What happens to the force between two charges if the distance is increased by a factor of 3?

<p>It becomes 1/9 of the original force (B)</p> Signup and view all the answers

Which of the following statements about dielectric constant (K) is correct?

<p>K is greater than 1 for most materials other than air (A)</p> Signup and view all the answers

What is the primary characteristic of conductors?

<p>They contain large numbers of free electrons (A)</p> Signup and view all the answers

Which charging method involves direct contact between materials?

<p>Charging by Contact (D)</p> Signup and view all the answers

How does earthing affect a charged body?

<p>It allows the body to share excess charge with the earth (A)</p> Signup and view all the answers

What type of body has an equal number of positive and negative charges?

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

What defines an insulator in terms of its electron behavior?

<p>Electrons are tightly bound to their atoms (B)</p> Signup and view all the answers

Which of the following statements is true regarding Coulomb's Law?

<p>The force can be both attractive and repulsive depending on the charge signs (B)</p> Signup and view all the answers

Flashcards

What is electric charge?

It's a fundamental property of matter that causes it to experience electrostatic forces. It can be positive or negative.

How is electric charge additive?

The total charge of a system is the sum of all individual charges present. This means we can add up the charges to find the total charge.

How is electric charge quantized?

Electric charge always comes in discrete units, which are multiples of the elementary charge 'e' (1.6 x 10^-19 Coulombs). This means charge cannot exist in fractions of 'e'.

What is the law of conservation of charge?

In an isolated system, the total amount of electric charge remains constant. This means no charge is created or destroyed, only transferred.

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What is Coulomb's Law?

The force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

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What is an electric field?

It's a region around a charge where another charge experiences a force. It's defined as the force per unit positive charge.

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How do you calculate the electric field due to a point charge?

For a point charge, the electric field strength is directly proportional to the charge and inversely proportional to the square of the distance from it.

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What are electric field lines?

They are imaginary lines that represent the direction and strength of the electric field. Their properties help visualize the field.

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Field Lines Density

The strength of the electric field is proportional to the density of the field lines. Closer lines indicate a stronger field, while farther lines suggest a weaker field.

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Electric Dipole

A pair of equal and opposite charges separated by a small distance.

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Dipole Moment (p)

The product of the magnitude of one charge and the distance between the charges in an electric dipole.

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Axial Field of a Dipole

The electric field created by an electric dipole at a point along the axis connecting the two charges.

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Equatorial Field of a Dipole

The electric field created by an electric dipole at a point perpendicular to the axis connecting the two charges.

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Torque on a Dipole in a Uniform Field

The tendency of an electric dipole to align itself with an external electric field. It's calculated as the cross product of the dipole moment and the electric field.

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Stable Equilibrium of a Dipole

A state where the dipole moment is aligned with the electric field, resulting in zero torque, making the dipole stable.

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Unstable Equilibrium of a Dipole

A state where the dipole moment is opposite to the electric field, also resulting in zero torque, but the dipole is unstable, the slightest nudge will cause it to flip.

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Gauss's Law

The total amount of electric flux passing through a closed surface is directly proportional to the net electric charge enclosed within the surface.

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Electric field due to an infinite straight wire

The electric field due to an infinite straight wire is directly proportional to the linear charge density of the wire and inversely proportional to the distance from the wire.

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Electric field due to an infinite charged sheet

The electric field due to an infinite charged sheet is uniform and independent of the distance from the sheet.

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Electric field due to a spherical shell

The electric field inside a spherical shell or hollow sphere is zero, while the electric field outside is the same as that due to a point charge located at the center of the sphere.

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Electric flux (Φ)

The electric flux through a surface is the measure of the number of electric field lines passing through the surface.

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Φ = E.S = E S cosθ

The dot product of the electric field and the area vector of the surface, representing the component of the electric field perpendicular to the surface.

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Φ = ∫E.dS

The integral of the dot product of the electric field and the infinitesimal area element over the entire surface.

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Electric current

The quantity of electric charge passing through a given area per unit time.

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Coulomb's Law

The force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

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Dielectric Constant (K)

The ratio of the electric field strength in a vacuum to the electric field strength in the medium. It represents how much weaker the electric field becomes in the medium compared to air.

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Force & Distance Relation

The force between two charges decreases as the distance between them increases. The force is directly proportional to (1/distance2).

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Conductor

A material that allows electric charge to flow easily through it. It has free electrons that can move freely.

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Insulator

A material that resists the flow of electric charge. The electrons are tightly bound to their atoms.

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Earthing / Grounding

The process of transferring excess charge from a charged object to the Earth. It removes excess charge from the object.

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Charging by Induction

A method of charging a neutral object by bringing a charged object close to it, but without direct contact. This induces opposite charges on the neutral object.

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Charging by Friction

When two uncharged insulators are rubbed together, they acquire opposite charges due to the transfer of electrons. This is a fundamental way to create static electricity.

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What is the relationship between charge and excess electrons?

The total charge (q) of an object is directly proportional to the number of excess electrons (n) and the magnitude of the elementary charge (e). It can be expressed as:

q = ne

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How is the force between two charges calculated?

The force (F) between two point charges is directly proportional to the product of their magnitudes (q1 and q2) and inversely proportional to the square of the distance (r) between them. This is expressed by Coulomb's Law:

F = kq1q2 / r²

where k is Coulomb's constant (9 x 10^9 Nm²/C²).

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What is electric field strength?

The electric field strength (E) at a point is defined as the force (F) experienced by a unit positive charge (q) placed at that point. It is given by:

E = F/q

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How can you find the distance between two charges if you know the force?

The distance (r) between two charges can be determined using Coulomb's law and the known values of the charges (q1 and q2) and the force (F) between them. The equation can be rearranged as:

r² = kq1q2 / F

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How does the force between charges change when the distance is doubled?

If the distance between two charges is doubled, the force between them will be reduced to one-fourth of its original value. This is due to the inverse square relationship in Coulomb's Law.

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Does the medium between charges affect the force between them?

The force between two charges is independent of the medium between them. This is because the force between charges is a fundamental interaction and is not affected by the presence of other matter.

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What is the shape of the electric field lines for a point charge?

The electric field due to a point charge is radial. This means the field lines emanate outward from the point charge in a straight line, like spokes on a wheel.

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Is the electric field a vector or scalar quantity?

The electric field is a vector quantity, meaning it has both magnitude and direction. The direction of the electric field is defined as the direction of the force experienced by a positive test charge placed in the field

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Electric field lines

Electric field lines are imaginary lines that map the direction and strength of an electric field. They always start on positive charges and end on negative charges, and they never intersect.

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Electric flux

Electric flux is a measure of the amount of electric field passing through a surface. It's like the number of field lines crossing the surface.

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Dielectric Constant

The dielectric constant is a measure of a material's ability to reduce the electric field strength. A higher dielectric constant means it can 'weaken' the electric field more.

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Torque on a dipole in a uniform electric field

Torque is the twisting force that makes a dipole rotate in a uniform electric field. It's proportional to the dipole moment and the sine of the angle between the dipole moment and the electric field.

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Study Notes

Electric Charge

  • Charge is a property of matter, causing electrostatic force.
  • Symbol: q or Q
  • SI Unit: Coulomb (C)
  • Dimension: [AT]
  • Types: positive (+ve) and negative (-ve)

Properties of Charge

  • Additive: The total charge is the sum of all charges.
  • Quantized: Charges are multiples of elementary charge (e = 1.6 × 10⁻¹⁹ C).
  • Conserved: In an isolated system, the net charge remains constant.

Coulomb's Law

  • The force between two charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.
  • Formula: F = k * q₁ * q₂ / r²
  • k = 9 × 10⁹ Nm²/C²
  • r = distance between charges
  • q₁ and q₂ = magnitudes of the charges

Dielectric Constant

  • Represents the ratio of the force between two charges in a medium to the force between the same charges in vacuum.
  • K = 1 for vacuum/air
  • K > 1 for other mediums
  • Formula: Fₘ = Fₐᵢᵣ / K

Electric Field

  • The force experienced by a unit positive charge at a point.
  • Vector quantity
  • SI Unit: N/C
  • Formula: E = F / q

Electric Field due to a Point Charge

  • Formula: E = k * q / r²

Direction of Electric Field

  • From a positive charge, away.
  • Towards a negative charge.

Torque on Dipole in Uniform Electric Field

  • Formula: τ = p * E * sin θ
  • p = dipole moment
  • E = electric field strength
  • θ = angle between p and E

Electric Flux

  • Represents the measure of the electric field passing through a surface.
  • Formula: Φ = ∫E ⋅ dA (surface integral)
  • SI Unit: Nm²/C

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