Electric Charge: Properties and Behavior

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Questions and Answers

A neutral metal sphere is touched by a negatively charged rod. As a result, the sphere becomes negatively charged. What type of charging is this?

  • Polarization
  • Charging by friction
  • Charging by conduction (correct)
  • Charging by induction

The total electric charge in an isolated system can either increase or decrease, depending on the interactions within the system.

False (B)

State Coulomb's Law in words, explaining the relationship between force, charge, and distance.

Coulomb's Law states that the electrostatic force between two point charges is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them.

Materials that allow electric charge to move freely are called ______.

<p>conductors</p> Signup and view all the answers

Match the charging methods with their descriptions:

<p>Charging by Friction = Transfer of electrons between two neutral objects when rubbed together. Charging by Conduction = Transfer of charge between a charged object and a neutral object through direct contact. Charging by Induction = Redistribution of charge within a neutral object due to a nearby charged object.</p> Signup and view all the answers

Two point charges, +q and -q, are placed a distance r apart. What happens to the electrostatic force between them if the distance is doubled?

<p>The force is reduced to one-quarter. (B)</p> Signup and view all the answers

Which of the following statements accurately describes electric field lines?

<p>Electric field lines are parallel to the electric field vector. (C)</p> Signup and view all the answers

Three charges are arranged in an equilateral triangle. Two of the charges are +q, and one is -q. What can be said of the net force on the negative charge?

<p>The net force points towards the center of the triangle. (B)</p> Signup and view all the answers

What is the primary factor that determines the direction of an electric field?

<p>The sign of the test charge (C)</p> Signup and view all the answers

Electric field lines can cross each other in space where electric fields from multiple charges are present.

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

A point charge of +2 Coulombs is placed 1 meter away from a point charge of -2 Coulombs, forming a dipole. Define the equation for the dipole moment.

<p>$p = qd$</p> Signup and view all the answers

The electric field inside a uniformly charged hollow sphere is always ____.

<p>zero</p> Signup and view all the answers

Match the following charge distributions with their corresponding electric field symmetries:

<p>Spherically symmetric charge distribution = Electric field depends only on the distance from the center Cylindrically symmetric charge distribution = Electric field depends only on the distance from the axis of symmetry Planar charge distribution = Electric field is perpendicular to the plane and uniform</p> Signup and view all the answers

Consider a closed surface enclosing a net charge of zero. According to Gauss's Law, what can be said about the electric field on the surface?

<p>The net electric flux through the surface is zero. (C)</p> Signup and view all the answers

Gauss's Law is applicable for calculating the electric field due to asymmetric charge distributions.

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

What is the significance of the angle θ in the formula ΦE = E * A * cos(θ) for electric flux?

<p>angle between electric field and the normal to the surface</p> Signup and view all the answers

The electric field inside a conductor in electrostatic equilibrium is always ____.

<p>zero</p> Signup and view all the answers

A metallic sphere of radius $R$ has a charge $+Q$ uniformly distributed on its surface. What is the magnitude of the electric field at a point inside the sphere at a distance $r < R$ from the center?

<p>$E = 0$ (D)</p> Signup and view all the answers

Flashcards

Electric Charge

A fundamental property causing matter to experience force in an electromagnetic field.

Types of Electric Charge

Protons (positive) and electrons (negative).

SI Unit of Electric Charge

Coulomb (C).

Charge is Quantized

Charge exists in discrete multiples of the elementary charge (e).

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Charge is Conserved

Total electric charge in an isolated system remains constant.

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Conductors

Materials allowing free movement of electric charge (e.g., metals).

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Coulomb's Law

Electrostatic force is directly proportional to the product of charges and inversely proportional to the square of the distance.

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Electric Field

Region around a charged object where another charged object experiences a force.

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Electric Field Intensity (E)

Electric force per unit positive charge exerted on a test charge.

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Electric Field Lines

Visual representation of the electric field; density indicates field strength.

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E Field of a Point Charge

E = k * (|q|) / r^2, where k is Coulomb's constant.

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Electric Dipole

Two equal but opposite charges (+q, -q) separated by a small distance (d).

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Dipole Moment (p)

p = qd (charge times separation distance), direction from - to +.

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Electric Flux (ΦE)

Measure of electric field lines passing through a surface.

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Electric Flux (Uniform Field)

ΦE = E * A * cos(θ), where θ is the angle between E and the surface normal.

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Gauss's Law

ΦE = ∮ E ⋅ dA = Qenc / ε0. Relates flux through a closed surface to enclosed charge.

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Gaussian Surface

Surface chosen to exploit symmetry for applying Gauss's Law.

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Electrostatic Shielding

Electric field inside a conductor is always zero, shielding from external fields.

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