Electrostatics Principles

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Questions and Answers

A positive test charge $q_1$ is placed in an electric field. Which of the following statements accurately describes the direction of the electric field?

  • The electric field points towards the location where a negative charge would experience the greatest force.
  • The electric field points in the direction of decreasing electric potential.
  • There's no electric field. (correct)
  • The electric field is directed radially inward towards the positive charge.

The electric field at a distance $r$ from a point charge $q$ is given by $E = \frac{q}{r^2}$. If the charge is doubled and the distance is halved, by what factor does the electric field change?

  • It increases by a factor of four.
  • It increases by a factor of two.
  • It increases by a factor of eight. (correct)
  • It stays the same.

A conductor is placed in an external electric field and reaches electrostatic equilibrium. What is the magnitude of the electric field inside the conductor?

  • Zero. (correct)
  • Varies depending on the shape of the conductor.
  • Equal to the external applied field.
  • Non-zero, but constant throughout the conductor.

What is the electric field inside a uniformly charged spherical shell?

<p>Zero at all points inside. (D)</p> Signup and view all the answers

Under what conditions do charges move in a conductor?

<p>Move only when an electric field is applied. (B)</p> Signup and view all the answers

Which statement best describes the principle of conservation of charge?

<p>The total charge in a closed system is constant. (A)</p> Signup and view all the answers

Which condition must be met for a system to be considered electrically neutral?

<p>The number of positive charges must be equal to the number of negative charges. (B)</p> Signup and view all the answers

According to Gauss's Law, how does the electric flux through a closed surface surrounding a point charge depend on the size of the surface?

<p>The electric flux is independent of the size of the surface. (B)</p> Signup and view all the answers

A neutral object is brought near a charged object. What phenomenon primarily explains the interaction between them?

<p>The object becomes polarized. (D)</p> Signup and view all the answers

The electrostatic force between two point charges is 0.5 N, and the distance between them is 4 meters. If one of the charges has a magnitude of 2 C, what is the magnitude of the other charge?

<p>4 uC (D)</p> Signup and view all the answers

Flashcards

Electric field of positive test charge q1

There is no electric field around a positive test charge.

Effect on electric field strength

It increases by a factor of eight when the charge is doubled and the distance is halved, according to the equation E=kq/r^2.

Electric field inside conductor

The electric field inside a conductor is zero when it reaches electrostatic equilibrium.

Electric field inside charged sphere

The electric field inside a uniformly charged spherical shell is zero at all points inside the shell.

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Charge Movement in Conductors

In a conductor, charges move only when an electric field is applied, causing them to redistribute.

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Electrical Neutrality

For a system to be electrically neutral, the number of positive charges must equal the number of negative charges.

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Gauss's Law.

According to Gauss's Law, the electric flux through a closed surface surrounding a point charge is independent of the size of the surface.

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Connected Conductors

Exchange charge to reach an equal potential.

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Quantization of electric charge

Electric charge can only exist in integer multiples of the fundamental charge (e).

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Neutral object near charged object

The object becomes polarized when a neutral object is brought near a charged object.

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Study Notes

  • A positive test charge q1's electric field has no direction
  • When the charge doubles and the distance is halved, the electric field increases by a factor of eight, given E = q/R^2 where q is charge and R is distance.
  • A conductor in an electric field at electrostatic equilibrium has an electric field of zero inside
  • The electric field inside a uniformly charged spherical shell is zero at all points inside
  • In a conductor, charges move only when an electric field is applied
  • The principle of conservation of charge states the total charge in a closed system is constant
  • For a system to be electrically neutral, the number of positive charges must equal the number of negative charges
  • According to Gauss's Law, the electric flux through a closed surface surrounding a point charge is independent of the size of the surface
  • A neutral object near a charged object becomes polarized
  • Electric charge can only exist in integer multiples of fundamental charge due to the quantization of electric charge
  • Two conductors connected by a conducting wire exchange charge to reach an equal potential
  • If the electrostatic force is 0.5 N, the distance is 4 meters, and one charge is 2µC, the magnitude of the other charge is 4µC

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