Understanding Electric Charge
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Questions and Answers

Two identical metal spheres, one with a charge of $+3q$ and the other with a charge of $-q$, are brought into contact and then separated. What is the final charge on each sphere?

  • Both spheres have a charge of $+2q$.
  • Both spheres have a charge of $+q$. (correct)
  • One sphere has a charge of $+3q$ and the other has a charge of $-q$.
  • One sphere is uncharged, and the other has a charge of $+2q$

Which of the following statements regarding electric field lines is NOT correct?

  • Electric field lines can intersect each other in regions of strong electric fields. (correct)
  • Electric field lines originate from positive charges and terminate on negative charges.
  • Electric field lines are a visual representation of the direction and magnitude of the electric field.
  • The density of electric field lines indicates the strength of the electric field.

A proton is moved from point A to point B in an electric field. The electric potential at point A is 5V, and the electric potential at point B is 15V. If the charge of a proton is $1.602 \times 10^{-19}$ C, what is the change in electric potential energy of the proton?

  • $2.403 \times 10^{-18}$ J
  • $8.01 \times 10^{-19}$ J
  • $3.204 \times 10^{-18}$ J
  • $1.602 \times 10^{-18}$ J (correct)

A parallel plate capacitor has a capacitance of $C$ when there is vacuum between the plates. If a dielectric material with a dielectric constant of $\kappa = 3$ is inserted between the plates, what is the new capacitance?

<p>$3C$ (D)</p> Signup and view all the answers

What is the net electric flux through a closed surface enclosing a dipole?

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

An electric dipole with a dipole moment of $p = 2 \times 10^{-30}$ Câ‹…m is placed in a uniform electric field of $E = 5 \times 10^4$ N/C. If the angle between the dipole moment and the electric field is 30 degrees, what is the magnitude of the torque on the dipole?

<p>$5 \times 10^{-25}$ Nâ‹…m (D)</p> Signup and view all the answers

A point charge of $+2q$ is placed at the origin. A second point charge of $-q$ is placed at a distance $d$ from the origin along the x-axis. At what point on the x-axis is the electric potential zero?

<p>At $x = 2d$ (D)</p> Signup and view all the answers

Consider a uniformly charged sphere of radius R with total charge Q. Which of the following statements about the electric field is correct?

<p>The electric field increases linearly with distance from the center inside the sphere. (B)</p> Signup and view all the answers

A capacitor is charged to a potential difference of V. If both the charge on each plate and the potential difference are doubled, by what factor does the energy stored in the capacitor increase?

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

Two point charges, $+q$ and $-q$, are separated by a distance $d$. What is the magnitude of the electric field at a point midway between the charges?

<p>$\frac{4kq}{d^2}$ (C)</p> Signup and view all the answers

Which of the following statements accurately describes the behavior of conductors in electrostatic equilibrium?

<p>Any net charge resides on the surface of the conductor. (A)</p> Signup and view all the answers

A parallel-plate capacitor is connected to a battery. What happens to the charge on the capacitor if the distance between the plates is doubled while the capacitor remains connected to the battery?

<p>The charge is halved. (B)</p> Signup and view all the answers

Charging by induction involves:

<p>Redistribution of charge within an object due to the presence of a nearby charged object, without direct contact. (B)</p> Signup and view all the answers

Which of the following is true about the conservation of electric charge?

<p>The total electric charge in an isolated system remains constant. (A)</p> Signup and view all the answers

A $2 \mu F$ capacitor is charged to 12 V and then disconnected from the battery. It is then connected in parallel with an uncharged $4 \mu F$ capacitor. What is the final potential difference across each capacitor?

<p>4 V (B)</p> Signup and view all the answers

Flashcards

Electric Charge

Fundamental property causing matter to experience force in an electromagnetic field.

Types of Electric Charges

Two types: positive (protons) and negative (electrons).

Quantization of Electric Charge

Electric charge exists in discrete amounts, multiples of elementary charge 'e'.

Conservation of Electric Charge

Total electric charge in an isolated system remains constant.

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Charging by Friction

Transferring electrons between objects through rubbing.

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Coulomb's Law

Force between two point charges is proportional to charge magnitudes and inversely proportional to the square of the distance.

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Electric Field

Region around a charged object where force is exerted on other charges.

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Electric Field Intensity (E)

Force per unit positive charge at a point in space.

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Electric Field Lines

Visual representation of electric fields showing direction and strength.

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Electric Dipole

Pair of equal and opposite charges separated by a distance.

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Electric Flux

Measure of electric field lines passing through an area.

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Gauss's Law

Relates electric flux to enclosed charge, flux through a closed surface equals the enclosed charge divided by permittivity.

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Electric Potential

Work needed to move a unit positive charge from a reference point to a specific point inside the electric field.

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Conductors

Materials that allow electric charge to move freely.

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Capacitor

Device used to store electrical energy, consisting of two conductors separated by an insulator.

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Study Notes

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Description

Explore the fundamental concepts of electric charge, its types (positive and negative), and the behavior of charged particles. Learn about the quantization of electric charge and its relationship to elementary particles like protons and electrons. Understand the unit of electric charge.

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