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13 problems tagged with Electric Potential in Electrostatics

Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics
Electromagnetism › Electrostatics

P0807

Intermediate Electromagnetism › Electrostatics

Potential and Energy in Point Charge Fields

Assume the electric potential at infinity is zero. The characteristics of the electric potential U at a point P and the potential energy $E_p$ of a test charge in the electric field of a source charge Q are given in the table below. Complete the table.

Source Charge $U_p$ (+ or -) $E_p$ of +q (+ or -) $E_p$ of -q (+ or -) When P moves closer to the source charge
Change in U
+Q + + Increases
-Q
Electric Potential

P0808

Intermediate Electromagnetism › Electrostatics

Potential at the Center of a Square

In air, point charges are placed at the four corners of a square with side length $a$. Their charges are $q$, $2q$, $3q$, and $-4q$, respectively.

Find the electric potential at the center of the square.
Electric Potential

P0809

Intermediate Electromagnetism › Electrostatics

Potential on the Axis of a Charged Ring

A ring of radius $R$ has a total charge $q$ distributed uniformly over it.

Find the electric potential at a point on the axis of the ring at a distance $x$ from its center.
Electric Potential

P0810

Intermediate Electromagnetism › Electrostatics

Zero Potential Points for Two Charges

Two point charges, $q_1 = +3 \times 10^{-7}$ C and $q_2 = -2 \times 10^{-7}$ C, are separated by 5 cm.

Find the points on the line passing through them where the electric potential is zero.
Electric Potential

P0811

Intermediate Electromagnetism › Electrostatics

Work Done by Electric Field on a Charge

When a point charge is moved from point M with a potential of 500 V to point N with a potential of 200 V, the electric field does $-6.0 \times 10^{-5}$ J of work.

Find the charge of the point charge.
Electric Potential

P0812

Intermediate Electromagnetism › Electrostatics

Potential Difference and Work

The potential difference $U_{AB}$ between points A and B in an electric field is -150 V. A test charge of $q = -3 \times 10^{-6}$ C is moved from point B to point A.

  1. Which point, A or B, has a higher potential?
  2. How much work is done by the electric field?
Electric Potential

P0813

Intermediate Electromagnetism › Electrostatics

Definition and Conversion of Electron-Volt

When studying the motion of microscopic particles, the electron-volt (eV) is often used as a unit of energy. 1 eV is the potential energy gained or lost by an electron when it moves through a potential difference of 1 V.

How many joules are in 1 eV?
Electric Potential

P0814

Intermediate Electromagnetism › Electrostatics

Electron Potential Energy Near a Point Charge

In a vacuum, there is a point charge $Q = -1.2 \times 10^{-6}$ C. An electron is initially located 3 cm away from Q, and then moves to a position 4 cm away from Q.

  1. What is its initial potential energy in electron-volts?
  2. What is its final potential energy in electron-volts?
Electric Potential

P0815

Intermediate Electromagnetism › Electrostatics

Potential and Work in Uniform Electric Field

As shown in the figure, there is a uniform electric field between parallel plates A and B, which carry equal and opposite charges in the air. The electric field strength is $E = 2 \times 10^4$ V/m, and the distance between the plates is 10 cm. In the electric field, point C is 3 cm from plate B, and point D is 2 cm from plate A.

  1. Between points C and D, which has a higher electric potential? What is the potential difference $U_{CD}$?
  2. If plate B is grounded ($U_B = 0$), what are the potentials $U_C$ and $U_D$? If plate A is grounded, what are $U_C$ and $U_D$? Is $U_{CD}$ the same in both cases?
  3. An electron moves from point C to point D. How much work is done by the electric field? If the electron is first moved to point E, and then to point D, how much work is done by the electric field?
Electric Potential

P0841

Intermediate Electromagnetism › Electrostatics

Electron Motion Between Points in Non-Uniform Field

In the non-uniform electric field shown in figure, an electron moves from point $a$ to point $b$ along a field line. The electron is subject only to the electric force, and at point $a$ it has velocity $v_1$ directed along the field line. The field lines are more densely packed at $a$ than at $b$, indicating a stronger field at $a$.

How do the speed, the magnitude of acceleration, and the electric potential energy of the electron at point $b$ compare with those at point $a$?
Electric Field Electric Potential

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