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13 problems tagged with Electric Potential in Electrostatics
P0807
Intermediate Electromagnetism › ElectrostaticsPotential 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 |
P0808
Intermediate Electromagnetism › ElectrostaticsPotential 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.
P0809
Intermediate Electromagnetism › ElectrostaticsPotential on the Axis of a Charged Ring
A ring of radius $R$ has a total charge $q$ distributed uniformly over it.
P0810
Intermediate Electromagnetism › ElectrostaticsZero 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.
P0811
Intermediate Electromagnetism › ElectrostaticsWork 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.
P0812
Intermediate Electromagnetism › ElectrostaticsPotential 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.
- Which point, A or B, has a higher potential?
- How much work is done by the electric field?
P0813
Intermediate Electromagnetism › ElectrostaticsDefinition 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.
P0814
Intermediate Electromagnetism › ElectrostaticsElectron 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.
- What is its initial potential energy in electron-volts?
- What is its final potential energy in electron-volts?
P0815
Intermediate Electromagnetism › ElectrostaticsPotential 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.
- Between points C and D, which has a higher electric potential? What is the potential difference $U_{CD}$?
- 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?
- 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?
P0841
Intermediate Electromagnetism › ElectrostaticsElectron 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 $a$.
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