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Electrostatics

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Differential form of Gauss law

a)

E.ds = qϵ0\oint_{ }^{ }E.ds\ =\ \frac{q}{\epsilon_0}

b)

2V=ρϵ0\nabla^2V=-\frac{\rho}{\epsilon_0}

c)

.E =ρϵ0\nabla.E\ =\frac{\rho}{\epsilon_0}

d)

Δ.E=ρϵ0\Delta.E=\frac{\rho}{\epsilon_0}

2.

Unit of dipole moment

a)

CC

b)

Cm\frac{C}{m}

c)

Cm2Cm^2

d)

CmCm

3.

The electric field inside a conductor is

(a)  

4.
A volt is a unit of 
a)
charge. .
b)
electric potential. 
c)
energy. 
d)
work.
5.

Electric field due to an infinite plane sheet of charge

a)

E=q2ϵ0E=\frac{q}{2\epsilon_0}

b)

E=σ2ϵ0E=\frac{\sigma}{2\epsilon_0}

c)

E=σϵ0E=\frac{\sigma}{\epsilon_0}

d)

E=ρϵ0E=\frac{\rho}{\epsilon_0}

6.

Electric potential at an internal point due to a uniformly charged conducting sphere of radius R is

a)

 14πϵ0 qR2\frac{1}{4\pi\epsilon_0}\ \frac{q}{R^2}  

b)

 14πϵ0 qR3R\frac{1}{4\pi\epsilon_0}\ \frac{q}{R^3}^{\overrightarrow{R}}  

c)

 14πϵ0 qR\frac{1}{4\pi\epsilon_0}\ \frac{q}{R}  

d)

 18πϵ0 qrR3\frac{1}{8\pi\epsilon_0}\ \frac{qr}{R^3}  

7.

Potential due to an electric dipole consisting of two charges +q and -q separated by a distance 2d is

a)

V=14πϵ0 psin θr2V=\frac{1}{4\pi\epsilon_0}\ \frac{p\sin\ \theta}{r^2}

b)

V=14πϵ0 pr2V=\frac{1}{4\pi\epsilon_0}\ \frac{p}{r^2}

c)

V=14πϵ0 pcos θrV=\frac{1}{4\pi\epsilon_0}\ \frac{p\cos\ \theta}{r}

d)

V=14πϵ0 pcos θr2V=\frac{1}{4\pi\epsilon_0}\ \frac{p\cos\ \theta}{r^2}

8.

Capacitance of a spherical capacitor of radii a and b is

a)

C=4πϵ0b2baC=\frac{4\pi\epsilon_0b^2}{b-a}

b)

C=2πϵ0llog (ba)C=\frac{2\pi\epsilon_0l}{\log\ \left(\frac{b}{a}\right)}

c)

C=4πϵ0bbaC=\frac{4\pi\epsilon_0b}{b-a}

d)

C=2πϵ0log (ba)C=\frac{2\pi\epsilon_0}{\log\ \left(\frac{b}{a}\right)}

9.

What is the expression for potential energy of a dipole in a uniform electric field?

a)

p.E-\ \overrightarrow{p}.\overrightarrow{E}

b)

p ×E\overrightarrow{p}\ \times\overrightarrow{E}

c)

qEq\overrightarrow{E}

d)

pE sin θpE\ \sin\ \theta

10.

Expression for capacitance in parallel

a)

1C1 + 1C2 +1C3\frac{1}{C_1}\ +\ \frac{1}{C_2}\ +\frac{1}{C_3}

b)

C1+C2+C3C_1+C_2+C_3

11.

The capacitance of a parallel plate capacitor is 400 pico Farad and its plates are separated by 2 mm of air. What is the energy when it is charged to 1500 volts?

a)

4.5×102J4.5\times10^{-2}J

b)

0.45×102J0.45\times10^{-2}J

c)

4.5×104J4.5\times10^{-4}J

d)

4.5×105J4.5\times10^{-5}J

12.
Electrostatic force F exists between two point charges. If the both charges are doubled, the force between the charges will be
a)
F
b)
4F
c)
2F
d)
F/4
13.
Which of the following is a false statement about electrostatic force.
a)
Bringing charges closer together strengthen the force.
b)
The electrostatic constant remains the same.
c)
The values of the two charges is always the same.
d)
Electrostatic force can be attractive or repulsive
14.
Two similar metal spheres, A and B, have charges of +2.0 x 10-6 coulomb and +1.0 x 10-6 coulomb, respectively. The magnitude of the electrostatic force on A due to B is 4.0N newtons. What is the magnitude of the electrostatic force on B due to A?
a)
2.0N
b)
4.0N
c)
8.0N
d)
1.0N
15.

2 charged objects both feel a force of 200 N. If q1 becomes 3 times bigger, what is the new force

a)

203

b)

600

c)

66.7

d)

1800

16.

2 charges are 20 cm apart and feel a force of 500 N. if the distance between them becomes 60 cm, what is the new force

a)

4500

b)

540

c)

1500

d)

55.6

17.
Sphere A carries a charge of +8 coulombs, and Sphere B carries a charge of -6 coulombs.  If the two are touched together and then separated, what will the charge on sphere A be?
a)
+1
b)
-1
c)
+2
d)
-2
18.
The electrostatic force between two charges located 8 meters apart is 0.10 N. What will the force be between these charges when they are located 2 meters apart? 
a)
0.01 N  
b)
0.03 N 
c)
0.1 N 
d)
1.6 N
19.
a)

1 uF

b)

3 uF

c)

2 uF

d)

1/4 uF

20.
How close must two electrons be to generate a force of 1000 N. Charge of an electron = 1.6x10-19 C
a)
4.8E-16
b)
2.35E-31
c)
1.4E-10
d)
1.2E-5