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TEST-III(ELECTRIC POTENTIAL & CAPACITANCE)

Total questions: 20

Worksheet time: 11mins

Name
Class
Date
1.

The expression for Electric potential due to a point charge at a distance 'r' from it is____________

a)

14πϵ 0 q2 r\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q^{2\ }}{r}

b)

14πϵ 0 qr\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q}{r}

c)

14πϵ 0 q2 r2\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q^{2\ }}{r^2}

d)

14πϵ 0 q r2\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q\ }{r^2}

2.

Electric potential at a point due to a dipole is

a)

14πεo p.rr3\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r^3}

b)

14πεo p.rr2\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r^2}

c)

14πεo p.rr\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r}

d)

14πεo p.r\frac{1}{4πε_o}\ p⃗.r⃗

3.

Electrostatic potential energy is recorded in units of electron-Volts (eV). What is equivalent to 1 eV?

a)

1.602×10−19 𝐽

b)

100 𝐽

c)

220 𝐽

d)

0.003 𝐽

4.

Two charge +Q and -Q are situated at a certain distance. At the point exactly midway between them

a)

Electric field and potential both are zero

b)

Electric field is zero but potential is not zero

c)

Electric field is not zero but potential is zero

d)

Neither electric field nor potential is zero

5.

The correct relationship between Capacitance (C), charge (Q) and potential (V) is

a)

C=QV

b)

Q=CV

c)

V=QC

d)

C=V/Q

6.

The correct expression for the capacitance of a parallel plate capacitor is

a)


C=ϵodAC=\frac{\epsilon_od}{A}

b)

C=ϵoVAdC=\frac{\epsilon_oV}{Ad}

c)

C=ϵoAdC=\frac{\epsilon_oA}{d}

d)

C=ϵoAdC=\frac{\epsilon_o}{Ad}

7.

 The equivalent capacitance of three capacitors with capacitance  C1, C2 and C3C_1,\ C_2\ and\ C_3  connected in parallel is 

a)

 C=C1+C2+C3C=C_1+C_2+C_3  

b)

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

c)

 C=1C1+1C2+1C3C=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}  

d)

 C=C1C2C3C=C_1C_2C_3  

8.

Which of the following is not the correct relation for the dielectric constant  \left(\kappa\right) 

a)

 κ=FoF\kappa=\frac{F_o}{F}  

b)

 κ=CCo\kappa=\frac{C}{C_o}  

c)

 κ=CoC\kappa=\frac{C_o}{C}  

d)

 κ=ϵmϵo\kappa=\frac{\epsilon_m}{\epsilon_o}  

9.
The capacitance of a parallel-plate capacitor can be increased by: 
a)
increasing the charge 
b)
decreasing the charge 
c)
increasing the plate separation
d)
decreasing the plate separation 
10.
If the capacitor is DISCONNECTED from the battery, what remains constant if the distance of separation of the metal plates of the capacitor is increased?
a)
Charge stored in the capacitor
b)
Voltage across the plates of the capacitor
c)
Capacitance
d)
Energy of the capacitor
11.

Two charged spheres of radii 10 cm and 15 cm are connected by a thin wire. No current will flow, if they have

a)

The same charge on each

b)

The same energy

c)

The same potential

d)

The same field on their surfaces

12.

Three charges 2q, -q, -q are located at the vertices of an equilateral triangle. At the centre of the triangle

a)

The field is zero but potential is non-zero

b)

Both field and potential are zero

c)

Both field and potential are non-zero

d)

The field is non-zero but potential is zero

13.

Two spheres A and B of radius ‘a’ and ‘b’ respectively are at same electric potential. The ratio of the surface charge densities of A and B is

a)

a2b2\frac{a^2}{b^2}

b)

b2a2\frac{b^2}{a^2}

c)

ab\frac{a}{b}

d)

ba\frac{b}{a}

14.

The radius of a soap bubble whose potential is 16V is doubled. The new potential of the bubble will be

a)

8V

b)

2V

c)

4V

d)

16V

15.

Two point charges are separated by a distance of 0.008 m. Charge on point A =-8 C and charge on point B = -7 C.


[k = 9 x 109 Nm2C−2]


What is the electric potential energy between these two charges?

a)

7.9 x 1013 J

b)

5.7 x 1011 J

c)

6.3 x 1013 J

d)

6.3 x 1011 J

16.

Electric potential and electric potential energy are NOT the same.

a)

True

b)

False

17.

For a positive charged particle, the vectors point

a)

away

b)

toward

18.
At which point is the electric field the weakest?
a)
A because it is the furthest away
b)
A because the field lines are further apart
c)
C because the field lines are further apart
d)
C  because it is the furthest away
19.
Qand Qare two charges creating an electric field. Based on the electric field lines, we can conclude
a)
Qand Qare both positive
b)
Qand Qare both negative
c)
Qis positive and Qis negative
d)
Qis negative and Qis positive
20.

Electric potential energy is greatest at point...

a)

A

b)

B