12th
grade

Physics

54%

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173

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Ishmeet PPSNABHA

4 years

Physics

12th

grade

Electric Potential and Capacitance

Ishmeet PPSNABHA

173
plays

22 questions

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1. Multiple Choice
30 seconds
1 pt
The expression for Electric potential due to a point charge at a distance 'r' from it is____________
$\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q^{2\ }}{r}$
$\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q}{r}$
$\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q^{2\ }}{r^2}$
$\frac{1}{4\pi\epsilon\ _{0\ }}\ \frac{q\ }{r^2}$
2. Multiple Choice
30 seconds
1 pt
Electric potential at a point due to a dipole is
$\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r^3}$
$\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r^2}$
$\frac{1}{4πε_o}\ \frac{p⃗.r⃗}{r}$
$\frac{1}{4πε_o}\ p⃗.r⃗$
3. Multiple Choice
30 seconds
1 pt
The relation between electric field and electric potential is
$E=dV.dr$
$V=dE.dr$
$V=-\frac{dE}{dr}$
$E=-\frac{dV}{dr}$
4. Multiple Choice
30 seconds
1 pt
Electric potential energy of an electric dipole in a uniform electric field is given by

$U=\overrightarrow{p\ }\times\overrightarrow{E}$
$U=\overrightarrow{E}\times\overrightarrow{p}$
$U=-\overrightarrow{p\ }.\overrightarrow{E}$
$U=-\frac{\left(\overrightarrow{p\ }.\overrightarrow{\ E\ }\right)}{\epsilon_o}$
5. Multiple Choice
30 seconds
1 pt
The correct relationship between Capacitance (C), charge (Q) and potential (V) is
C=QV
Q=CV
V=QC
C=V/Q
6. Multiple Choice
30 seconds
1 pt
The correct expression for the capacitance of a parallel plate capacitor is

$C=\frac{\epsilon_od}{A}$
$C=\frac{\epsilon_oV}{Ad}$
$C=\frac{\epsilon_oA}{d}$
$C=\frac{\epsilon_o}{Ad}$
7. Multiple Choice
30 seconds
1 pt
The correct expression for the capacitance of a parallel plate capacitor is filled with a dielectric of dielectric constant $\kappa$
$C=\kappa\frac{\epsilon_od}{A}$
$C=\kappa\frac{\epsilon_oV}{Ad}$
$C=\kappa\frac{\epsilon_o}{Ad}$
$C=\kappa\frac{\epsilon_oA}{d}$
8. Multiple Choice
30 seconds
1 pt
The equivalent capacitance of three capacitors with capacitance $C_1,\ C_2\ and\ C_3$ connected in series is
$C=C_1+C_2+C_3$
$\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}$
$C=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}$
$\frac{1}{C}=\frac{1}{C_1}\times\frac{1}{C_2}\times\frac{1}{C_3}$
9. Multiple Choice
30 seconds
1 pt
The equivalent capacitance of three capacitors with capacitance $C_1,\ C_2\ and\ C_3$ connected in parallel is
$C=C_1+C_2+C_3$
$\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}$
$C=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}$
$C=C_1C_2C_3$
10. Multiple Choice
30 seconds
1 pt
Which of the following is not the correct expression for the energy stored in a capacitor.

$U=\frac{1}{2}CV^2$
$U=\frac{Q^2}{2C}$
$U=\frac{1}{2}QV$
$U=\frac{1}{2}C^2V$
11. Multiple Choice
30 seconds
1 pt
The electric field between the plates of a parallel plate capacitor is ___________

$E=\frac{\sigma}{\epsilon_o}$
$E=\frac{\sigma}{2\epsilon_o}$
$E=\sigma\epsilon_o$
$E=0$
12. Multiple Choice
30 seconds
1 pt
Which of the following is not the correct relation for the dielectric constant $\left(\kappa\right)$
$\kappa=\frac{F_o}{F}$
$\kappa=\frac{C}{C_o}$
$\kappa=\frac{C_o}{C}$
$\kappa=\frac{\epsilon_m}{\epsilon_o}$
13. Multiple Choice
2 minutes
1 pt
Which statements must be true about the surface of a charged conductor in which no charge is moving?
The electric field is zero at the surface.
The electric potential of the surface is zero.
The electric potential is constant over the surface.
The electric field is constant at the surface.
14. Multiple Choice
45 seconds
1 pt
How is the capacitance (C) of a parallel-plate capacitor affected by the charge on the plates ?
C depend on the charge on the plates
C is vanished when there are plates
C does not depend on the charge on the plates
C is accumulated on one side only
15. Multiple Choice
1 minute
1 pt
How is the capacitance of a parallel-plate capacitor affected by the potential difference across the capacitor ?
C depend on the potential difference across the capacitor
C does not depend on the potential difference across the capacitor
C partially depend on the potential difference across the capacitor
C sometime depend on the potential difference across the capacitor
16. Multiple Choice
1 minute
1 pt
Is there a limit to the amount of charge that capacitor can hold and why/why not?
Yes, as the ratio of charge to p.d. is fixed.
Yes, because the dielectric will breakdown in such a large field and charge will remain.
No, as capacitance can always increase as p.d. increases.
Yes, because the dielectric will breakdown in such a large field and charge will flow.
17. Multiple Choice
1 minute
1 pt
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?
Charge stored in the capacitor
Voltage across the plates of the capacitor
Capacitance
Energy of the capacitor
18. Multiple Choice
2 minutes
1 pt
What is the voltage across the plates of the capacitor if the capacitance is 10 uF and the Charge stored is 30 uC?
0.333 V
3 V
300 V
19. Multiple Choice
3 minutes
1 pt
If the capacitance is 47μF, and the voltage difference across the capacitor terminals is 6V, then the energy stored in that capacitor is:
846×10^-6Joule
7.23×10^-3 Joule
6.76×10^-5Joule
5.94×10^-2Joule
20. Multiple Choice
3 minutes
1 pt
The plates of a parallel-plate capacitor are 2.50mm apart, and each carries a charge of magnitude 80.0nC. The plates are in vacuum. The electric field between the plates has a magnitude of 4.00x10⁶V/m. What is the potential difference between the plates?
2.00x10⁴V
1.75x10^{4 P.D.}
1.00x10^-4P
1.00x10⁴V
not solvable! because capacitor has no potential difference because it should have an insulator in between.
21. Multiple Choice
2 minutes
1 pt
from question 20:

The plates of a parallel-plate capacitor are 2.50mm apart, and each carries a charge of magnitude 80.0nC. The plates are in vacuum. The electric field between the plates has a magnitude of 4.00x10⁶V/m.

What is the area of each plates?
2.26x10^-3cm²
2.26x10^-3m²
22.6m²
2.26cm²
none of the above
22. Multiple Choice
2 minutes
1 pt
The plates of a parallel-plate capacitor are 2.50mm apart, and each carries a charge of magnitude 80.0nC. The plates are in vacuum. The electric field between the plates has a magnitude of 4.00x10⁶V/m.

what is the capacitance?
zero
same as potential difference 4.00pF
8.99pF
8pF
8.00x10^-9F
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