Ten electrons are equally spaced and fixed around a circle of radius R. Relative to V = 0 at infinity, the electrostatic potential V and the electric field E at the centre C are:

1.  \(V \neq 0 \text { and } \vec{E} \neq 0\) 
2. \(V \neq 0 \text { and } \vec{E}=0\)
3. \(V=0 \text { and } \vec{E}=0\)
4. \(V=0 \text { and } \vec{E} \neq 0\)

Subtopic:  Electric Potential |
 77%
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A proton is about 1840 times heavier than an electron. When it is accelerated by a potential difference of 1 kV, its kinetic energy will be -

(1) 1840 keV

(2) 1/1840 keV

(3) 1 keV

(4) 920 keV

Subtopic:  Electric Potential |
 70%
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As per this diagram a point charge +q is placed at the origin O. Work done in taking another point charge –Q from the point A [co-ordinates (0, a)] to another point B [co-ordinates (a, 0)] along the straight path AB is

(1) Zero

(2) qQ4πε01a22a

(3) qQ4πε01a2a2

(4) qQ4πε01a22a

Subtopic:  Electric Potential |
 79%
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The capacity of a condenser is 4 × 10–6 farad and its potential is 100 volts. The energy released on discharging it fully will be -

(1) 0.02 Joule

(2) 0.04 Joule

(3) 0.025 Joule

(4) 0.05 Joule

Subtopic:  Energy stored in Capacitor |
 83%
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The energy stored in a condenser of capacity C which has been raised to a potential V is given by -

(1) 12CV

(2) 12CV2

(3) CV

(4) 12VC

Subtopic:  Energy stored in Capacitor |
 94%
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Eight drops of mercury of equal radii possessing equal charges combine to form a big drop. Then the capacitance of bigger drop compared to each individual small drop is 

(1) 8 times

(2) 4 times

(3) 2 times

(4) 32 times

Subtopic:  Capacitance |
 67%
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The capacity of a parallel plate condenser is C. It's capacity when the separation between the plates is halved will be?

(1) 4 C

(2) 2 C

(3) C2

(4) C4

Subtopic:  Capacitance | Energy stored in Capacitor |
 88%
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If the dielectric constant and dielectric strength be denoted by k and x respectively, then a material suitable for use as a dielectric in a capacitor must have:

1. high k and high x.

2. high k and low x.

3. low k and low x.

4. low k and high x.

Subtopic:  Dielectrics in Capacitors |
 56%
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64 drops each having the capacity C and potential V are combined to form a big drop. If the charge on the small drop is q, then the charge on the big drop will be 

(1) 2q

(2) 4q

(3) 16q

(4) 64q

Subtopic:  Electric Potential |
 59%
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The capacity of a parallel plate capacitor increases with the 

(1) Decrease of its area

(2) Increase of its distance

(3) Increase of its area

(4) None of the above

Subtopic:  Capacitance |
 85%
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