If W be the amount of heat produced in the process of charging an uncharged capacitor then the amount of energy stored in it is

(1) 2W

(2) W2

(3) W

(4) zero

Subtopic:  Energy stored in Capacitor |
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A metallic sphere of capacitance C1, charged to electric potential V1 is connected by a metal wire to another metallic sphere of capacitance C2 charged to electric potential V2. The amount of heat produced in the connecting wire during the process is

(1)C1C22C1+C2V1+V22

(2) C1C22(C1+C2)(V1-V2)2

(3) C1C2C1+C2(V1-V2)2

(4) zero

Subtopic:  Energy stored in Capacitor |
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The electric potential at the surface of a charged solid sphere of insulator is 20V. The value of electric potential at its centre will be

1.  30V

2.  20V

3.  40V

4.  Zero

Subtopic:  Electric Potential |
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The capacitance of a parallel plate capacitor is C. If a dielectric slab of thickness equal to one-fourth of the plate separation and dielectric constant K is inserted between the plates, then new capacitance become

1. KC2K+1

2. 2KCK+1

3. 5KC4K+1

4. 4KC3K+1

Subtopic:  Dielectrics |
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The electric potential at a point at distance 'r' from a short dipole is proportional to

(1) r2

(2) r-1

(3) r-2

(4) r1

Subtopic:  Electric Potential |
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A hollow charged metal spherical shell has radius R. If the potential difference between its surface and a point at a distance 3R from the center is V, then the value of electric field intensity at a point at distance 4R from the center is

1.  3V19R

2.  V6R

3.  3V32R

4.  3V16R

Subtopic:  Electric Potential |
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Capacitors C1=10μF and C2=30μF are connected in series across a source of emf 20KV. The potential difference across C1 will be

(1) 5 KV

(2) 15 KV

(3) 10 KV

(4) 20 KV

Subtopic:  Combination of Capacitors |
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The equivalent capacitance between A and B is as the given figure:

(1) 16π0r

(2) 4π0r

(3) 8π0r

(4) None of these

Subtopic:  Combination of Capacitors |
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Two metallic spheres of radii 2cm and 3cm are given charges 6mC and 4mC respectively. The final charge on the smaller sphere will be if they are connected by a conducting wire

(1) 4mC

(2) 6mC

(3) 5mC

(4) 10mC

Subtopic:  Electric Potential |
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When a proton at rest is accelerated by a potential difference V, its speed is found to be v. The speed of an α particle when accelerated by the same potential difference from rest will be

(1) v

(2) v2

(3) v2

(4) 2v

Subtopic:  Electric Potential Energy |
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