The resultant capacitance between A and B in the following figure is equal to

(1) 1 μF

(2) 31120 μF

(3) 2 μF

(4) 12031μF

Concept Questions :-

Combination of capactiors
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In the following circuit, the resultant capacitance between A and B is -

(1) 3211μF

(2) 1132μF

(3) 2332μF

(4) 10 μF

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A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of the resulting system 

1. increases by a factor of 4

2.decreases by a factor of 2

3. remain the same 

4. increases by a factor of 2

Concept Questions :-

Combination of capactiors
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The diagrams below show regions of equipotentials.

 

A positive charge is moved from A to B in each diagram. 

(a) Maximum work is requried to move q in figure(iii)

(b) In all the four cases,the work done is the same 

(c) Minimum work is requried to move q in the figure(i) 

(d) Maximum work is required to move q in figure(ii) 

Concept Questions :-

Equipotential surfaces
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A parallel-plate capacitor of area A, plate separation d, and capacitance C is filled with four dielectric materials having dielectric constants k1,k2,k3 and k4 as shown in the figure below. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant k is given by

       

(a) k=k1+k2+k3+3k4

(b) k=23k1+k2+k3+2k4

(c) 2k=3k1+k2+k3+1k4

(d) 1k=1k1+1k2+1k3+32k4

Concept Questions :-

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A capacitor of 2μF is charged as shown in the figure. When the switch S is turned to position 2, the percentage of its stored energy dissipated is

   

1. 20%               2. 75%

3. 80%               4. 0%

Concept Questions :-

Energy stored in capacitor
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A parallel plate air capacitor of capacitance C is connected, to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant K, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?

(a) The potential difference between the plates decreases K times

(b) The energy stored in the capacitor decreases K times

(c) The change in energy stored is 12CV21K-1

(d) The charge on the capacitor is not conserved

Concept Questions :-

Energy stored in capacitor
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If potential (in volts) in a region is expressed as V(x,y,z)=6xy-y+2yz, the electric field (in N/C) at point (1,1,0) is       


(a)-(3i^+5j^+3k^)
(b)-(6i^+5j^+2k^)
(c)-(2i^+3j^+k^)
(d)-(6i^+9j^+k^

Concept Questions :-

Relation between field and potential
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A parallel plate air capacitor has capacity C, distance of separation between plates is d and potential difference V is applied between the plates. Force of attraction between the plates of the parallel plate air capacitor is

(a)C2V2/2d

(b)CV2/2d

(c)CV2/d

(d)C2V2/2d2

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Two thin dielectric slabs of dielectric constants K1&K2 (K1<K2) are inserted between plates of a parallel capacitor, as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by  

1.

2. 

3.

4.

Concept Questions :-

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