n identical condensers are joined in parallel and are charged to potential V. Now they are separated and joined in series. Then the total energy and potential difference of the combination will be 

(1) Energy and potential difference remain the same

(2) Energy remains the same and the potential difference is nV

(3) Energy increases n times and potential difference is nV

(4) Energy increases n times and potential difference remains the same

Subtopic:  Energy stored in Capacitor |
 53%
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Five capacitors of 10 μF capacity each are connected to a d.c. potential of 100 volts as shown in the adjoining figure. The equivalent capacitance between the points A and B will be equal to 

(1) 40 μF

(2) 20 μF

(3) 30 μF

(4) 10 μF

Subtopic:  Combination of Capacitors |
 88%
From NCERT
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Three capacitors of capacitances \(3~\mu\text{F}\), \(9~\mu\text{F}\) and \(18~\mu\text{F}\) are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases \(\frac{C_s}{C_p}\) will be:
1. \(1:15\)
2. \(15:1\)
3. \(1:1\)
4. \(1:3\)

Subtopic:  Combination of Capacitors |
 87%
From NCERT
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Four condensers each of capacity 4 μF are connected as shown in figure and VPVQ = 15 volts. The energy stored in the system is 

(1) 2400 ergs

(2) 1800 ergs

(3) 3600 ergs

(4) 5400 ergs

Subtopic:  Energy stored in Capacitor |
 83%
From NCERT
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In an adjoining figure are shown three capacitors C1, C2 and C3 joined to a battery. The correct condition will be (Symbols have their usual meanings) :

(1) Q1 = Q2 = Q3 and V1 = V2 = V3 = V

(2) Q1 = Q2 + Q3 and V = V1 + V2 + V3

(3) Q1 = Q2 + Q3 and V = V1 + V2

(4) Q2 = Q3 and V2 = V3

Subtopic:  Capacitance |
 67%
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In the circuit diagram shown in the adjoining figure, the resultant capacitance between P and Q is 

(1) 47 μF

(2) 3 μF

(3) 60 μF

(4) 10 μF

Subtopic:  Combination of Capacitors |
 89%
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Two capacitances of capacity C1 and C2 are connected in series and potential difference V is applied across it. Then the potential difference across C1 will be:

(1) VC2C1

(2) VC1+C2C1

(3) VC2C1+C2

(4) VC1C1+C2

Subtopic:  Combination of Capacitors |
 76%
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A capacitor of capacity C1 is charged to the potential of V0. On disconnecting with the battery, it is connected with a capacitor of capacity C2 as shown in the adjoining figure. The ratio of energies before and after the connection of switch S will be

(1) (C1 + C2)/C1

(2) C1/(C1 + C2)

(3) C1C2

(4) C1/C2

Subtopic:  Energy stored in Capacitor |
 56%
From NCERT
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Four capacitors each of capacity \(3~\mu\text{F}\) are connected as shown in the adjoining figure. The ratio of equivalent capacitance between \(A\) and \(B\) and between \(A\) and \(C\) will be:

       

1. \(4:3\)

2. \(3:4\)

3. \(2:3\)

4. \(3:2\)

Subtopic:  Combination of Capacitors |
 69%
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A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is \(A\) metre2 and the separation is \(t\) metre. The dielectric constants are \(k_1\) and \(k_2\) respectively. Its capacitance in farad will be:

        
1. \(\frac{\varepsilon_{0} A}{t} \left( k_{1} + k_{2}\right)\)
2. \(\frac{\varepsilon_{0} A}{t} \frac{\left( k_{1} + k_{2}\right)}{2}\)
3. \(\frac{2\varepsilon_{0} A}{t} \left( k_{1} + k_{2}\right)\)
4. \(\frac{\varepsilon_{0} A}{t} \frac{\left( k_{1} - k_{2}\right)}{2}\)

Subtopic:  Dielectrics in Capacitors |
 62%
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