In the figure a capacitor is filled with dielectrics. The resultant capacitance is 

(1) 2ε0Ad1k1+1k2+1k3

(2) ε0Ad1k1+1k2+1k3

(3) 2ε0Ad[k1+k2+k3]

(4) None of these

Subtopic:  Combination of Capacitors |
 63%
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Three capacitors of capacitance 3 μF, 10 μF and 15 μF are connected in series to a voltage source of 100V. The charge on 15 μF is 

(1) 50 μC

(2) 100 μC

(3) 200 μC

(4.) 280 μC

Subtopic:  Combination of Capacitors |
 82%
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Two capacitors \(C_1 = 2~\mu\text{F}\) and \(C_2 = 6~\mu \text{F}\) in series, are connected in parallel to a third capacitor \(C_3= 4~\mu\text{F}\). This arrangement is then connected to a battery of \(\text{emf}= 2~\text{V}\), as shown in the figure. How much energy is lost by the battery in charging the capacitors? 


1. \(22\times 10^{-6}~\text{J}\)
2. \(11\times 10^{-6}~\text{J}\)
3. \(\frac{32}{3}\times 10^{-6}~\text{J}\)
4. \(\frac{16}{3}\times 10^{-6}~\text{J}\)

Subtopic:  Energy stored in Capacitor |
 78%
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A parallel plate capacitor has capacitance \(C\). If it is equally filled with parallel layers of materials of dielectric constants \(K_1\) and \(K_2\), its capacity becomes \(C_1\). The ratio of \(C_1\) to \(C\) is:

1. \(K_1 + K_2\) 2. \(\frac{K_{1} K_{2}}{K_{1}-K_{2}}\)
3. \(\frac{K_{1}+K_{2}}{K_{1} K_{2}}\) 4. \(\frac{2 K_{1} K_{2}}{K_{1}+K_{2}}\)
Subtopic:  Dielectrics in Capacitors |
 69%
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The equivalent capacitance in the circuit between A and B will be 

(1) 1 μF

(2) 2 μF

(3) 3 μF

(4) 13μF

Subtopic:  Combination of Capacitors |
 80%
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The equivalent capacitance between A and B is 

(1) C4

(2) 3C4

(3) C3

(4) 4C3

Subtopic:  Combination of Capacitors |
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In the given figure the capacitors C1, C3, C4, C5 have a capacitance 4 μF each and if the capacitor C2 has a capacitance 10 μF, then effective capacitance between A and B will be 

(1) 2 μF

(2) 4 μF

(3) 6 μF

(4) 8 μF

Subtopic:  Combination of Capacitors |
 85%
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Two identical capacitors, have the same capacitance C. One of them is charged to potential V1 and the other to V2. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is 

(1) 14C(V12V22)

(2) 14C(V12+V22)

(3) 14C(V1V2)2

(4) 14C(V1+V2)2

Subtopic:  Energy stored in Capacitor |
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Three capacitors each of capacity 4 μF are to be connected in such a way that the effective capacitance is 6 μF. This can be done by 

(1) Connecting them in parallel

(2) Connecting two in series and one in parallel

(3) Connecting two in parallel and one in series

(4) Connecting all of them in series

Subtopic:  Combination of Capacitors |
 88%
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Three capacitors of capacitance 3 μF are connected in a circuit. Then their maximum and minimum capacitances will be

(1) 9 μF, 1 μF

(2) 8 μF, 2 μF

(3) 9 μF, 0 μF

(4) 3 μF, 2 μF

Subtopic:  Combination of Capacitors |
 91%
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