In the figure, three capacitors each of capacitance 6 pF are connected in series. The total capacitance of the combination will be
(1) 9 × 10–12 F
(2) 6 × 10–12 F
(3) 3 × 10–12 F
(4) 2 × 10–12 F
Equivalent capacitance between A and B is
(1) 8 μF
(2) 6 μF
(3) 26 μF
(4) 10/3 μF
In the figure a capacitor is filled with dielectrics. The resultant capacitance is
(1)
(2)
(3)
(4) None of these
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
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. \(\frac{16}{3}\times 10^{-6}~\text{J}\)
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. | \(\frac{2 K_{1} K_{2}}{K_{1}+K_{2}}\) |
The equivalent capacitance in the circuit between A and B will be
(1) 1 μF
(2) 2 μF
(3) 3 μF
(4)
The equivalent capacitance between A and B is
(1)
(2)
(3)
(4)
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
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)
(2)
(3)
(4)