COMBINATIONS OF CAPACITORS
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Electrostatic Potentials and Capacitance

272286 A series combination of \(n_1\) capacitors, each of capacity \(C_1\) is charged by source of potential difference 4 V . When another parallel combination of \(n_2\) capacitors each of capacity \(C_2\) is charged by a source of potential difference \(V\), it has the same total energy stored in it as the first combination has.
The value of \(C_2\) in terms of \(C_1\) is then

1 \(16 \frac{\pi_2}{\pi_1} C_1\)
2 \(\frac{2 C_L}{\pi_1 \pi_2}\)
3 \(2 \frac{n_2}{n_1} C_1\)
4 \(\frac{16 C_1}{n_1 n_2}\)
Electrostatic Potentials and Capacitance

272288 Four identical square plates of side \(a\) are arranged as shown. The equivalent capacity between \(A\) and \(C\)

1 \(\frac{3 \varepsilon_0 a^2}{2 d}\)
2 \(\frac{3 E_0 a^2}{5 d}\)
3 \(\frac{3 \varepsilon_0 a^2}{3 d}\)
4 \(\frac{5 \varepsilon_i a^2}{3 d}\).
Electrostatic Potentials and Capacitance

272279 The effective capacitance of combination of equal capacitors between points A and B shown in figure is

1 C
2 2 C
3 \(3 C\)
4 \(\frac{c}{2}\)
Electrostatic Potentials and Capacitance

272280 In the circuit given below, the charge in \(\mu \mathrm{C}\), on the capacitor having capacitance \(5 \mu \mathrm{~F}\) is

1 4.5
2 9
3 7
4 15
Electrostatic Potentials and Capacitance

272286 A series combination of \(n_1\) capacitors, each of capacity \(C_1\) is charged by source of potential difference 4 V . When another parallel combination of \(n_2\) capacitors each of capacity \(C_2\) is charged by a source of potential difference \(V\), it has the same total energy stored in it as the first combination has.
The value of \(C_2\) in terms of \(C_1\) is then

1 \(16 \frac{\pi_2}{\pi_1} C_1\)
2 \(\frac{2 C_L}{\pi_1 \pi_2}\)
3 \(2 \frac{n_2}{n_1} C_1\)
4 \(\frac{16 C_1}{n_1 n_2}\)
Electrostatic Potentials and Capacitance

272288 Four identical square plates of side \(a\) are arranged as shown. The equivalent capacity between \(A\) and \(C\)

1 \(\frac{3 \varepsilon_0 a^2}{2 d}\)
2 \(\frac{3 E_0 a^2}{5 d}\)
3 \(\frac{3 \varepsilon_0 a^2}{3 d}\)
4 \(\frac{5 \varepsilon_i a^2}{3 d}\).
Electrostatic Potentials and Capacitance

272279 The effective capacitance of combination of equal capacitors between points A and B shown in figure is

1 C
2 2 C
3 \(3 C\)
4 \(\frac{c}{2}\)
Electrostatic Potentials and Capacitance

272280 In the circuit given below, the charge in \(\mu \mathrm{C}\), on the capacitor having capacitance \(5 \mu \mathrm{~F}\) is

1 4.5
2 9
3 7
4 15
Electrostatic Potentials and Capacitance

272286 A series combination of \(n_1\) capacitors, each of capacity \(C_1\) is charged by source of potential difference 4 V . When another parallel combination of \(n_2\) capacitors each of capacity \(C_2\) is charged by a source of potential difference \(V\), it has the same total energy stored in it as the first combination has.
The value of \(C_2\) in terms of \(C_1\) is then

1 \(16 \frac{\pi_2}{\pi_1} C_1\)
2 \(\frac{2 C_L}{\pi_1 \pi_2}\)
3 \(2 \frac{n_2}{n_1} C_1\)
4 \(\frac{16 C_1}{n_1 n_2}\)
Electrostatic Potentials and Capacitance

272288 Four identical square plates of side \(a\) are arranged as shown. The equivalent capacity between \(A\) and \(C\)

1 \(\frac{3 \varepsilon_0 a^2}{2 d}\)
2 \(\frac{3 E_0 a^2}{5 d}\)
3 \(\frac{3 \varepsilon_0 a^2}{3 d}\)
4 \(\frac{5 \varepsilon_i a^2}{3 d}\).
Electrostatic Potentials and Capacitance

272279 The effective capacitance of combination of equal capacitors between points A and B shown in figure is

1 C
2 2 C
3 \(3 C\)
4 \(\frac{c}{2}\)
Electrostatic Potentials and Capacitance

272280 In the circuit given below, the charge in \(\mu \mathrm{C}\), on the capacitor having capacitance \(5 \mu \mathrm{~F}\) is

1 4.5
2 9
3 7
4 15
Electrostatic Potentials and Capacitance

272286 A series combination of \(n_1\) capacitors, each of capacity \(C_1\) is charged by source of potential difference 4 V . When another parallel combination of \(n_2\) capacitors each of capacity \(C_2\) is charged by a source of potential difference \(V\), it has the same total energy stored in it as the first combination has.
The value of \(C_2\) in terms of \(C_1\) is then

1 \(16 \frac{\pi_2}{\pi_1} C_1\)
2 \(\frac{2 C_L}{\pi_1 \pi_2}\)
3 \(2 \frac{n_2}{n_1} C_1\)
4 \(\frac{16 C_1}{n_1 n_2}\)
Electrostatic Potentials and Capacitance

272288 Four identical square plates of side \(a\) are arranged as shown. The equivalent capacity between \(A\) and \(C\)

1 \(\frac{3 \varepsilon_0 a^2}{2 d}\)
2 \(\frac{3 E_0 a^2}{5 d}\)
3 \(\frac{3 \varepsilon_0 a^2}{3 d}\)
4 \(\frac{5 \varepsilon_i a^2}{3 d}\).
Electrostatic Potentials and Capacitance

272279 The effective capacitance of combination of equal capacitors between points A and B shown in figure is

1 C
2 2 C
3 \(3 C\)
4 \(\frac{c}{2}\)
Electrostatic Potentials and Capacitance

272280 In the circuit given below, the charge in \(\mu \mathrm{C}\), on the capacitor having capacitance \(5 \mu \mathrm{~F}\) is

1 4.5
2 9
3 7
4 15