CAPACITANCE
« Previous Topic: ENERGY STORED IN A CONDENSER AND TYPES OF CAPACITORS Next Topic: CAPACITORSIN SERIES AND IN PARALLEL »
For More Updates join with Us
Electrostatic Potentials and Capacitance

268169 A capacitor is made of a flat plate of area\(A\) and second plate having a stair-like structure as shown in figure. The width of each plate is ' \(a\) ' and the height is ' \(b\) '. The capacitance of the capacitor is

1 \(\frac{2 A \in_{0}}{3(d+b)}\)
2 \(\frac{A \in_{0}\left(3 d^{2}+6 b d+2 b^{2}\right)}{3 d(b+d)(d+2 b)}\)
3 \(\frac{A \in_{0}\left(d^{2}+2 b d+b^{2}\right)}{3 d(d+b)(d+2 b)}\)
4 \(\frac{2 A \in_{0}\left(d^{2}+2 b d+b^{2}\right)}{3 d(d+b)(d+2 b)}\)
Electrostatic Potentials and Capacitance

268170 A parallel plate capacitor of capacitance Cis connected to a battery and is charged to a potential differenceV. A nother capacitor of capacitance \(2 \mathrm{C}\) is similarly charged to a potential difference \(2 \mathrm{~V}\). The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

1 zero
2 \(\frac{3}{2} C V^{2}\)
3 \(\frac{35}{6} C V^{2}\)
4 \(\frac{9}{2} C V^{2}\)
Electrostatic Potentials and Capacitance

268171 Two identical capacitors, have the same capacitance\(C\). One of them is charged to potential \(V_{1}\) and the other to \(V_{2}\). T he negative ends are also connected, the decrease in energy of the combined system is

1 \(1 / 4 C\left(V_{1}^{2}-V_{2}^{2}\right)\)
2 \(1 / 4 C\left(V_{1}^{2}+V_{2}^{2}\right)\)
3 \(1 / 4 C\left(V_{1}-V_{2}\right)^{2}\)
4 \(1 / 4 C\left(V_{1}+V_{2}\right)^{2}\)
Electrostatic Potentials and Capacitance

268173 Find the capacitance of a system of two identical metal balls of radius \(a\) if the distance between their centres is equal to \(b\), with \(b>>\). The system is located in a uniform dielectric with permittivity \(\mathrm{K}\).

1 \(\pi \in_{0} K a\)
2 \(4 \pi \in_{0} K a\)
3 \(2 \pi \in_{0} K a\)
4 \(2 / 3 \pi \in_{0} K a\)
NEET DIGITAL LIBRARY
Electrostatic Potentials and Capacitance

268169 A capacitor is made of a flat plate of area\(A\) and second plate having a stair-like structure as shown in figure. The width of each plate is ' \(a\) ' and the height is ' \(b\) '. The capacitance of the capacitor is

1 \(\frac{2 A \in_{0}}{3(d+b)}\)
2 \(\frac{A \in_{0}\left(3 d^{2}+6 b d+2 b^{2}\right)}{3 d(b+d)(d+2 b)}\)
3 \(\frac{A \in_{0}\left(d^{2}+2 b d+b^{2}\right)}{3 d(d+b)(d+2 b)}\)
4 \(\frac{2 A \in_{0}\left(d^{2}+2 b d+b^{2}\right)}{3 d(d+b)(d+2 b)}\)
Electrostatic Potentials and Capacitance

268170 A parallel plate capacitor of capacitance Cis connected to a battery and is charged to a potential differenceV. A nother capacitor of capacitance \(2 \mathrm{C}\) is similarly charged to a potential difference \(2 \mathrm{~V}\). The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

1 zero
2 \(\frac{3}{2} C V^{2}\)
3 \(\frac{35}{6} C V^{2}\)
4 \(\frac{9}{2} C V^{2}\)
Electrostatic Potentials and Capacitance

268171 Two identical capacitors, have the same capacitance\(C\). One of them is charged to potential \(V_{1}\) and the other to \(V_{2}\). T he negative ends are also connected, the decrease in energy of the combined system is

1 \(1 / 4 C\left(V_{1}^{2}-V_{2}^{2}\right)\)
2 \(1 / 4 C\left(V_{1}^{2}+V_{2}^{2}\right)\)
3 \(1 / 4 C\left(V_{1}-V_{2}\right)^{2}\)
4 \(1 / 4 C\left(V_{1}+V_{2}\right)^{2}\)
Electrostatic Potentials and Capacitance

268173 Find the capacitance of a system of two identical metal balls of radius \(a\) if the distance between their centres is equal to \(b\), with \(b>>\). The system is located in a uniform dielectric with permittivity \(\mathrm{K}\).

1 \(\pi \in_{0} K a\)
2 \(4 \pi \in_{0} K a\)
3 \(2 \pi \in_{0} K a\)
4 \(2 / 3 \pi \in_{0} K a\)
Join With Us for More Updates
Electrostatic Potentials and Capacitance

268169 A capacitor is made of a flat plate of area\(A\) and second plate having a stair-like structure as shown in figure. The width of each plate is ' \(a\) ' and the height is ' \(b\) '. The capacitance of the capacitor is

1 \(\frac{2 A \in_{0}}{3(d+b)}\)
2 \(\frac{A \in_{0}\left(3 d^{2}+6 b d+2 b^{2}\right)}{3 d(b+d)(d+2 b)}\)
3 \(\frac{A \in_{0}\left(d^{2}+2 b d+b^{2}\right)}{3 d(d+b)(d+2 b)}\)
4 \(\frac{2 A \in_{0}\left(d^{2}+2 b d+b^{2}\right)}{3 d(d+b)(d+2 b)}\)
Electrostatic Potentials and Capacitance

268170 A parallel plate capacitor of capacitance Cis connected to a battery and is charged to a potential differenceV. A nother capacitor of capacitance \(2 \mathrm{C}\) is similarly charged to a potential difference \(2 \mathrm{~V}\). The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

1 zero
2 \(\frac{3}{2} C V^{2}\)
3 \(\frac{35}{6} C V^{2}\)
4 \(\frac{9}{2} C V^{2}\)
Electrostatic Potentials and Capacitance

268171 Two identical capacitors, have the same capacitance\(C\). One of them is charged to potential \(V_{1}\) and the other to \(V_{2}\). T he negative ends are also connected, the decrease in energy of the combined system is

1 \(1 / 4 C\left(V_{1}^{2}-V_{2}^{2}\right)\)
2 \(1 / 4 C\left(V_{1}^{2}+V_{2}^{2}\right)\)
3 \(1 / 4 C\left(V_{1}-V_{2}\right)^{2}\)
4 \(1 / 4 C\left(V_{1}+V_{2}\right)^{2}\)
Electrostatic Potentials and Capacitance

268173 Find the capacitance of a system of two identical metal balls of radius \(a\) if the distance between their centres is equal to \(b\), with \(b>>\). The system is located in a uniform dielectric with permittivity \(\mathrm{K}\).

1 \(\pi \in_{0} K a\)
2 \(4 \pi \in_{0} K a\)
3 \(2 \pi \in_{0} K a\)
4 \(2 / 3 \pi \in_{0} K a\)
For More Updates join with Us
Electrostatic Potentials and Capacitance

268169 A capacitor is made of a flat plate of area\(A\) and second plate having a stair-like structure as shown in figure. The width of each plate is ' \(a\) ' and the height is ' \(b\) '. The capacitance of the capacitor is

1 \(\frac{2 A \in_{0}}{3(d+b)}\)
2 \(\frac{A \in_{0}\left(3 d^{2}+6 b d+2 b^{2}\right)}{3 d(b+d)(d+2 b)}\)
3 \(\frac{A \in_{0}\left(d^{2}+2 b d+b^{2}\right)}{3 d(d+b)(d+2 b)}\)
4 \(\frac{2 A \in_{0}\left(d^{2}+2 b d+b^{2}\right)}{3 d(d+b)(d+2 b)}\)
Electrostatic Potentials and Capacitance

268170 A parallel plate capacitor of capacitance Cis connected to a battery and is charged to a potential differenceV. A nother capacitor of capacitance \(2 \mathrm{C}\) is similarly charged to a potential difference \(2 \mathrm{~V}\). The charging battery is now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

1 zero
2 \(\frac{3}{2} C V^{2}\)
3 \(\frac{35}{6} C V^{2}\)
4 \(\frac{9}{2} C V^{2}\)
Electrostatic Potentials and Capacitance

268171 Two identical capacitors, have the same capacitance\(C\). One of them is charged to potential \(V_{1}\) and the other to \(V_{2}\). T he negative ends are also connected, the decrease in energy of the combined system is

1 \(1 / 4 C\left(V_{1}^{2}-V_{2}^{2}\right)\)
2 \(1 / 4 C\left(V_{1}^{2}+V_{2}^{2}\right)\)
3 \(1 / 4 C\left(V_{1}-V_{2}\right)^{2}\)
4 \(1 / 4 C\left(V_{1}+V_{2}\right)^{2}\)
Electrostatic Potentials and Capacitance

268173 Find the capacitance of a system of two identical metal balls of radius \(a\) if the distance between their centres is equal to \(b\), with \(b>>\). The system is located in a uniform dielectric with permittivity \(\mathrm{K}\).

1 \(\pi \in_{0} K a\)
2 \(4 \pi \in_{0} K a\)
3 \(2 \pi \in_{0} K a\)
4 \(2 / 3 \pi \in_{0} K a\)