CAPACITANCE
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Electrostatic Potentials and Capacitance

268146 Three uncharged capacitors of capacities\(\mathrm{C}_{1}, \mathrm{C}_{2}\) and \(\mathrm{C}_{3}\) are connected as shown in the figure to one another and the point. \(\mathrm{A}, \mathrm{B}\) and \(C\) are at potentials \(V_{1}, V_{2}\) and \(V_{3}\) respectively. Then the potential at 0 will be

1 \(\frac{V_1 C_1+V_2 C_2+V_3 C_3}{C_1+C_2+C_3}\)
2 \(\frac{V_1+V_2+V_3}{C_1+C_2+C_3}\)
3 \(\frac{V_1\left(V_2+V_3\right)}{C_1\left(C_2+C_3\right)}\)
4 \(\frac{V_1 V_2 V_3}{C_1 C_2 C_3}\)
Electrostatic Potentials and Capacitance

268147 In the given figure thecapacitor of platearea A is charged upto charge q. The ratio of elongations (neglect force of gravity) in springs \(C\) and \(D\) at equilibrium position is

1 \(\frac{k_1}{k_2}\)
2 \(\frac{k_2}{k_1}\)
3 \(k_1 k_2\)
4 \(\sqrt{\frac{k_1}{k_2}}\)
Electrostatic Potentials and Capacitance

268148 If metal section of shape \(\mathrm{H}\) is inserted in between two parallel plates as shown in figure and \(A\) is the area of each plate then the equivalent capacitance is

1 \(\frac{A \in_{0}}{a}-\frac{A \in_{0}}{b}\)
2 \(\frac{A \in_{0}}{a+b}\)
3 \(\frac{A \in_{0}}{a}+\frac{A \in_{0}}{b}\)
4 \(\frac{A \in_{0}}{a-b}\)
Electrostatic Potentials and Capacitance

268150 A solid conducting sphere of radius\(10 \mathrm{~cm}\) is enclosed by a thin metallic shell of radius \(20 \mathrm{~cm}\). A charge \(\mathrm{q}=20 \mu \mathrm{C}\) is given to theinner sphere. The heat generated in the process is

1 \(12 \mathrm{~J}\)
2 \(9 \mathrm{~J}\)
3 \(24 \mathrm{~J}\)
4 zero
Electrostatic Potentials and Capacitance

268151 A condenser of capacity\(500 \mu \mathrm{F}\) is charged at the rate of \(400 \mu \mathrm{C}\) per second. The time required to raise its potential by \(40 \mathrm{~V}\) is

1 \(50 \mathrm{~s}\)
2 \(100 \mathrm{~s}\)
3 \(20 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)
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Electrostatic Potentials and Capacitance

268146 Three uncharged capacitors of capacities\(\mathrm{C}_{1}, \mathrm{C}_{2}\) and \(\mathrm{C}_{3}\) are connected as shown in the figure to one another and the point. \(\mathrm{A}, \mathrm{B}\) and \(C\) are at potentials \(V_{1}, V_{2}\) and \(V_{3}\) respectively. Then the potential at 0 will be

1 \(\frac{V_1 C_1+V_2 C_2+V_3 C_3}{C_1+C_2+C_3}\)
2 \(\frac{V_1+V_2+V_3}{C_1+C_2+C_3}\)
3 \(\frac{V_1\left(V_2+V_3\right)}{C_1\left(C_2+C_3\right)}\)
4 \(\frac{V_1 V_2 V_3}{C_1 C_2 C_3}\)
Electrostatic Potentials and Capacitance

268147 In the given figure thecapacitor of platearea A is charged upto charge q. The ratio of elongations (neglect force of gravity) in springs \(C\) and \(D\) at equilibrium position is

1 \(\frac{k_1}{k_2}\)
2 \(\frac{k_2}{k_1}\)
3 \(k_1 k_2\)
4 \(\sqrt{\frac{k_1}{k_2}}\)
Electrostatic Potentials and Capacitance

268148 If metal section of shape \(\mathrm{H}\) is inserted in between two parallel plates as shown in figure and \(A\) is the area of each plate then the equivalent capacitance is

1 \(\frac{A \in_{0}}{a}-\frac{A \in_{0}}{b}\)
2 \(\frac{A \in_{0}}{a+b}\)
3 \(\frac{A \in_{0}}{a}+\frac{A \in_{0}}{b}\)
4 \(\frac{A \in_{0}}{a-b}\)
Electrostatic Potentials and Capacitance

268150 A solid conducting sphere of radius\(10 \mathrm{~cm}\) is enclosed by a thin metallic shell of radius \(20 \mathrm{~cm}\). A charge \(\mathrm{q}=20 \mu \mathrm{C}\) is given to theinner sphere. The heat generated in the process is

1 \(12 \mathrm{~J}\)
2 \(9 \mathrm{~J}\)
3 \(24 \mathrm{~J}\)
4 zero
Electrostatic Potentials and Capacitance

268151 A condenser of capacity\(500 \mu \mathrm{F}\) is charged at the rate of \(400 \mu \mathrm{C}\) per second. The time required to raise its potential by \(40 \mathrm{~V}\) is

1 \(50 \mathrm{~s}\)
2 \(100 \mathrm{~s}\)
3 \(20 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)
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Electrostatic Potentials and Capacitance

268146 Three uncharged capacitors of capacities\(\mathrm{C}_{1}, \mathrm{C}_{2}\) and \(\mathrm{C}_{3}\) are connected as shown in the figure to one another and the point. \(\mathrm{A}, \mathrm{B}\) and \(C\) are at potentials \(V_{1}, V_{2}\) and \(V_{3}\) respectively. Then the potential at 0 will be

1 \(\frac{V_1 C_1+V_2 C_2+V_3 C_3}{C_1+C_2+C_3}\)
2 \(\frac{V_1+V_2+V_3}{C_1+C_2+C_3}\)
3 \(\frac{V_1\left(V_2+V_3\right)}{C_1\left(C_2+C_3\right)}\)
4 \(\frac{V_1 V_2 V_3}{C_1 C_2 C_3}\)
Electrostatic Potentials and Capacitance

268147 In the given figure thecapacitor of platearea A is charged upto charge q. The ratio of elongations (neglect force of gravity) in springs \(C\) and \(D\) at equilibrium position is

1 \(\frac{k_1}{k_2}\)
2 \(\frac{k_2}{k_1}\)
3 \(k_1 k_2\)
4 \(\sqrt{\frac{k_1}{k_2}}\)
Electrostatic Potentials and Capacitance

268148 If metal section of shape \(\mathrm{H}\) is inserted in between two parallel plates as shown in figure and \(A\) is the area of each plate then the equivalent capacitance is

1 \(\frac{A \in_{0}}{a}-\frac{A \in_{0}}{b}\)
2 \(\frac{A \in_{0}}{a+b}\)
3 \(\frac{A \in_{0}}{a}+\frac{A \in_{0}}{b}\)
4 \(\frac{A \in_{0}}{a-b}\)
Electrostatic Potentials and Capacitance

268150 A solid conducting sphere of radius\(10 \mathrm{~cm}\) is enclosed by a thin metallic shell of radius \(20 \mathrm{~cm}\). A charge \(\mathrm{q}=20 \mu \mathrm{C}\) is given to theinner sphere. The heat generated in the process is

1 \(12 \mathrm{~J}\)
2 \(9 \mathrm{~J}\)
3 \(24 \mathrm{~J}\)
4 zero
Electrostatic Potentials and Capacitance

268151 A condenser of capacity\(500 \mu \mathrm{F}\) is charged at the rate of \(400 \mu \mathrm{C}\) per second. The time required to raise its potential by \(40 \mathrm{~V}\) is

1 \(50 \mathrm{~s}\)
2 \(100 \mathrm{~s}\)
3 \(20 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)
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Electrostatic Potentials and Capacitance

268146 Three uncharged capacitors of capacities\(\mathrm{C}_{1}, \mathrm{C}_{2}\) and \(\mathrm{C}_{3}\) are connected as shown in the figure to one another and the point. \(\mathrm{A}, \mathrm{B}\) and \(C\) are at potentials \(V_{1}, V_{2}\) and \(V_{3}\) respectively. Then the potential at 0 will be

1 \(\frac{V_1 C_1+V_2 C_2+V_3 C_3}{C_1+C_2+C_3}\)
2 \(\frac{V_1+V_2+V_3}{C_1+C_2+C_3}\)
3 \(\frac{V_1\left(V_2+V_3\right)}{C_1\left(C_2+C_3\right)}\)
4 \(\frac{V_1 V_2 V_3}{C_1 C_2 C_3}\)
Electrostatic Potentials and Capacitance

268147 In the given figure thecapacitor of platearea A is charged upto charge q. The ratio of elongations (neglect force of gravity) in springs \(C\) and \(D\) at equilibrium position is

1 \(\frac{k_1}{k_2}\)
2 \(\frac{k_2}{k_1}\)
3 \(k_1 k_2\)
4 \(\sqrt{\frac{k_1}{k_2}}\)
Electrostatic Potentials and Capacitance

268148 If metal section of shape \(\mathrm{H}\) is inserted in between two parallel plates as shown in figure and \(A\) is the area of each plate then the equivalent capacitance is

1 \(\frac{A \in_{0}}{a}-\frac{A \in_{0}}{b}\)
2 \(\frac{A \in_{0}}{a+b}\)
3 \(\frac{A \in_{0}}{a}+\frac{A \in_{0}}{b}\)
4 \(\frac{A \in_{0}}{a-b}\)
Electrostatic Potentials and Capacitance

268150 A solid conducting sphere of radius\(10 \mathrm{~cm}\) is enclosed by a thin metallic shell of radius \(20 \mathrm{~cm}\). A charge \(\mathrm{q}=20 \mu \mathrm{C}\) is given to theinner sphere. The heat generated in the process is

1 \(12 \mathrm{~J}\)
2 \(9 \mathrm{~J}\)
3 \(24 \mathrm{~J}\)
4 zero
Electrostatic Potentials and Capacitance

268151 A condenser of capacity\(500 \mu \mathrm{F}\) is charged at the rate of \(400 \mu \mathrm{C}\) per second. The time required to raise its potential by \(40 \mathrm{~V}\) is

1 \(50 \mathrm{~s}\)
2 \(100 \mathrm{~s}\)
3 \(20 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)
NEET DIGITAL LIBRARY
Electrostatic Potentials and Capacitance

268146 Three uncharged capacitors of capacities\(\mathrm{C}_{1}, \mathrm{C}_{2}\) and \(\mathrm{C}_{3}\) are connected as shown in the figure to one another and the point. \(\mathrm{A}, \mathrm{B}\) and \(C\) are at potentials \(V_{1}, V_{2}\) and \(V_{3}\) respectively. Then the potential at 0 will be

1 \(\frac{V_1 C_1+V_2 C_2+V_3 C_3}{C_1+C_2+C_3}\)
2 \(\frac{V_1+V_2+V_3}{C_1+C_2+C_3}\)
3 \(\frac{V_1\left(V_2+V_3\right)}{C_1\left(C_2+C_3\right)}\)
4 \(\frac{V_1 V_2 V_3}{C_1 C_2 C_3}\)
Electrostatic Potentials and Capacitance

268147 In the given figure thecapacitor of platearea A is charged upto charge q. The ratio of elongations (neglect force of gravity) in springs \(C\) and \(D\) at equilibrium position is

1 \(\frac{k_1}{k_2}\)
2 \(\frac{k_2}{k_1}\)
3 \(k_1 k_2\)
4 \(\sqrt{\frac{k_1}{k_2}}\)
Electrostatic Potentials and Capacitance

268148 If metal section of shape \(\mathrm{H}\) is inserted in between two parallel plates as shown in figure and \(A\) is the area of each plate then the equivalent capacitance is

1 \(\frac{A \in_{0}}{a}-\frac{A \in_{0}}{b}\)
2 \(\frac{A \in_{0}}{a+b}\)
3 \(\frac{A \in_{0}}{a}+\frac{A \in_{0}}{b}\)
4 \(\frac{A \in_{0}}{a-b}\)
Electrostatic Potentials and Capacitance

268150 A solid conducting sphere of radius\(10 \mathrm{~cm}\) is enclosed by a thin metallic shell of radius \(20 \mathrm{~cm}\). A charge \(\mathrm{q}=20 \mu \mathrm{C}\) is given to theinner sphere. The heat generated in the process is

1 \(12 \mathrm{~J}\)
2 \(9 \mathrm{~J}\)
3 \(24 \mathrm{~J}\)
4 zero
Electrostatic Potentials and Capacitance

268151 A condenser of capacity\(500 \mu \mathrm{F}\) is charged at the rate of \(400 \mu \mathrm{C}\) per second. The time required to raise its potential by \(40 \mathrm{~V}\) is

1 \(50 \mathrm{~s}\)
2 \(100 \mathrm{~s}\)
3 \(20 \mathrm{~s}\)
4 \(10 \mathrm{~s}\)