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Q. No.Find the distance from a point charge of magnitude \(5 \times 10^{-9} C\) where the electric potential is 50 V
1. \(90 ~cm\)
2. \(70 ~cm\)
3. \(60 ~cm\)
4. \(50 ~cm\)
Subtopic: Electric Potential |
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In the given circuit diagram, the total charge stored in capacitors is \(50~\mu \text{C}.\) The value of capacitor \(x \) is:
| 1. | \(3\) | 2. | \(0\) |
| 3. | \(2\) | 4. | \(1\) |
Subtopic: Capacitance |
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What will be the equivalent capacitance across points \(A\) and \(B\) in the given electrical circuit?
| 1. | \(C \over 2\) | 2. | \(2C\) |
| 3. | \(5C \over 3\) | 4. | \(3C \over 4\) |
Subtopic: Combination of Capacitors |
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Three concentric shells \(A, B \) and \(C\) having surface charge density \(\sigma , -\sigma \) and \(\sigma\) respectively. The radii of \(A \) and \(B\) are 2 cm and 3 cm respectively. Electric potential at surface \(A\) is \(V_A\) and at \(C\) is \(V_C\). If \(V_A = V_C\) then find the radius of \(C\) in cm
1. 5 cm
2. 7 cm
3. 6 cm
4. 6.5 cm
1. 5 cm
2. 7 cm
3. 6 cm
4. 6.5 cm
Subtopic: Electric Potential |
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Pick the correct graph between potential \(V\) at distance \(r\) from centre for the uniformly charged spherical shell of radius \(R.\)
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Electric Potential |
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A metallic slab of thickness \({2d \over 3}\) and area of surface same as that of plates of capacitor of capacitance \(C_1\) is inserted parallel to plates of capacitor such that its new capacitance becomes equal to \(C_2\). If \(d\) is space width between the two plates, then \({C_2 \over C_1}\) is equal to:
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
Subtopic: Capacitance |
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Potential at the surface of a uniformly charged nonconducting sphere is V. Then the potential at its centre is:
1. 0
2. \({{V}\over{2}}\)
3. 2V
4. \({{3V}\over{2}}\)
1. 0
2. \({{V}\over{2}}\)
3. 2V
4. \({{3V}\over{2}}\)
Subtopic: Electric Potential |
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A \(2 ~\mu \text{F}\) capacitor is initially charged to a potential \(V,\) storing an energy \(E_1.\) The capacitor is then disconnected from the battery and connected in parallel with an identical uncharged capacitor. After the redistribution of charge, the new energy stored in the system is \(E_2.\) What is the ratio \(\dfrac{E_1}{E_2}?\)
1. \(2\)
2. \(4\)
3. \(5\)
4. \(6\)
Subtopic: Energy stored in Capacitor |
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\(64\) identical balls made of conducting material with a potential of \(10\) mV are joined to form a bigger ball. The potential of the bigger ball is:
1. \(150\) mV
2. \(160\) mV
3. \(120\) mV
4. \(100\) mV
1. \(150\) mV
2. \(160\) mV
3. \(120\) mV
4. \(100\) mV
Subtopic: Electric Potential |
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Subtopic: Energy stored in Capacitor |
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