| 1 | What is the shape of the equipotential surfaces for a uniform electric field? |
| 2 | Two thin wire rings, each having a radius R, are placed at a distance d apart with their axis coinciding. The charges on the two rings are +q and -q. What is the potential difference between the centre of two rings? |
| 3 | Two charged conductors - A and B, are kept close to each other. If the charge on conductor A is increased, the potential on conductor B will? |
| 4 | Find the force between the plates of a parallel-plate capacitor with capacitance C, separation d, and potential V. |
| 5 | A small conducting sphere of radius r carrying a positive charge q is placed concentrically inside a large hollow conducting shell of radius R (R > r). This outer shell has charge Q on it. Show that if these spheres are connected by a conducting wire, the charge will always flow from the inner sphere to the outer sphere, irrespective of the magnitude of the two charges. |
| 6 | A positively charged particle is released from rest in a uniform electric field. What is the electric potential energy of the charge? |
| 7 | When the separation between two charges is increased, what happens to the electric potential energy of the charges? |
| 8 | An electric dipole of dipole moment p is kept in a uniform electric field E. What will be the amount of work done to rotate it from the position of stable equilibrium to that of unstable equilibrium? |
| 9 | A parallel plate capacitor (A) of capacitance C is charged by a battery to voltage V. The battery is disconnected and an uncharged capacitor (B) of capacitance 2C is connected across A. Find the ratio of: - final charges on A and B.
- total electrostatic energy stored in A and B finally and that stored in A initially.
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| 10 | Derive an expression for the electric potential at any point along the axial line of an electric dipole. |
| 11 | An electric dipole consisting of charges +q and -q separated by a distance L is in stable equilibrium in a uniform electric field E. what is the electrostatic potential energy of the dipole? |
| 12 | The electric potential on the axis of an electric dipole at a distance 'r' from its centre is V. Then what will be the potential at a point at the same distance on its equatorial line? |
| 13 | Four charges -q, -q, +q and +q are placed at the corners of a square of side 2L. What is the electric potential at point A midway between the two charges +q and +q? |
| 14 | Which of the following is not the property of an equipotential surface? - They do not cross each other True
- The work done in carrying a charge from one point to another on an equipotential surface is zero.
- For a uniform electric field, they are concentric spheres
- They can be imaginary spheres
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| 15 | An electric dipole of length 2 cm is placed at an angle of 30° with an electric field 2 × 105 N/C. If the dipole experiences a torque of 8 × 10-3 Nm, the magnitude of either charge of the dipole is (Evaluate). |
| 16 | A capacitor of unknown capacitance is connected across a battery of V volt. A charge of 360 C is stored in it. When the potential across the capacitor is reduced by 120 V, the charge stored in the capacitor becomes 120 C. Calculate V and the unknown capacitance. What would have been the charge on the capacitor if the voltage were increased by 120 V? |
| 17 | An electric dipole moment 2 × 10-8 Cm in a uniform electric field experiences a maximum torque of 6 × 10-4 Nm. What is the magnitude of the electric field? |
| 18 | Which of the following materials can be used to make a Faraday cage? - Plastic
- Glass
- Copper
- Wood
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| 19 | Example of a real-world Faraday cage is: - car
- plastic box
- lighting rod
- metal rod
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| 20 | What is the electrical force inside a Faraday cage when it is struck by lightning? - The same as the lighting
- Half that of the lighting
- Zero
- A quarter of the lighting
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| 21 | Three capacitors, each of 4 uF are to be connected in such a way that the effective capacitance of the combination of 6 uF. This can be achieved by connecting - All three in parallel
- All three in the series
- Two of them connected in series, and the combination in parallel to the third
- Two of them connected in parallel, and the combination in series to the third
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| 22 | At what rate does the electric field change between the plates of a square capacitor of side 5 cm if the plates are spaced 1.2 mm apart and the voltage across them is changing at a rate of 60 V/s? |
| 23 | A +3.0 nC charge Q is initially at rest at a distance of r, = 10 cm from a + 5.0 nC charge q fixed at the origin. The charge Q is moved away from q to a new position at r2 = 15 cm. In this process of work done by the field? |
| 24 | A capacitor of unknown capacitance is connected across a battery of V volts. The charge stored in it is 360 C. When the potential across the capacitor is reduced by 120 V, the charge stored in it becomes 120 C. Calculate: (i)The potential V and the unknown capacitance C. (ii) What would be the charge stored in the capacitor, if the voltage applied had increased by 120 V? |
| 25 | The magnitude of the electric field (in NC-1) in a region varies with the distance r (in m) as E = 10r + 5. By how much does the electric potential increase in moving from point at r = 1 m to a point at r = 10 m. |
| 26 | Derive the expression for the electric potential due to an electric dipole at a point on its axial line. |
| 27 | Depict the equipotential surfaces due to an electric dipole. |
| 28 | Derive the expression for the capacitance of a parallel plate capacitor having plate area A and plate separation d. |
| 29 | Two charged spherical conductors of radii Ry and Re when connected by a conducting plate respectively. Find the ratio of their surface charge densities in terms of their radii. |
| 30 | Draw the equipotential surfaces corresponding to a uniform electric field in the z-direction. |
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