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1
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What is the shape of the equipotential surfaces for a uniform electric field?
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2
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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?
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3
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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?
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4
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Find the force between the plates of a parallel-plate capacitor with capacitance C, separation d, and potential V.
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5
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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.
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6
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A positively charged particle is released from rest in a uniform electric field. What is the electric potential energy of the charge?
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7
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When the separation between two charges is increased, what happens to the electric potential energy of the charges?
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8
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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?
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9
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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
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Derive an expression for the electric potential at any point along the axial line of an electric dipole.
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11
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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?
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12
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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?
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13
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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?
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14
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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
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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).
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16
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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?
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17
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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?
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18
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Which of the following materials can be used to make a Faraday cage?
- Plastic
- Glass
- Copper
- Wood
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19
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Example of a real-world Faraday cage is:
- car
- plastic box
- lighting rod
- metal rod
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20
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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
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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
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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?
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23
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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?
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24
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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?
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25
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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.
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26
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Derive the expression for the electric potential due to an electric dipole at a point on its axial line.
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27
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Depict the equipotential surfaces due to an electric dipole.
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28
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Derive the expression for the capacitance of a parallel plate capacitor having plate area A and plate separation d.
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29
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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.
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30
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Draw the equipotential surfaces corresponding to a uniform electric field in the z-direction.
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