1. | 2. | ||
3. | 4. |
In the circuit shown in the figure initially, key \(K_1\) is closed and key \(K_2\) is open. Then \(K_1\) is opened and \(K_2\) is closed (order is important).
(Take \(Q_1\) and \(Q_2\) as charges on \(C_1\) and \(C_2\) and \(V_1\) and \(V_2\) as voltage respectively.)
Then,
(a) | charge on \(C_1\) gets redistributed such that \(V_1 =V_2\) |
(b) | charge on \(C_1\) gets redistributed such that \(Q'_1= Q'_2\) |
(c) | charge on \(C_1\) gets redistributed such that \(C_1V_1+C_2V_2= C_1E\) |
(d) | charge on \(C_1\) gets redistributed such that \(Q'_1+Q'_2=Q\) |
Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (b), (d)
4. (a), (b), (c), (d)
If a conductor has a potential \(V\neq 0\) and there are no charges anywhere else outside, then:
(a) | there must be charges on the surface or inside itself |
(b) | there cannot be any charge in the body of the conductor |
(c) | there must be charges only on the surface |
(d) | there must be charges inside the surface |
Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (a), (b)
4. (a), (b), (c), (d)
A: | Key \(K\) is kept closed and plates of capacitors are moved apart using insulating handle. |
B: | Key \(K\) is opened and plates of capacitors are moved apart using the insulating handle. |
Choose the correct option(s).
1. | In A: \(Q\) remains same but \(C\) changes. |
2. | \(V\) remains same but \(C\) changes. | In B:
3. | In A: \(V\) remains same and hence \(Q\) changes. |
4. | In B: \(Q\) remains same and hence \(V\) changes. |
Which of the following statements is correct regarding the electrostatics of conductors?
1. | The interior of the conductor with no cavity can have no excess charge in the static situation. |
2. | The electrostatic potential is constant throughout the volume of the conductor. |
3. | The electrostatic potential has the same value inside as that on its surface. |
4. | All of these. |
A positive charge \(q\) and a negative charge \(-q\) are placed at \(x=-a\) and \(x=+a\) respectively. The variation of \(V\) along \(x\text-\)axis is represented by the graph:
1. | 2. | ||
3. | 4. |
If \(E\) and \(V\) are electric field and electric potential respectively due to a point charge, then which of the following graph best represents their variation?
1. | 2. | ||
3. | 4. |
Equipotential surfaces:
1. are closer in regions of large electric fields compared to regions of lower electric fields.
2. will be more crowded near the sharp edges of a conductor.
3. will always be equally spaced.
4. both (1) and (2) are correct.
(I) | The charge on the plates |
(II) | The potential difference between the plates |
(III) | The energy stored in the capacitor |
1. | (I) only | 2. | (I), (II) |
3. | (I), (III) | 4. | (I), (II), (III) |
(I) | The charge on the plates increases. |
(II) | The energy stored in the capacitor increases. |
(III) | Work is done by the battery as the slab is inserted. |
1. | I, II are true | 2. | I and III are true |
3. | only I is true | 4. | I, II, and III are true |