Q. No.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. \(1\)
1. \(3\)
2. \(0\)
3. \(2\)
4. \(1\)
Subtopic: Capacitance |
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A parallel plate capacitor with air as a medium between the plates has a capacitance of \(10~\mu \text{F}.\) The area of the capacitor is divided into two equal halves and filled with two media having dielectric constants \(k_1=2\) and \(k_2=4.\) The capacitance of the new system will be:
1. \(10~\mu \text{F}\)
2. \(20~\mu \text{F}\)
3. \(30~\mu \text{F}\)
4. \(40~\mu \text{F}\)
1. \(10~\mu \text{F}\)
2. \(20~\mu \text{F}\)
3. \(30~\mu \text{F}\)
4. \(40~\mu \text{F}\)
Subtopic: Capacitance |
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Initially, uncharged capacitors are connected in a circuit, as shown in the diagram. The potentials at \(C,\) \(D\) satisfy: \(V_C=V_D.\) Then:
| 1. | \(C_1C_2 = C_3C_4\) | 2. | \(\dfrac{C_1}{C_4}=\dfrac{C_2}{C_3}\) |
| 3. | \(\dfrac{C_1}{C_3}=\dfrac{C_2}{C_4}\) | 4. | \(C_1C_3 = C_2C_4\)
|
Subtopic: Capacitance |
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In the given circuit, what will be the charge on the \(12~\mu\text{F}\) capacitor?
| 1. | \(144~\mu \text{C}\) | 2. | \(72~\mu \text{C}\) |
| 3. | \(36~\mu \text{C}\) | 4. | \(28~\mu \text{C}\) |
Subtopic: Capacitance |
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Two parallel-plate capacitors, each having air between their plates, have plate areas \(100~\text {cm}^2\) and \(500~\text {cm}^2,\) respectively. Both capacitors carry the same charge and are at the same potential. If the distance between the plates of the first capacitor is \(0.5 ~\text {mm},\) what is the distance between the plates of the second capacitor?
| 1. | \(0.10 \text { cm}\) | 2. | \(0.15 \text { cm} \) |
| 3. | \(0.20 \text { cm}\) | 4. | \(0.25 \text { cm}\) |
Subtopic: Capacitance |
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A capacitor \(C_1\) of capacitance \(5~\mu\text{F}\) is charged to a potential of \(30~\text{V}\) using a battery. The battery is then removed and the charged capacitor is connected to an uncharged capacitor \(C_2\) of capacitance \(10~\mu\text{F}\) as shown in the figure. When the switch is closed charge flows between the capacitors. At equilibrium, the charge on the capacitors \(C_2\) is:
1. \(100~\mu\text{C}\)
2. \(50~\mu\text{C}\)
3. \(125~\mu\text{C}\)
4. \(75~\mu\text{C}\)
1. \(100~\mu\text{C}\)
2. \(50~\mu\text{C}\)
3. \(125~\mu\text{C}\)
4. \(75~\mu\text{C}\)
Subtopic: Capacitance |
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Given below are two statements:
| Assertion (A): | The plates of a parallel-plate capacitor attract each other when it is charged. |
| Reason (R): | The plates carry opposite charges and hence they attract by Coulomb's law. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Capacitance |
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The distance between the two plates of a parallel plate capacitor is doubled, and the area of each plate is halved. If \(C\) is its initial capacitance, its final capacitance is equal to:
| 1. | \(2C\) | 2. | \(\dfrac{C}{2}\) |
| 3. | \(4C\) | 4. | \(\dfrac{C}{4}\) |
Subtopic: Capacitance |
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NEET - 2022
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In the given circuit, the charge on \(4~\mu \text{F}\) capacitor will be:
1. \(5.4~\mu \text{C}\)
2. \(9.6~\mu \text{C}\)
3. \(13.4~\mu \text{C}\)
4. \(24~\mu \text{C}\)
Subtopic: Capacitance |
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Consider a parallel plate capacitor of plate area '\(A\)', plate separation '\(d\)'. Suppose that the plates are given charges \(+Q,-Q\) respectively. The force between the two plates is proportional to:
| 1. | \(\dfrac{Q^2}{d^2}\) | 2. | \(\dfrac{Q^2}{A}\) |
| 3. | \(\dfrac{Q^2}{d\sqrt A}\) | 4. | \(\dfrac{Q^2\sqrt A}{d^3}\) |
Subtopic: Capacitance |
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