The effective capacity of the network between terminals \(\mathrm{A}\) and \(\mathrm{B}\) is:

1. | \(6~\mu\text{F}~\) | 2. | \(20~\mu\text{F} ~\) |

3. | \(3~\mu\text{F}~\) | 4. | \(10~\mu\text{F}\) |

Subtopic: Â Combination of Capacitors |

Â 90%

From NCERT

AIPMT - 1999

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Three uncharged capacitors of capacities \(C_1, C_2~\text{and}~C_3\) are connected to one another as shown in the figure.

If points A, B, and D, are at potential \(V_1, V_2 ~\text{and}~V_3\) then the potential at O will be:

1. | \(\frac{V_1C_1+V_2C_2+V_3C_3}{C_1+C_2+C_3}\) | 2. | \(\frac{V_1+V_2+V_3}{C_1+C_2+C_3}\) |

3. | \(\frac{V_1(V_2+V_3)}{C_1(C_2+C_3)}\) | 4. | \(\frac{V_1V_2V_3}{C_1C_2C_3}\) |

Subtopic: Â Combination of Capacitors |

Â 90%

From NCERT

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Three capacitors of capacitances \(3~\mu\text{F}\), \(9~\mu\text{F}\) and \(18~\mu\text{F}\) are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases \(\frac{C_s}{C_p}\) will be:

1. \(1:15\)

2. \(15:1\)

3. \(1:1\)

4. \(1:3\)

Subtopic: Â Combination of Capacitors |

Â 87%

From NCERT

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Two capacitors of capacitance \(6~\mu\text{F}\) and \(3~\mu\text{F}\) are connected in series with battery of \(30~\text{V}\). The charge on \(3~\mu\text{F}\) capacitor at a steady state is:

1. \( 3 ~\mu\text{C}\)

2. \( 1.5 ~\mu\text{C}\)

3. \( 60~\mu\text{C}\)

4. \( 900~\mu\text{C}\)

Subtopic: Â Combination of Capacitors |

Â 86%

From NCERT

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The equivalent capacitance across \(A\) and \(B\) in the given figure is:

1. \( \frac{3}{2}\text{C}\)

2. \(\text{C}\)

3. \( \frac{2}{3}\text{C}\)

4. \( \frac{5}{3}\text{C}\)

Subtopic: Â Combination of Capacitors |

Â 79%

From NCERT

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The equivalent capacitance of the following arrangement is:

1. \(18~\mu \text{F}\)

2. \(9~\mu \text{F}\)

3. \(6~\mu \text{F}\)

4. \(12~\mu \text{F}\)

Subtopic: Â Combination of Capacitors |

Â 79%

From NCERT

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A capacitor of capacity \(C_1\) is charged up to \(V\) volt and then connected to an uncharged capacitor \(C_2\). Then final P.D. across each will be:

1. \(\frac{C_{2} V}{C_{1} + C_{2}}\)

2. \(\frac{C_{1} V}{C_{1} + C_{2}}\)

3. \(\left(1 + \frac{C_{2}}{C_{1}}\right)\)

4. \(\left(1 - \frac{C_{2}}{C_{1}} \right) V\)

Subtopic: Â Combination of Capacitors |

Â 79%

From NCERT

AIPMT - 2002

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Two capacitors of capacity \(2~\mu\text{F}\) and \(3~\mu\text{F}\) are charged to the same potential difference of \(6\) V. Now they are connected with opposite polarity as shown. After closing switches \(S_1~\text{and}~S_2\), their final potential difference becomes:

1. | \(\text{zero} \) | 2. | \(\frac{4}{3}~\text{V} \) |

3. | \(3~\text{V} \) | 4. | \(\frac{6}{5}~\text{V} \) |

Subtopic: Â Combination of Capacitors |

Â 63%

From NCERT

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