Three capacitors each of capacity 4 μF are to be connected in such a way that the effective capacitance is 6 μF. This can be done by
1. Connecting them in parallel
2. Connecting two in series and one in parallel
3. Connecting two in parallel and one in series
4. Connecting all of them in series
| 1. | \(60~ \mu\text C\) | 2. | \(130 ~\mu\text C\) |
| 3. | \(260~ \mu \text C\) | 4. | \(585 ~\mu \text C\) |
| 1. | \(0.9~\mu\text{F}\) | 2. | \(0.09~\mu\text{F}\) |
| 3. | \(0.1~\mu\text{F}\) | 4. | \(0.01~\mu\text{F}\) |
| 1. | \(9~{\mu \text{F}}\) | 2. | \(2~{\mu \text{F}}\) |
| 3. | \(3~{\mu \text{F}}\) | 4. | \(6~{\mu \text{F}}\) |
Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacitances, \(\left ( \dfrac{C_{Series}}{C_{Parallel}} \right )\) in these two cases will be:
1. \(4:1\)
2. \(2:1\)
3. \(1:4\)
4. \(1:2\)
| (A) | No charge will flow between \(C\) and \(D.\) |
| (B) | Some charge will flow between \(C\) and \(D.\) |
| (C) | The equivalent capacitance between \(C\) and \(D\) will not change. |
| (D) | The equivalent capacitance between \(C\) and \(D\) will change. |
| 1. | (A), (B) and (C) only |
| 2. | (A) and (C) only |
| 3. | (B) and (D) only |
| 4. | (B), (C) and (D) only |