1. | connecting all of them in a series |
2. | connecting all of them in parallel |
3. | connecting two in series and one in parallel |
4. | connecting two in parallel and one in series |
Figure shows charge (\(q\)) versus voltage (\(V\)) graph for series and parallel combination of two given capacitors. The capacitance are:
1. \(50~ \mu \text{F} \text { and } 30 ~\mu \text{F}\)
2. \(40~ \mu \text{F} \text { and } 10 ~\mu \text{F}\)
3. \(20~ \mu \text{F} \text { and } 30 ~\mu \text{F}\)
4. \(60~ \mu \text{F} \text { and } 40 ~\mu \text{F}\)
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. \(1:2\)
Consider the combination of 2 capacitors \(\mathrm{C}_1\) and \(\mathrm{C}_2\), with \(\mathrm{C}_2>\mathrm{C}_1 \), when connected in parallel, the equivalent capacitance is \(\frac{15}{4}\)times the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors,\(\frac{\mathrm{C}_2}{\mathrm{C}_1}\).
1. \(\frac{15}{11}\)
2. \(\frac{111}{80}\)
3. \(\frac{29}{15}\)
4. None of the above
1. | \(60~ \mu\text C\) | 2. | \(130 ~\mu\text C\) |
3. | \(260~ \mu \text C\) | 4. | \(585 ~\mu \text C\) |