Question

Find $C_{eq}$ of the following (Equivalent capacitance between).

Answer 1

C_{eq}^{(i)} = \frac{3C}{4}, C_{eq}^{(ii)} = \frac{5C}{19}, C_{eq}^{(iii)} = \frac{6C}{13}, C_{eq}^{(iv)} = \frac{584C}{385}

Answer 2

For each circuit, the equivalent capacitance between points A and B is calculated by identifying series and parallel combinations of capacitors and applying the respective formulas. For circuit (i), the parallel combination of C and 2C is in series with C. For circuit (ii), which is a Wheatstone bridge, delta-wye transformation is used to simplify the circuit and calculate the equivalent capacitance. For circuit (iii), the circuit is simplified by combining parallel capacitors and then combining the resulting series capacitors. For circuit (iv), the circuit consists of three parallel branches, each containing capacitors in series. The equivalent capacitance of each branch is calculated, and then the equivalent capacitance of the parallel combination of the three branches is found by summing their capacitances.