c
Current through resistor, \(i\)

\(=\) Current in the circuit

\(=\frac{V_{0}}{\sqrt{R^{2}+X_{C}^{2}}}=\frac{V_{0}}{\sqrt{R^{2}+(1 / \omega C)^{2}}}\)

Voltage across capacitor, \(V=i X_{C}\)

\(=\frac{V_{0}}{\sqrt{R^{2}+(1 / \omega C)^{2}}} \times \frac{1}{\omega C}=\frac{V_{0}}{\sqrt{R^{2} \omega^{2} C^{2}+1}}\)

As \({C_a} < {C_b}\)

\(\therefore \,\,{i_a} < {i_b}\) and \({V_a} < {V_b}\)