Alternating Current

When an inductor '\(L\)' and a resistor '\(R\)' in series are connected across a \(15 \mathrm{~V}, 50 \mathrm{~Hz}\) a.c. supply, a current of \(0.3 \mathrm{~A}\) flows in the circuit. The current differs in phase from applied voltage by \(\left(\frac{\pi}{3}\right)^c\). The value of '\(R\)' is \(\left(\sin \frac{\pi}{6}=\cos \frac{\pi}{3}=\frac{1}{2}, \sin \frac{\pi}{3}=\cos \frac{\pi}{6}=\frac{\sqrt{3}}{2}\right)\)