Question

A circuit containing Resistance, Inductance and capacitance of 20 ohm, 10mH, 300µF are connected in series respectively ,across a supply voltage of v=100sin100Πt. Find out the expression of current

Answer 1

The expression for current is

$$i=\frac vz,\\\space\\ z=\sqrt{(R^2+(X_L-X_C)^2)},\\\space\\ X_L=\omega L,X_C=1/(\omega C).\\\space\\ i=\frac{100\sin(100\pi t)}{\sqrt{20^2+(0.01\cdot100\pi-1/(0.0003\cdot100π))^2}}.\\\space\\ i(t)=4.68\sin(100πt).$$