List of top Electrical Circuits and Machines Questions on Transient analysis of RLC circuits with ac excitation asked in GATE IN

In the circuit shown, the load is driven by a sinusoidal ac voltage source \( V_1 = 100 \angle 0^\circ \, \text{V} \) at 50 Hz. Given \( R_1 = 20 \, \Omega \), \( C_1 = \left(\frac{1000}{\pi}\right) \, \mu\text{F} \), \( L_1 = \left(\frac{20}{\pi}\right) \, \text{mH} \), and \( R_2 = 4 \, \Omega \), the power factor is _________ (round off to one decimal place)
Given Circuit A with currents \(I_1\) and \(I_2\) as shown, the current \(I_3\) in Circuit B (in amperes) is _________ (round off to one decimal place).