A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series circuit in which , , and . Find (a) the impedance of the circuit; (b) the phase difference between the voltage across the source and the current; (c) the power dissipated in the circuit; and (d) the power factor.
5 Ω
-53.1° (current lags voltage)
4800 W
0.6
Explanation
This is Example 7.8 from NCERT Physics Class 12, Chapter 7 (Alternating Current). The problem tests understanding of impedance, phase difference, power dissipation, and power factor in a series LCR circuit. The solution requires calculating inductive and capacitive reactances first, then using them to find impedance and phase angle. The negative phase angle indicates that the circuit is inductive overall (X_L > X_C), causing current to lag voltage.