Question 15.1: The peak voltage of an ac supply is 300 V. What is the rms voltage?

Question 15.2: The rms value of current in an ac circuit is 10 A. What is the peak current?

Question 15.3: The ac voltage across a 0.5 µF capacitor is 16sin(2×10^3t) V. Find (a) the capacitive reactance (b) the peak value of current through the capacitor.

Question 15.4: The voltage across a 0.01 µF capacitor is 240 sin (1.25×10^4t-30˚)V. Write the mathematical expression for the current through it.

Question 15.5: An inductor with an inductance of 100µH passes a current of 10mA when its terminal voltage is 6.3 V. Calculate the frequency of A.C supply.

Question 15.6: (a) Calculate the inductive reactance of a 3.00 mH inductor, when 60.0 Hz and 10.0 kHz AC voltages are applied. (b) What is the rms current at each frequency if the applied rms voltage is 120 V?

Question 15.7: For the same RLC series circuit having a 40.0 Ω resistor, a 3.00 mH inductor, and a 5.00 µF capacitor: (a) Find the resonant frequency. (b) Calculate at resonance if is 120 V.

Question 15.8: A coil of pure inductance 318 mH is connected in series with a pure resistance of 75. The voltage across resistor is 150V and the frequency of power supply is 50 Hz. Calculate the voltage of power supply and the phase angle.

Question 15.9: A resistor of resistance 30 Ω is connected in series with a capacitor of capacitance 79.5 µF across a power supply of 50 Hz and 100V. Find (a) impedance (b) current (c) phase angle and (d) equation for the instantaneous value of current.

Question 15.10: A coil having a resistance of 7Ω and an inductance of 31.8 mH is connected to 230V, 50 Hz supply. Calculate (a) the circuit current (b) phase angle (c) power factor (d) power consumed.