An ideal transformer has 460 and 40,000 turns in the primary and secondary coils respectively. Find the voltage developed per turn of the secondary if the transformer is connected to a 230 V AC mains. The secondary is given to a load of resistance 10⁴ Ω. Calculate the power delivered to the load.

Write down the equation for a sinusoidal voltage of 50 Hz and its peak value is 20 V. Draw the corresponding voltage versus time graph.

The equation for an alternating current is given by i = 77 sin 314t. Find the peak current, frequency, time period and instantaneous value of current at t = 2 ms.

A capacitor of capacitance \(\\ \frac { { 10 }^{ 2 } }{ \pi } \mu F\\ \) is connected across a 220 V, 50 Hz A.C. mains. Calculate the capacitive reactance, RMS value of current and write down the equations of voltage and current.

A series RLC circuit which resonates at 400 kHz has 80 μH inductors, 2000 pF capacitor and 50 Ω resistor. Calculate
(i) Q-factor of the circuit
(ii) the new value of capacitance when the value of inductance is doubled and
(iii) the new Q-factor.