A coil of inductance 0.50 H and resistance is connected to a 240 V-50 Hz a.c. supply. What are the maximum current in the coil and the time lag between voltage maximum and current maximum?
The maximum (peak) current in an L-R circuit is given by
In L-R circuit, the current lags behind the voltage by a phase angle , where
Putting the value of and R, we have
The time tag is given by
An a.c. generator consists of a coil of 50 turns and area 2.5 m2 rotating at an angular speed of 60 rad s–1 in a uniform magnetic field of 0.30 T. The resistance of the circuit including that of the coil is 500 . Find the maximum current drawn from the generator.
In a dynamo, a coil of area 0.2 m2 and having 100 turns rotates in a magnetic field of 0.1 Wb m–2 with an angular velocity of 100 rad s–1. The output terminals are connected through a resistance of . Calculate the torque , as a function of time t, required to keep the coil rotating.
The electric main in a house is marked 220V-50Hz. Write down the equation for instantaneous voltage.
A sinusoidal voltage V = 200 sin 314t is applied to a resistor. Find the frequency of the supply.
In an a.c. circuit the peak voltage of supply is 300 V. What is rms voltage? What is mean voltage during a positive half-cycle and for a complete cycle?
A resistor is connected to 220 V-50 Hz a.c. supply. Find rms value of current in the circuit and the net power consumed for a complete cycle.
A 220 V-50 Hz a.c. supply is applied to a 44-mH inductor. What is rmscurrent in the circuit? What is the net power absorbed over a complete cycle?
A 110 V-60 Hz a.c. supply is applied to a capacitor. What is rms current in the circuit? What is the net power absorbed over a complete cycle?
An alternating voltage E = 200 sin 300t is applied across a series combination of and L = 800 mH. Calculate the impedance of the circuit.
An emf E = 100 sin 314t volt is applied across a pure capacitor of 637 . Find the instantaneous current i.