Question -
Answer -
Inductance of the inductor,┬аL┬а=0.50 H
Resistance of the resistor,┬аR┬а=100 ╬й
Potential of the supplyvoltage,┬аV┬а= 240 V
Frequency of the supply,┬а╬╜┬а=50 Hz
(a)┬аPeakvoltage is given as:
Angular frequency of the supply,
╧Й = 2 ╧А╬╜
= 2╧А ├Ч 50 = 100 ╧А rad/s
Maximum current in the circuit isgiven as:
(b)┬аEquationfor voltage is given as:
V┬а=┬аV0┬аcos┬а╧Йt
Equation for current is given as:
I┬а=┬аI0┬аcos(╧Йt┬атИТ┬а╬ж)
Where,
╬ж = Phase difference betweenvoltage and current
At time,┬аt┬а= 0.
V┬а=┬аV0(voltageis maximum)
For╧Йt┬атИТ┬а╬ж┬а=0 i.e., at time
I┬а=┬аI0┬а(currentis maximum)
Hence,the time lag between maximum voltage and maximum current is
Now, phase angle┬а╬жisgiven by the relation,
Hence, the time lag betweenmaximum voltage and maximum current is 3.2 ms.