00:01
Hello students in this question a circuit is given to us where the resistor and the inductor are connected in parallel to an ac supply of voltage 120 volts and frequency 60 hertz.
00:14
The resistance of the register is given as 50 om whereas the inductance of the inductor is given as 0 .2 henry.
00:22
Let's consider that the current flowing through the circuit is i and the current through the inductor is il whereas through the resistor is ir.
00:33
Since it is a parallel circuit, so the voltage will be the same in both the equipment.
00:39
So i can write the current square will be equal to the current through the resistor, whole square added with the current through the inductor whole square.
00:53
Now, we have to calculate the current through the resistor as well as the current through the inductor.
00:59
So according to the oms law, i can write, according to home's law, i can write the current through the resistor will be equal to the voltage divide by the resistance.
01:17
And it will be equal to the voltage will be same for both the equipment, that is 120 divided by 50, that is the resistance given to us.
01:28
And it will be equal to 2 decimal 4 ampere.
01:32
Now moving on to the inductor, i can write the current through the inductor will be, that is, il, will be equal to voltage divided by the inductive reactance of the circuit, and it will be equal to the voltage divided by angular frequency multiplied by the inductance, which will further equal to voltage divided by 2 pi, multiplied by the frequency in the hertz, multiplied by inductance.
02:02
From here, i can write the current through the inductor will be equal to voltage divided by 2 pi f multiplied by l, that will be equal to 120 divided by 2 pi multiplied by 60, multiplied by 0 decimal 2.
02:22
From here, i can write the current through the inductor will be equal to 5 divided by pi and this will be equal to 1 decimal 59 ampere.
02:36
Since we have calculated the current through the resistor as well as the current through the inductor, we can calculate the current through the circuit and it will be equal to i, that is the current through the circuit will be equal to under root 1.
02:53
Decimal 59 whole square added with 2 .4 whole square and it will be equal to 2 .877 ampere...