In the circuit shown, R1 = 4 Ω, R2 = R3 = 15 Ω, R4 = 30 Ω and E = 10 V. Calculate the equivalent resistance of the circuit and the current in each resistor.
Given, R1 = 4 Ω, R2 = R3 = 15 Ω, R4 = 30 Ω and E = 10 V
Here, R2 , R3 and R4 are connected parallel to each other.
Therefore, equivalent resistance is given by,
Now, R1 is in series with R. So, equivalent resistance is given by,
Current I1 is given by, ... (1)
This current is divided at A into three parts I2, I3, I4 . ... (2)
Also,
Now, putting the values of and
in (2), we get
Thus, I1 = 1A, I2 = I3 = 0.4 A and I4 = 0.2 A.