In the circuit diagram given below, three resistors, R1, R2 and R3 of 5 Ω, 10 Ω and 30 Ω respectively are connected as shown.


Calculate :


(a) current through each resistor.


(b) total current in the circuit.


(c) total resistance in the circuit.

(a) Let I1, I2 and I3 be the current flowing through the resistors of 5 ohm, 100 ohm and 30 ohm, respectively.

According to ohm's law V=IR


Here V= 12 V and R = 5 ohm


I = V/R


Current through R1 = V/R1 = 12/5 = 2.4 A


Current through R2 = V/R2 = 12/10 = 1.2 A


Current through R3 = V/R2 = 12/30 = 0.4 A


(b) Total current in the circuit =Current through R1 +Current through R2 +Current through R3


= 2.4 + 1.2 + 0.4 = 4 A


(c) Total resistance in the circuit = R




R= 3 ohm


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