in the circuit diagram , suppose the resistors R1, R2, and R3 hav a value 5ohm,10ohm and 30 ohm , which have been connected to a battery of 12 v. calculate the current throufh each resistor , the total current in the circuit and the total circuit resistance ?
Answers
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The answers are 2.4 A, 1.2 A, and 0.4 A respectively. The total current is 4 A and the total circuit resistance is 3 ohms.
Given:
R1 = 5
R2 = 10
R3 = 30
A battery of 12 V
To Find:
Calculate the current through each resistor, the total current in the circuit and the total circuit resistance
Solution:
As the resistors are in parallel, all the resistors have a voltage of 12 V across them. Hence by using Ohm's law
we can get current through each resistor.
Current through R1 is
Current through R2 is
Current through R3 is
Hence the total current in the circuit will be the addition of all the currents, which is
The total circuit resistance can again be given by Ohm's law,
Hence the current through each resistor is 2.4 A, 1.2 A, and 0.4 A respectively. The total current is 4 A and the total circuit resistance is 3 ohms.
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