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In a parallel circuit with a 12 V battery and three 6 ohm resistors, what is the total current in the entire circuit?

Answer :

In a parallel circuit with a 12V battery and three 6-ohm resistors, the total current in the entire circuit is 4A.

In a parallel circuit, the total current is divided among the branches according to the resistance of each branch. In this case, the three 6-ohm resistors are connected in parallel. When resistors are connected in parallel, their equivalent resistance can be calculated using the formula:

1/Req = 1/R1 + 1/R2 + 1/R3

Where R1, R2, and R3 are the resistances of the individual resistors. Substituting the given values, we have:

1/Req = 1/6 + 1/6 + 1/6

1/Req = 3/6

1/Req = 1/2

Taking the reciprocal of both sides, we get:

Req = 2 ohms

The equivalent resistance of the three resistors in parallel is 2 ohms. Now, we can use Ohm's Law (V = I * R) to calculate the total current (I) in the circuit. Given that the voltage (V) is 12V and the equivalent resistance (Req) is 2 ohms:

I = V / Req

I = 12V / 2Ω

I = 6A

Therefore, the total current in the entire circuit is 6A. However, since the three resistors are connected in parallel, the total current is divided equally among them. So, each resistor will carry one-third of the total current, resulting in 2A of current flowing through each resistor.

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