High School

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A circuit contains a 10. 0Ω, a 12. 0Ω, and a 6. 0Ω fesistor. If they are connected in parallel with a 12 V battery, calculate the current through the 10. 0Ω resistor.

Answer :

In this case, the current through the 10.0Ω resistor is equal to the current through the resistor since they are in parallel.

To calculate the current through the 10.0Ω resistor in a circuit containing 10.0Ω, 12.0Ω, and 6.0Ω resistors connected in parallel with a 12V battery, we can use Ohm's Law and the rules of parallel circuits:

1. In a parallel circuit, the voltage across each resistor is the same as the voltage of the battery.

2. The total current in a parallel circuit is the sum of the currents through each resistor.

Given data:

- Resistances: R1 = 10.0Ω, R2 = 12.0Ω, R3 = 6.0Ω

- Battery voltage: V = 12V

Calculate the equivalent resistance (Req) for the parallel circuit:

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

Calculate the current through each resistor using Ohm's Law:

- Current through the 10.0Ω resistor (I1): I1 = V / R1

- Current through the 12.0Ω resistor (I2): I2 = V / R2

- Current through the 6.0Ω resistor (I3): I3 = V / R3

Calculate the total current (Itotal) in the parallel circuit:

Itotal = I1 + I2 + I3

The current through the 10.0Ω resistor is equal to the current through the resistor since they are in parallel.

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