Two conductors are connected in parallel, they are energized by 2 V. The current in the first conductor is 0.4 A

| August 13, 2021 | education

Two conductors are connected in parallel, they are energized by 2 V. The current in the first conductor is 0.4 A, and in the second 0.1 A. Determine the total resistance

Given:

U = 2 Volts – voltage in the electrical circuit;

I1 = 0.4 Ampere – current in the first conductor;

I2 = 0.1 Ampere – current in the second conductor.

It is required to determine R (Ohm) – the total resistance of the conductors.

Since, according to the condition of the problem, the conductors are connected in parallel, the voltage across them will be equal to U1 = U2 = U = 2 Volts.

Then, the resistance of the first conductor is:

R1 = U / I1 = 2 / 0.4 = 5 ohms.

The resistance of the second conductor is:

R2 = U / I2 = 2 / 0.1 = 20 ohms.

The total resistance of the circuit is:

1 / R = 1 / R1 + 1 / R2;

R = R1 * R2 / (R1 + R2) = 5 * 20 / (5 + 20) = 100/25 = 4 ohms.

Answer: the total resistance of the conductors is 4 ohms.



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