When four identical resistors were connected in parallel, it turned out that their

When four identical resistors were connected in parallel, it turned out that their resistance was 200 ohms. What is the resistance of each resistor?

Given:

R1 = R2 = R3 = R4 = R – four identical resistors;

Rtotal = 200 Ohm – the total resistance of the resistors.

It is required to determine the resistance of each resistor R.

Since, according to the condition of the problem, the resistors were connected in parallel, then:

1 / Rtotal = 1 / R1 + 1 / R2 + 1 / R3 + 1 / R4;

1 / Rtotal = 1 / R + 1 / R + 1 / R + 1 / R;

1 / Rtotal = (1 + 1 + 1 + 1) / R;

1 / Rtotal = 4 / R;

R = 4 * Rtotal = 4 * 200 = 800 ohms.

Answer: The resistance of each resistor is 800 ohms.