The resistance of each resistor is 1 ohm, there are 3 resistors in total. Find resistance.

Given:

R1 = R2 = R3 = 1 Ohm – the resistance of three resistors is 3 Ohm.

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

Since it is not indicated in the condition of the problem, we will find the total resistance of the electrical circuit for two cases: with a serial connection and with a parallel one.

With a serial connection:

R = R1 + R2 + R3 = 1 + 1 + 1 = 3 ohms.

With parallel connection:

1 / R = 1 / R1 + 1 / R2 + 1 / R3;

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

1 / R = 1 + 1 + 1;

1 / R = 3;

R = 1/3 = 0.3 ohm.

Answer: with a serial connection, R = 3 ohms, with a parallel connection – 0.3 ohms.