Determine the resistance of the circuit section if R1 = 4 ohms, R2 = 5 ohms, R3 = 16 ohms

Determine the resistance of the circuit section if R1 = 4 ohms, R2 = 5 ohms, R3 = 16 ohms, R4 = 5 ohms, R5 = 10 ohms.

Given:

R1 = 4 Ohm – the value of the first resistance;

R2 = 5 Ohm – the value of the second resistance;

R3 = 16 Ohm – the value of the third resistance;

R4 = 5 Ohm – the value of the fourth resistance;

R5 = 10 Ohm – the value of the fifth resistance.

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

Since the problem statement is not specified, the problem will be solved for two cases: with series connection of resistances and with parallel connection.

With a serial connection:

Rtot = R1 + R2 + R3 + R4 + R5 = 4 + 5 + 16 + 5 + 10 = 40 Ohm.

With parallel connection:

1 / Rtot = 1 / R1 + 1 / R2 + 1 / R3 + 1 / R4 + 1 / R5 =

= 1/4 + 1/5 + 1/16 + 1/5 + 1/10 = (20 + 16 + 5 + 16 + 8) / 80 =

= 65/80, hence:

Rtotal = 80/65 = 1.2 Ohm.

Answer: the total resistance of the circuit will be 40 ohms when connected in series, and 1.2 ohms when connected in parallel.