Question

Three identical resistors have an equivalent resistance 15.6 ohm when they are connected in series. What is the resistance for each resistor

Answer 1

5.2 Ω.

Step-by-step explanation:

What is the resistance for each resistor

Since the resistors are connected in series and each have resistance R, and their equivalent resistance is R' = 15.6 Ω.

Since they are connected in series, R' = R₁ + R₂ + R₃

Since R₁ = R₂ = R₃ = R

R' = R + R + R = 3R

R' = 3R

R = R'/3

R = 15.6 Ω/3

R = 5.2 Ω

So, the resistance of each resistor is 5.2 Ω.