Question

# Two identical resistors (R) are connected in parallel and then wired in series to a 50...

Two identical resistors (R) are connected in parallel and then wired in series to a 50 Ω resistor. If the total equivalent resistance is 71 Ω, what is the value of R?

Resistance of the identical resistors = R

Resistance of the resistor connected in series with the identical resistors = R1 = 50

Equivalent resistance of the circuit = Req = 71

Equivalent resistance of the identical resistors in parallel connection = R2

R2 = 0.5R

Now R1 and R2 are in series connection to form the equivalent resistance.

Req = R1 + R2

71 = 50 + 0.5R

R = 42

Value of R = 42

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