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?
Express your answer using two significant figures.
Resistance of the identical resistors = R
Resistance of the resistor connected in series with the identical resistors = R_{1} = 50
Equivalent resistance of the circuit = R_{eq} = 71
Equivalent resistance of the identical resistors in parallel connection = R_{2}
R_{2} = 0.5R
Now R_{1} and R_{2} are in series connection to form the equivalent resistance.
R_{eq} = R_{1} + R_{2}
71 = 50 + 0.5R
R = 42
Value of R = 42
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