A superconductor and a 12-ohm resistor are placed in parallel and connected to a 15-ohm resistor in series. A 5-ampere circuit passes through the circuit. What is the voltage across the circuit in volts?
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For two resistors placed in parallel, the total resistance is R p t = R 1 + R 2 R 1 R 2 (here p t is simply the total resistance of the parallel part of the circuit). A superconductor by definition has zero resistance, so R p t = 0 in the parallel part. Taking the parallel part as a "resistor" with zero resistance, the 15-ohm resistor connected in series is the only one contributing to the resistance of the circuit. Thus, R t o t a l = 1 5 ohms . A 5-ampere current is passed through the circuit. Therefore, through V = I R , substituting I for 5 amperes and R for 15 ohms, V is then 75 volts.