This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Step 1: Analyze the circuit and identify the given information. The circuit consists of a 50V voltage source connected to two parallel branches. • The top branch contains two resistors in series. • The bottom branch contains an resistor and an unknown resistor in series. The problem states that the power dissipated in the resistor is .
Step 2: Determine the current through the top branch using the power dissipation. Let be the current flowing through the top branch. Since the two resistors are in series, the same current flows through both of them
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Analyze the circuit and identify the given information. The circuit consists of a 50V voltage source connected to two parallel branches.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.