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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Answer
C) 4.5 Ohms
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To find the value of R, we use Ohm's Law, which relates voltage (V), current (I), and resistance (R).
Step 1: Identify the given values from the circuit diagram. We are given: Voltage, Current,
Step 2: Recall Ohm's Law. Ohm's Law states that .
Step 3: Rearrange the formula to solve for R.
Step 4: Substitute the given values into the formula and calculate R.
The calculated resistance is . Comparing this with the given options, option C is the correct answer.
The final answer is .
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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.