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Identify the given values from the circuit diagram.

Physics

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Answer

C) 4.5 Ohms\text{C) 4.5 Ohms}

Step-by-step solution

4 steps

To find the value of R, we use Ohm's Law, which relates voltage (V), current (I), and resistance (R).

  1. Identify the given values from the circuit diagram.

    We are given:
    Voltage, V=9 VV = 9\, \text{V}
    Current, I=2 AI = 2\, \text{A}

  2. Recall Ohm's Law.

    Ohm's Law states that V=I×RV = I \times R.

  3. Rearrange the formula to solve for R.

    R=VIR = \frac{V}{I}
  4. Substitute the given values into the formula and calculate R.

    R=9 V2 AR = \frac{9\, \text{V}}{2\, \text{A}} R=4.5 ΩR = 4.5\, \Omega

    The calculated resistance is 4.5 Ohms4.5\, \text{Ohms}. Comparing this with the given options, option C is the correct answer.

    The final answer is C) 4.5 Ohms\text{C) 4.5 Ohms}.

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