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Using Ohm's Law (V=IR), calculate the current, resistance, and voltage for the following circuits:

Physics

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Step-by-step solution

9 steps

Here are the solutions to the problems:

  1. Basic Current Calculation
  1. Identify the given values.

    Voltage $V = 9$ V  
    Resistance $R = 3$ $\Omega$
    
  2. Use Ohm's Law to find the current II.

    $$
    I = \frac{V}{R}
    $$
    
  3. Substitute the values and calculate.

    $$
    I = \frac{9 \text{ V}}{3 \text{ } \Omega}
    $$
    $$
    I = 3 \text{ A}
    $$
    The current flowing through the circuit is $\boxed{\text{3 A}}$.
    

    2. Resistance Determination

  4. Identify the given values.

    Current $I = 0.5$ A  
    Voltage $V = 120$ V
    
  5. Use Ohm's Law to find the resistance RR.

    $$
    R = \frac{V}{I}
    $$
    
  6. Substitute the values and calculate.

    $$
    R = \frac{120 \text{ V}}{0.5 \text{ A}}
    $$
    $$
    R = 240 \text{ } \Omega
    $$
    The resistance of the bulb is $\boxed{\text{240 } \Omega}$.
    

    3. Voltage Calculation

  7. Identify the given values.

    Resistance $R = 15$ $\Omega$  
    Current $I = 2$ A
    
  8. Use Ohm's Law to find the voltage VV.

    $$
    V = IR
    $$
    
  9. Substitute the values and calculate.

    $$
    V = (2 \text{ A})(15 \text{ } \Omega)
    $$
    $$
    V = 30 \text{ V}
    $$
    The voltage across the resistor is $\boxed{\text{30 V}}$.
    
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