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Using Ohm's Law (V=IR), calculate the current, resistance, and voltage for the following circuits:
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9 stepsHere are the solutions to the problems:
- Basic Current Calculation
Identify the given values.
Voltage $V = 9$ V Resistance $R = 3$ $\Omega$Use Ohm's Law to find the current .
$$ I = \frac{V}{R} $$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
Identify the given values.
Current $I = 0.5$ A Voltage $V = 120$ VUse Ohm's Law to find the resistance .
$$ R = \frac{V}{I} $$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
Identify the given values.
Resistance $R = 15$ $\Omega$ Current $I = 2$ AUse Ohm's Law to find the voltage .
$$ V = IR $$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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