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If a battery provides a voltage of 9 V and is connected to a circuit with a tota
If a battery provides a voltage of 9 V and is connected to a circuit with a total resistance of 3 ohms, what is the power consumed by the circuit?
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Practice Questions
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Q1
If a battery provides a voltage of 9 V and is connected to a circuit with a total resistance of 3 ohms, what is the power consumed by the circuit?
27 W
18 W
9 W
3 W
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Power P = V^2 / R. Here, P = 9^2 / 3 = 81 / 3 = 27 W.
Questions & Step-by-step Solutions
1 item
Q
Q: If a battery provides a voltage of 9 V and is connected to a circuit with a total resistance of 3 ohms, what is the power consumed by the circuit?
Solution:
Power P = V^2 / R. Here, P = 9^2 / 3 = 81 / 3 = 27 W.
Steps: 7
Show Steps
Step 1: Identify the voltage provided by the battery, which is 9 volts (V).
Step 2: Identify the total resistance in the circuit, which is 3 ohms (R).
Step 3: Use the formula for power, which is P = V^2 / R.
Step 4: Substitute the values into the formula: P = 9^2 / 3.
Step 5: Calculate 9^2, which is 81.
Step 6: Divide 81 by 3 to find the power: 81 / 3 = 27.
Step 7: Conclude that the power consumed by the circuit is 27 watts (W).
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