If a circuit has a total resistance of 12Ω and a total voltage of 24V, what is t

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Question: If a circuit has a total resistance of 12Ω and a total voltage of 24V, what is the power consumed by the circuit?

Options:

Correct Answer: 48 W

Solution:

Power P = V^2 / R = (24V)^2 / 12Ω = 48 W.

If a circuit has a total resistance of 12Ω and a total voltage of 24V, what is the power consumed by the circuit?

If a circuit has a total resistance of 12Ω and a total voltage of 24V, what is the power consumed by the circuit?

Step 1: Identify the total voltage (V) in the circuit, which is given as 24V.
Step 2: Identify the total resistance (R) in the circuit, which is given as 12Ω.
Step 3: Use the formula for power (P) in a circuit, which is P = V^2 / R.
Step 4: Substitute the values into the formula: P = (24V)^2 / 12Ω.
Step 5: Calculate (24V)^2, which equals 576V^2.
Step 6: Divide 576V^2 by 12Ω to find the power: 576V^2 / 12Ω = 48W.
Step 7: Conclude that the power consumed by the circuit is 48W.

Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in an electrical circuit, often used to derive power.
Power Calculation – The formula for calculating power in an electrical circuit, which can be expressed as P = V^2 / R or P = I^2 * R.