What is the total power consumed in a circuit with two 5Ω resistors in series co

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Question: What is the total power consumed in a circuit with two 5Ω resistors in series connected to a 30V battery? (2023)

Options:

Correct Answer: 60W

Solution:

Total resistance R = 5Ω + 5Ω = 10Ω; Power P = V²/R = 30²/10 = 90W.

What is the total power consumed in a circuit with two 5Ω resistors in series connected to a 30V battery? (2023)

What is the total power consumed in a circuit with two 5Ω resistors in series connected to a 30V battery? (2023)

Step 1: Identify the resistors in the circuit. We have two resistors, each with a resistance of 5Ω.
Step 2: Calculate the total resistance in the circuit. Since the resistors are in series, add their resistances: 5Ω + 5Ω = 10Ω.
Step 3: Identify the voltage of the battery. The battery provides a voltage of 30V.
Step 4: Use the power formula to calculate the total power consumed in the circuit. The formula is P = V²/R.
Step 5: Substitute the values into the formula: P = 30² / 10.
Step 6: Calculate 30², which is 900.
Step 7: Divide 900 by 10 to find the power: 900 / 10 = 90W.

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