If the voltage across a resistor is doubled, what happens to the power consumed

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Question: If the voltage across a resistor is doubled, what happens to the power consumed by the resistor? (2020)

Options:

Correct Answer: It quadruples

Exam Year: 2020

Solution:

Power (P) is given by P = V^2 / R. If V is doubled, P becomes (2V)^2 / R = 4V^2 / R, which is quadrupled.

If the voltage across a resistor is doubled, what happens to the power consumed by the resistor? (2020)

If the voltage across a resistor is doubled, what happens to the power consumed by the resistor? (2020)

Step 1: Understand the formula for power (P) in a resistor, which is P = V^2 / R.
Step 2: Identify what happens when the voltage (V) is doubled. If V is doubled, it becomes 2V.
Step 3: Substitute 2V into the power formula: P = (2V)^2 / R.
Step 4: Calculate (2V)^2, which equals 4V^2.
Step 5: Now the power formula looks like this: P = 4V^2 / R.
Step 6: Compare the new power (4V^2 / R) to the original power (V^2 / R).
Step 7: Notice that the new power is 4 times the original power, meaning it is quadrupled.

Power in Electrical Circuits – Understanding the relationship between voltage, resistance, and power consumption in resistors.
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