In an electric circuit, if the voltage is doubled while the resistance remains c

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Question: In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?

Options:

Correct Answer: It quadruples

Solution:

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

In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?

In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?

Step 1: Understand the formula for power in an electric circuit, which is P = V^2 / R.
Step 2: Identify that V represents voltage and R represents resistance.
Step 3: Note that if the voltage (V) is doubled, it becomes 2V.
Step 4: Substitute 2V into the power formula: P = (2V)^2 / R.
Step 5: Calculate (2V)^2, which equals 4V^2.
Step 6: Now the power formula looks like this: P = 4V^2 / R.
Step 7: Compare the new power (4V^2 / R) to the original power (V^2 / R).
Step 8: Notice that the new power is 4 times the original power, meaning it is quadrupled.

Power in Electric Circuits – Understanding the relationship between voltage, resistance, and power using the formula P = V^2/R.
Ohm's Law – Recognizing how voltage, current, and resistance interact in a circuit.