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In an electric circuit, if the voltage is doubled while the resistance remains c
In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?
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Practice Questions
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Q1
In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?
It remains the same
It doubles
It quadruples
It halves
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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.
Questions & Step-by-step Solutions
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Q
Q: In an electric circuit, if the voltage is doubled while the resistance remains constant, what happens to the power?
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.
Steps: 8
Show Steps
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.
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