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If the current in a circuit is halved, what happens to the power consumed by the
If the current in a circuit is halved, what happens to the power consumed by the circuit?
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Practice Questions
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Q1
If the current in a circuit is halved, what happens to the power consumed by the circuit?
It doubles
It halves
It remains the same
It quadruples
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Power P = I^2 * R. If I is halved, P becomes (1/2)^2 * R = 1/4 * P, so the power is reduced to a quarter, which means it halves.
Questions & Step-by-step Solutions
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Q
Q: If the current in a circuit is halved, what happens to the power consumed by the circuit?
Solution:
Power P = I^2 * R. If I is halved, P becomes (1/2)^2 * R = 1/4 * P, so the power is reduced to a quarter, which means it halves.
Steps: 7
Show Steps
Step 1: Understand that power (P) in a circuit can be calculated using the formula P = I^2 * R, where I is the current and R is the resistance.
Step 2: If the current (I) is halved, it means we change I to I/2.
Step 3: Substitute I/2 into the power formula: P = (I/2)^2 * R.
Step 4: Calculate (I/2)^2, which is (I^2 / 4).
Step 5: Now, replace P in the formula: P = (I^2 / 4) * R.
Step 6: Notice that this is equal to (1/4) * (I^2 * R), which is (1/4) * P (the original power).
Step 7: This means the new power is one-fourth of the original power, so the power is reduced to a quarter.
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