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If the resistance of a circuit is doubled while the voltage remains constant, wh
If the resistance of a circuit is doubled while the voltage remains constant, what happens to the current?
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Practice Questions
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Q1
If the resistance of a circuit is doubled while the voltage remains constant, what happens to the current?
It doubles
It halves
It remains the same
It quadruples
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According to Ohm's Law, I = V/R. If R is doubled, the current I will be halved.
Questions & Step-by-step Solutions
1 item
Q
Q: If the resistance of a circuit is doubled while the voltage remains constant, what happens to the current?
Solution:
According to Ohm's Law, I = V/R. If R is doubled, the current I will be halved.
Steps: 6
Show Steps
Step 1: Understand Ohm's Law, which states that Current (I) equals Voltage (V) divided by Resistance (R). This can be written as I = V/R.
Step 2: Identify that in this scenario, the voltage (V) remains constant.
Step 3: Recognize that if the resistance (R) is doubled, we can express this as R' = 2R, where R' is the new resistance.
Step 4: Substitute the new resistance into Ohm's Law: I' = V/R' = V/(2R).
Step 5: Simplify the equation: I' = (V/R) / 2, which shows that the new current (I') is half of the original current (I).
Step 6: Conclude that if the resistance is doubled while the voltage remains constant, the current is halved.
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