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If the resistance in a circuit is doubled while the voltage remains constant, wh
If the resistance in a circuit is doubled while the voltage remains constant, what happens to the current?
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Practice Questions
1 question
Q1
If the resistance in a circuit is doubled while the voltage remains constant, what happens to the current?
Doubles
Halves
Remains the same
Increases exponentially
Show Solution
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According to Ohm's law (V = IR), if resistance (R) is doubled and voltage (V) remains constant, the current (I) will be halved.
Questions & Step-by-step Solutions
1 item
Q
Q: If the resistance in a circuit is doubled while the voltage remains constant, what happens to the current?
Solution:
According to Ohm's law (V = IR), if resistance (R) is doubled and voltage (V) remains constant, the current (I) will be halved.
Steps: 8
Show Steps
Step 1: Understand Ohm's Law, which states that Voltage (V) = Current (I) x Resistance (R).
Step 2: Identify that in this scenario, the voltage (V) is constant.
Step 3: Recognize that if the resistance (R) is doubled, we can represent it as 2R.
Step 4: Rewrite Ohm's Law with the new resistance: V = I x (2R).
Step 5: Since V is constant, we can set the original equation equal to the new one: I x R = I' x (2R), where I' is the new current.
Step 6: Simplify the equation: I = I' x 2.
Step 7: Solve for I': I' = I / 2.
Step 8: Conclude that if the resistance is doubled, the current is halved.
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