If the resistance of a circuit is doubled while keeping the induced EMF constant

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Question: If the resistance of a circuit is doubled while keeping the induced EMF constant, what happens to the induced current?

Options:

Correct Answer: It halves

Solution:

According to Ohm\'s law (I = V/R), if the resistance is doubled while the voltage (induced EMF) remains constant, the current will be halved.

If the resistance of a circuit is doubled while keeping the induced EMF constant, what happens to the induced current?

If the resistance of a circuit is doubled while keeping the induced EMF constant, what happens to the induced current?

Step 1: Understand Ohm's Law, which states that current (I) is equal to voltage (V) divided by resistance (R). This can be written as I = V/R.
Step 2: Identify that in this scenario, the induced EMF (voltage) remains constant.
Step 3: Recognize that if the resistance (R) is doubled, we can represent 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' = (1/2) * (V/R) = (1/2) * I, where I is the original current.
Step 6: Conclude that if the resistance is doubled, the induced current is halved.

Ohm's Law – Ohm's Law states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor.