If the resistance of a circuit is doubled while keeping the induced EMF constant
Practice Questions
Q1
If the resistance of a circuit is doubled while keeping the induced EMF constant, what happens to the induced current?
It doubles
It halves
It remains the same
It becomes zero
Questions & Step-by-Step Solutions
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.
