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A: There may be an induced emf in a loop...

A: There may be an induced emf in a loop without induced current.
R: Induced current depends on the resistance of the loop as well.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion.

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion.

C

If Assertion is true statement but Reason is false.

D

If both Assertion and Reason are false statements.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question, we will analyze both statements step by step. ### Step 1: Analyze the Assertion The assertion states: "There may be an induced EMF in a loop without induced current." - **Explanation**: According to Faraday's law of electromagnetic induction, an electromotive force (EMF) is induced in a loop when there is a change in magnetic flux through that loop. This induced EMF can exist even if there is no current flowing in the loop. This situation can occur if the loop has a very high resistance, which prevents current from flowing despite the presence of induced EMF. ### Step 2: Analyze the Reason The reason states: "Induced current depends on the resistance of the loop as well." - **Explanation**: The induced current (I) in a loop can be calculated using Ohm's law, given by the formula \( I = \frac{E}{R} \), where E is the induced EMF and R is the resistance of the loop. This means that if the resistance (R) is very high, the induced current (I) can be very small or even negligible, even if there is a significant induced EMF. ### Step 3: Conclusion - **Assertion**: True. There can be an induced EMF in a loop without an induced current if the resistance is high enough. - **Reason**: True. Induced current does depend on the resistance of the loop. However, the reason does not correctly explain the assertion because it does not address the condition under which an induced EMF can exist without an induced current. ### Final Answer Both the assertion and reason are true, but the reason is not the correct explanation for the assertion.
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