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Given below are two statements labelled ...

Given below are two statements labelled as Assertion (A) and Reason ( R)
Assertion (A):Mutual inductance of a pair of coils depends on their separation as well as their relative orientation .
Reason ( R ) :Mutual inductance depends upon the length of the coil only .

A

Both A and R are true and R is also the correct explanation of A.

B

Both A and R are true but R is not the correct explanation of A.

C

A is true but R is false.

D

A is false and R is also false.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements regarding mutual inductance, we will evaluate both the Assertion (A) and the Reason (R) step by step. ### Step-by-Step Solution: 1. **Understanding Mutual Inductance**: - Mutual inductance (M) is a measure of the ability of one coil to induce an electromotive force (emf) in another coil due to a change in current in the first coil. 2. **Assertion (A)**: - The assertion states that "Mutual inductance of a pair of coils depends on their separation as well as their relative orientation." - This statement is **True**. The mutual inductance indeed depends on the distance (separation) between the coils and their orientation with respect to each other. If the coils are far apart, the magnetic field produced by one coil may not effectively link with the other coil, resulting in lower mutual inductance. Similarly, if the coils are oriented such that their planes are parallel or perpendicular inappropriately, the magnetic flux linkage will also be affected. 3. **Reason (R)**: - The reason states that "Mutual inductance depends upon the length of the coil only." - This statement is **False**. While the length of the coil can influence the mutual inductance, it is not the only factor. Mutual inductance also depends on the number of turns in each coil, the area of the coils, and their relative orientation and separation. Therefore, saying it depends only on the length is incorrect. 4. **Conclusion**: - Since Assertion (A) is true and Reason (R) is false, the correct relationship between the two statements is that the assertion is correct, but the reason provided is not valid. ### Final Answer: - Assertion (A) is True. - Reason (R) is False.
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