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Assertion Mutual inductance of two coils...

Assertion Mutual inductance of two coils depends on the distance between the coils and their orientation.
Reason It does not depend on the magnetic material filled between the coils.

A

If both Assertion and Reason are corrent and Reason is the corrent explanation of Assertion.

B

If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.

C

If Assertion is true but Reason is false.

D

If Assertion is false but Reason is ture.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Mutual inductance of two coils depends on the distance between the coils and their orientation." **Explanation**: - 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. - The mutual inductance indeed depends on the distance between the coils; as the distance increases, the mutual inductance generally decreases. - The orientation of the coils also affects mutual inductance. For example, if the coils are aligned in a way that maximizes the magnetic field linkage, the mutual inductance will be higher. ### Step 2: Understand the Reason The reason states that "It does not depend on the magnetic material filled between the coils." **Explanation**: - This statement is incorrect. The mutual inductance does depend on the medium between the coils. If a magnetic material is placed between the coils, it can enhance the magnetic coupling and thus increase the mutual inductance. - Different materials have different magnetic permeabilities, which affect how the magnetic field lines interact between the coils. ### Step 3: Conclusion Based on the analysis: - The assertion is **true**: Mutual inductance does depend on the distance and orientation of the coils. - The reason is **false**: Mutual inductance does depend on the magnetic material between the coils. ### Final Answer Therefore, the correct option is that the assertion is true, but the reason is false. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "Mutual inductance of two coils depends on the distance between the coils and their orientation." **Explanation**: - 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. - The mutual inductance indeed depends on the distance between the coils; as the distance increases, the mutual inductance generally decreases. ...
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