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Mutual inductance of two coils can be in...

Mutual inductance of two coils can be increased by

A

decreasing the number of turns on the coils

B

increasing the number of turns on the coils

C

winding the coils on the wooden core

D

none of these.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding how to increase the mutual inductance of two coils, we will analyze each option provided and determine the correct answer based on the principles of electromagnetic induction. ### 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. It is influenced by several factors including the number of turns in the coils, the area of the coils, the distance between them, and the medium in which they are placed. 2. **Analyzing the Options**: - **Option 1: Decreasing the number of turns**: - This option suggests reducing the number of turns in the coils. Since mutual inductance is directly proportional to the number of turns (N), decreasing the number of turns will lead to a decrease in mutual inductance. Therefore, this option is incorrect. - **Option 2: Increasing the number of turns**: - This option suggests increasing the number of turns in the coils. Since mutual inductance is directly proportional to the number of turns, increasing the number of turns will indeed increase the mutual inductance. Therefore, this option is correct. - **Option 3: Winding the coils on a wooden core**: - This option suggests using a wooden core for the coils. Wood is an insulator and does not support magnetic flux as effectively as a ferromagnetic material. Therefore, using a wooden core would not enhance the mutual inductance and could potentially decrease it. Thus, this option is incorrect. 3. **Conclusion**: - The only correct method to increase the mutual inductance of two coils is to **increase the number of turns** in the coils. ### Final Answer: The mutual inductance of two coils can be increased by **increasing the number of turns** in the coils. ---
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