Question:
Define mutual inductance of a pair of coils. Write its SI unit.
Define mutual inductance of a pair of coils. Write its SI unit.
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For solenoid-based mutual inductance problems:
- First find \(B = \mu_0 n I\)
- Then compute flux \( \Phi = BA \)
- Finally use \( M = \frac{\Phi}{I} \)
Updated On: Jul 2, 2026
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Solution and Explanation
Definition of mutual inductance
Concept: When two coils are placed near each other, a changing current in one coil produces a changing magnetic flux in the other coil. This phenomenon is called electromagnetic induction.
Step 1: Definition
Mutual inductance \(M\) of two coils is defined as the magnetic flux linked with one coil when unit current flows through the other coil. Mathematically: \[ M = \frac{N_2 \Phi_{21}}{I_1} \] where:
• \(N_2\) = number of turns in second coil
• \(\Phi_{21}\) = flux in second coil due to current \(I_1\) in first coil
Step 2: SI unit
Since: \[ M = \frac{\text{weber}}{\text{ampere}} \] So SI unit of mutual inductance is: \[ \boxed{\text{henry (H)}} \]
Concept: When two coils are placed near each other, a changing current in one coil produces a changing magnetic flux in the other coil. This phenomenon is called electromagnetic induction.
Step 1: Definition
Mutual inductance \(M\) of two coils is defined as the magnetic flux linked with one coil when unit current flows through the other coil. Mathematically: \[ M = \frac{N_2 \Phi_{21}}{I_1} \] where:
• \(N_2\) = number of turns in second coil
• \(\Phi_{21}\) = flux in second coil due to current \(I_1\) in first coil
Step 2: SI unit
Since: \[ M = \frac{\text{weber}}{\text{ampere}} \] So SI unit of mutual inductance is: \[ \boxed{\text{henry (H)}} \]
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