Question:
When a diamagnetic substance of relative permeability \(0.5\) is filled inside a solenoid, then its self-inductance
When a diamagnetic substance of relative permeability \(0.5\) is filled inside a solenoid, then its self-inductance
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The self-inductance of a solenoid depends on the permeability of the core. If a material with relative permeability \( \mu_r \) is inserted, the inductance changes as:
\[
L' = \mu_r L_0
\]
For diamagnetic materials, \( \mu_r<1 \), reducing the inductance.
Updated On: May 5, 2026
- becomes doubled
- becomes half
- is quadrupled
- becomes one-fourth
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The Correct Option is B
Solution and Explanation
The question asks the effect on self-inductance when a diamagnetic material is introduced.
-
Self-inductance of solenoid:
\[ L = \mu n^2 V \]
- \( \mu = \mu_0 \mu_r \)
- \( n \): turns per unit length
- \( V \): volume
-
Diamagnetic material:
\[ \mu_r = 0.5 \; (< 1) \]
-
Effect on inductance:
Original inductance:
\[ L_0 = \mu_0 n^2 V \]
New inductance:
\[ L = \mu_0 \mu_r n^2 V \]
\[ L = 0.5\,L_0 \]
Final Answer: Self-inductance becomes half
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