Practice question
Question
A solenoid of 1000 turns/m and area 0.02 m² has μ_r = 2 . What is its self-inductance? ( μ_0 = 4Ï€ × 10â»â· H/m )
Explanation
Given:
A solenoid of 1000 turns/m and area 0.02 m² has μ_r = 2 . What is its self-inductance? ( μ_0 = 4Ï€ × 10â»â· H/m )
These values define the system as per NCERT data.
Formula:
L = μ_r μ_0 n² A l, assume l = 1 m.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
L = 2 × 4Ï€ × 10â»â· × (1000)² × 0.02 × 1 = 0.05024 H approx 0.05 H .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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