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CUET · PHYSICS · PYQ PAPER 2023

The magnetic energy stored in a current carrying solenoid is (if \(B=\) magnetic field, \(1=\) length of solenoid, \(A=\) area of cross section of solenoid) :

  1. A \(\frac{ B ^2}{2 \mu_0}\)
  2. B \(\frac{\mu_0 B^2}{2}\)
  3. C \(\frac{\mu_0 B^2 Al }{2}\)
  4. D \(\frac{ B ^{ 2 } A l }{ 2 \mu_0}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{ B ^{ 2 } A l }{ 2 \mu_0}\)

Step-by-step Solution

Detailed explanation

Total magnetic energy is calculated by multiplying the magnetic energy density \(\left(\frac{B^2}{2 \mu_0}\right)\) by the total volume of the solenoid \((A l)\). D) \(\frac{B^2 A I}{2 \mu_0}\)
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