A solenoid having area A and length '' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is:: [2025]

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Solution

Q.
A solenoid having area A and length ' $l$ ' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is:: [2025]

Solution

Q.
A solenoid having area A and length ' $l$ ' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is:: [2025]

1 $\frac{B^{2} A l}{μ_{0}}$

2 $\frac{B^{2} A l}{2 μ_{0}}$

3 $B^{2} A l$

4 $\frac{B^{2} A l}{4 μ_{0}}$

Ans.
(4)

$\frac{u}{V} = \frac{B^{2}}{2 μ_{r} μ_{0}} \Rightarrow u = \frac{B^{2}}{4 μ_{0}} V = \frac{B^{2}}{4 μ_{0}} A l$

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Solution

Q. A solenoid having area A and length 'l' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is:: [2025]

1 B2Alμ0

2 B2Al2μ0

3 B2Al

4 B2Al4μ0

Ans. (4) uV=B22μrμ0 ⇒ u=B24μ0V=B24μ0Al

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Q.
A solenoid having area A and length ' $l$ ' is filled with a material having relative permeability 2. The magnetic energy stored in the solenoid is:: [2025]

1 $\frac{B^{2} A l}{μ_{0}}$

2 $\frac{B^{2} A l}{2 μ_{0}}$

3 $B^{2} A l$

4 $\frac{B^{2} A l}{4 μ_{0}}$

Ans.
(4)

$\frac{u}{V} = \frac{B^{2}}{2 μ_{r} μ_{0}} \Rightarrow u = \frac{B^{2}}{4 μ_{0}} V = \frac{B^{2}}{4 μ_{0}} A l$