The magnetic energy stored in a long solenoid of area of cross-section A in a small region of length L is

Question

The magnetic energy stored in a long solenoid of area of cross-section A in a small region of length L is (A) (B2 A L/2 μ02) (B) (A L/2 μ0) (C) (1/2) μ0 B2 A L (D) (B2 A L/2 μ0)

Tardigrade Admin · Accepted Answer

( text Energy / text Volume )=(B2/2 μ0) ⇒ Energy =(B2(A L)/2 μ0)

Q. The magnetic energy stored in a long solenoid of area of cross-section $A$ in a small region of length $L$ is

$\frac{B ^{2} A L}{2 μ _{0}^{2}}$

$\frac{A L}{2 μ _{0}}$

$\frac{1}{2} μ_{0} B^{2} A L$

$\frac{B ^{2} A L}{2 μ _{0}}$

$\frac{Energy}{Volume} = \frac{B ^{2}}{2 μ _{0}}$
$\Rightarrow$ Energy $= \frac{B ^{2} ( A L )}{2 μ _{0}}$

Q. The magnetic energy stored in a long solenoid of area of cross-section A in a small region of length L is

2μ02​B2AL​

2μ0​AL​

21​μ0​B2AL

2μ0​B2AL​