A solenoid (μ r =2000) of volume 100 π cm 3 has a uniform magnetic field 4 T inside it. The magnetic energy stored inside solenoid is:-

Question

A solenoid (μ r =2000) of volume 100 π cm 3 has a uniform magnetic field 4 T inside it. The magnetic energy stored inside solenoid is:- (A) 1 J (B) 1/2 J (C) 3/4 J (D) Zero

Tardigrade Admin · Accepted Answer

U = u B × V =( B 2/2 μ0 μ r ) × V =(4 × 4/2 × 4 π × 10-7 × 2000) × 100 π × 10-6=1 J

Q. A solenoid $(μ_{r} = 2000)$ of volume $100 π c m^{3}$ has a uniform magnetic field $4 T$ inside it. The magnetic energy stored inside solenoid is:-

1 J

1/2 J

3/4 J

Zero

$U = u_{B} \times V = \frac{B ^{2}}{2 μ _{0} μ _{r}} \times V$
$= \frac{4 \times 4}{2 \times 4 π \times 1 0 ^{- 7} \times 2000} \times 100 π \times 1 0^{- 6} = 1 J$

Q. A solenoid (μr​=2000) of volume 100πcm3 has a uniform magnetic field 4T inside it. The magnetic energy stored inside solenoid is:-

1 J

1/2 J

3/4 J

Zero

U=uB​×V=2μ0​μr​B2​×V =2×4π×10−7×20004×4​×100π×10−6=1J

Q. A solenoid $(μ_{r} = 2000)$ of volume $100 π c m^{3}$ has a uniform magnetic field $4 T$ inside it. The magnetic energy stored inside solenoid is:-

$U = u_{B} \times V = \frac{B ^{2}}{2 μ _{0} μ _{r}} \times V$
$= \frac{4 \times 4}{2 \times 4 π \times 1 0 ^{- 7} \times 2000} \times 100 π \times 1 0^{- 6} = 1 J$