A 25 cm long solenoid has radius 2 cm and 500 total number of turns. It carries a current of 15 A. If it is equivalent to a magnet of the same size and magnetization | barM| (magnetic moment/volume), then | barM| is :

Question

A 25 cm long solenoid has radius 2 cm and 500 total number of turns. It carries a current of 15 A. If it is equivalent to a magnet of the same size and magnetization | barM| (magnetic moment/volume), then | barM| is : (A) 3 π Am-1 (B) 30000 Am-1 (C) 300 Am-1 (D) 30000 π Am-1

Tardigrade Admin · Accepted Answer

| barM|=( text Total magnetic moment / text volume ) =( text NiA /A l)=(N i/l)=(500 × 15/0.25)=30,000 Am -1

Q. A $25 c m$ long solenoid has radius $2 c m$ and $500$ total number of turns. It carries a current of $15 A$ . If it is equivalent to a magnet of the same size and magnetization $∣ \overset{ˉ}{M} ∣$ (magnetic moment/volume), then $∣ \overset{ˉ}{M} ∣$ is :

$3 π A m^{- 1}$

$30000 A m^{- 1}$

$300 A m^{- 1}$

$30000 π A m^{- 1}$

$∣ \overset{ˉ}{M} ∣ = \frac{Total magnetic moment}{volume}$
$= \frac{NiA}{A l} = \frac{N i}{l} = \frac{500 \times 15}{0.25} = 30, 000 A m^{- 1}$

Q. A 25cm long solenoid has radius 2cm and 500 total number of turns. It carries a current of 15A. If it is equivalent to a magnet of the same size and magnetization ∣Mˉ∣ (magnetic moment/volume), then ∣Mˉ∣ is :

3πAm−1

30000Am−1

300Am−1

30000πAm−1