A 25cm long solenoid has the radius 2cm and 500 turns. It carries a...

25cm

long solenoid has the radius

2cm and 500

turns. It carries a current of

15A

. If it is equivalent to a magnet of the same size and magnetization

\overset{\to}{M}\left(\dfrac{Magneticmoment}{volume}\right),

then \left|\overset{\to}{M}\right| is: A 25cm long solenoid has the radius 2cm and 500 turns. It carries a current of 15A . If it is equivalent to a magnet of

Options

A $3\piA{m}^{- 1}$
B $30000A{m}^{- 1}$
C $30000\piA{m}^{- 1}$
D $300A{m}^{- 1}$

Correct answer

B. $30000A{m}^{- 1}$

Step-by-step solution

A 25cm long solenoid has the radius 2cm and 500 turns. It carries a current of 15A . If it is equivalent to a magnet of

Volume = Al $<br /><br />Magnetization\overset{\to}{M} = \dfrac{magneticmonent}{Volume}$

$= \dfrac{\left(No . ofturns\right) \times \left(Current\right) \times Area}{Volume}$

$= \dfrac{NIA}{Al}$

$= \dfrac{NI}{l}$

$= \dfrac{500 \times 15 \times 100}{25}$

$= 60 \times 500$

$= 30 \times {10}^{3}$

$= 30000A{m}^{- 1}$

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