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A 0.50-m long solenoid consists of 1 000 turns of copper wire wound with a 4.0 cm radius. When the current in the solenoid is 18 A, the magnetic field at a point 1.0 cm from the central axis of the solenoid is____.

a) 0.090 mT. b) 0.36 mT. c) 23 mT. d) 36 mT. e) 45 mT.

Respuesta :

Answer:

option E

Explanation:

Given,

Length of the solenoid = 0.50 m

Number of turn = 1000 turn

radius, r = 4 cm

Current = 18 A

Magnetic field inside the solenoid.

[tex]B = \mu_0 NI[/tex]

[tex]B = \mu_0 (\dfrac{N}{L})I[/tex]

[tex]B = 4\pi \times 10^{-7}\times (\dfrac{1000}{0.5})\times 18[/tex]

[tex]B = 0.045\ T[/tex]

[tex]B = 45\ mT[/tex]

Hence, the correct answer is option E

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