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Question: A solenoid of 1.5 metre length and 4.0 cm diameter posses 10 turn per cm. A current of 5 ampere is f...

A solenoid of 1.5 metre length and 4.0 cm diameter posses 10 turn per cm. A current of 5 ampere is flowing through it. The magnetic induction at axis inside the solenoid is

A

2π×1032 \pi \times 10 ^ { - 3 } Tesla

B

2π×1052 \pi \times 10 ^ { - 5 } Tesla

C

4π×1024 \pi \times 10 ^ { - 2 } Gauss

D

2π×1052 \pi \times 10 ^ { - 5 } Gauss

Answer

2π×1032 \pi \times 10 ^ { - 3 } Tesla

Explanation

Solution

B=μoni=4π×107×5×1000=2π×103B = \mu _ { o } n i = 4 \pi \times 10 ^ { - 7 } \times 5 \times 1000 = 2 \pi \times 10 ^ { - 3 } Tesla