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Physics Question on Moving charges and magnetism

A solenoid of length 0.6 m0.6 \,m has a radius of 1 cm1 \,cm and is made up of 600600 turns. It carries a current of 6 A6 \,A. What is the magnitude of the magnetic field inside the solenoid?

A

7.54×10−3T7.54\times 10^{-3}T

B

10.84×10−3  T10.84\times 10^{-3}\,\,T

C

4.87×10−3  T4.87\times 10^{-3}\,\,T

D

2.36×10−2  T2.36\times 10^{-2}\,\,T

Answer

7.54×10−3T7.54\times 10^{-3}T

Explanation

Solution

Given, I=0.6 m  r=1 cmI=0.6 \,m\,\, r=1 \,cm
N=600  i=6AN=600\,\, i=6 A
⇒Binside =μ0ni\Rightarrow B_{\text {inside }}=\mu_{0} n i
=4π×10−7×6000.6×6=4 \pi \times 10^{-7} \times \frac{600}{0.6} \times 6
=4π×10−7×36×103=4 \pi \times 10^{-7} \times 36 \times 10^{3}
=7.54×10−3T=7.54 \times 10^{-3} T