A) \[6.28\times {{10}^{-7}}T~\]
B) \[6.28\times {{10}^{-4}}T\]
C) \[6.28\times {{10}^{-6}}T\]
D) \[6.28\times {{10}^{-3}}T\]
E) None of the Above
Correct Answer: E
Solution :
: Here Length, \[l=0.4cm=0.4\times {{10}^{-2}}m\] Radius, \[r=1cm={{10}^{-2}}m\] Number of turns, \[N=400\] Current, \[I=5\text{ }A\] Number of turns per unit length is \[n=\frac{N}{l}=\frac{400}{0.4\times {{10}^{-2}}}={{10}^{5}}turns/m\] Magnetic field inside the solenoid is \[B={{\mu }_{0}}nI=4\pi \times {{10}^{-7}}\times {{10}^{5}}\times 5\] \[=62.8\times {{10}^{-2}}T=6.28\times {{10}^{-1}}T\] * None of the given options is correct.
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