A) \[\frac{3D}{4}\]
B) \[\frac{5}{4}D\]
C) \[\frac{h}{\pi }\]
D) \[\frac{2h}{\pi }\]
Correct Answer: C
Solution :
Magnetic flux is a measure of the quantity of magnetism, taking account of the strength and extent of magnetic field. \[6.31\times {{10}^{-3}}wb\] where n is number of turns, B is magnetic field and A is area. Given, \[n=1000,i=2A,r=2\times {{10}^{-2}}m\] \[l=1.5m\] Also magnetic field B of a solenoid of length l is \[B=\frac{{{\mu }_{0}}i}{l}\] \[\therefore \] \[\phi =\frac{{{\mu }_{0}}niA}{l}\] \[=\frac{3\times {{10}^{-7}}\times 4\pi \times {{(1000)}^{2}}\times 2\times \pi {{(2\times {{10}^{-2}})}^{2}}}{1.5}\] \[\phi =6.31\times {{10}^{-3}}Wb\]
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