A) \[4.1\,\times {{10}^{-5}}Wb\]
B) \[5.2\,\times {{10}^{-5}}Wb\]
C) \[6.31\,\times {{10}^{-31}}Wb\]
D) \[2.5\,\times {{10}^{-7}}Wb\]
Correct Answer: C
Solution :
Magnetic flux is a measure of the quantity of magnetism, taking account of the strength and extent of magnetic field. \[\phi =nBA\] where n is number of turns, B is magnetic field and A is area. Given, \[n=1000,i=2A,r=2\times {{10}^{-2}}m,\] \[l=1.5\,m\] Also magnetic field B of a solenoid of length \[l\] is \[B=\frac{{{\mu }_{0}}ni}{l}\] \[\therefore \] \[\phi \text{=}\frac{{{\mu }_{0}}{{n}^{2}}iA}{l}\] \[=\frac{3\times {{10}^{-7}}\times 4\pi \times {{(1000)}^{2}}\times 2\times \pi {{(2\times {{10}^{-2}})}^{2}}}{1.5}\] \[\phi \text{= 6}\text{.31}\times {{10}^{-3}}\,Wb\]
You need to login to perform this action.
You will be redirected in
3 sec
