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  • The distance between two straight conductors is 5m. Current 2.5 A and 5A are flowing through them in the same direction. What will be the magnetic field at the mid point between them 

The distance between two straight conductors is 5m. Current 2.5 A and 5A are flowing through them in the same direction. What will be the magnetic field at the mid point between them 

Option: 1

2\times 10^{-7}T


Option: 2

3\times 10^{-7}T


Option: 3

4\times 10^{-7}T


Option: 4

5\times 10^{-7}T


Answers (1)

best_answer

The relation B=\frac{\mu_0}{4\pi}.\frac{2I}{A} gives, magnetic field at the midpoint due to the first conductor, 

B_1=\frac{\mu_0}{4\pi}.\frac{2I_1}{\frac{A}{2}}=\frac{\mu_0}{4\pi}.\frac{4I_1}{A}

and magnetic field at the midpoint due to the second conductor, 

B_2=\frac{\mu_0}{4\pi}.\frac{2I_2}{\frac{A}{2}}=\frac{\mu_0}{4\pi}.\frac{4I_2}{A}

I_2> I_1and hence B_2> B_1

\therefore The resultant magnetic field, 

B=B_2-B_1

      =\frac{\mu_0}{4\pi}.\frac{4}{A}(I_2-I_1)

      =\frac{\mu_0}{4\pi}.\frac{4}{A}(5-2.5)

      =\frac{4\pi\times10^{-7}}{4\pi}\times\frac{4}{5}\times2.5

      =2\times10^{-7}T

Posted by

Riya

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