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A Helmholtz coil has a pair of loops, each with N turns and radius R. They are placed coaxially at distance R and the same
current I flows through the loops in the same direction. The magnitude of magnetic field at P, midway between the centres A and C, is given by [Refer to figure given below] :

  • Option 1)

    \frac{8N\mu _{0}I}{5^{1/2} R}

     

     

     

  • Option 2)

    \frac{8N\mu _{0}I}{5^{3/2} R}

  • Option 3)

    \frac{4N\mu _{0}I}{5^{1/2} R}

  • Option 4)

    \frac{4N\mu _{0}I}{5^{3/2} R}

 

Answers (1)

best_answer

As we learned

 

Hysteresis Curve -

The graph between B and H is called hysteresis curve

- wherein

 

 B=2\cdot \frac{\mu _{0}NIR^{2}}{2\cdot \left ( R^{2}+\frac{R^{2}}{4} \right )^{\frac{3}{2}}} =\frac{\mu _{0}NIR^{2}}{\frac{5^{\frac{3}{2}}}{8}\cdot R^{3}}

B=\frac{8\mu _{0}NI}{5^{\frac{3}{2}}R}


Option 1)

\frac{8N\mu _{0}I}{5^{1/2} R}

 

 

 

Option 2)

\frac{8N\mu _{0}I}{5^{3/2} R}

Option 3)

\frac{4N\mu _{0}I}{5^{1/2} R}

Option 4)

\frac{4N\mu _{0}I}{5^{3/2} R}

Posted by

prateek

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