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  • (a) Draw the pattern of magnetic field lines for a circular coil carrying current. (b) Two identical circular loops X and Y of radius R and carrying the same current are kept in perpendicular planes such that they have a common centre at P as sh

(a) Draw the pattern of magnetic field lines for a circular coil carrying current.
(b) Two identical circular loops X and Y of radius R and carrying the same current are kept in perpendicular planes such that they have a common centre at P as shown in the figure. Find the magnitude and direction of the net magnetic field at the point P due to the loops.

 

 

 
 
 
 
 

Answers (1)

a) magnetic field lines of a circular current carying coil is given below
 
b)


  
\left | B_{X} \right |= \left | B_{Y} \right |
B= \sqrt{2}\, B_{X}= \sqrt{2}\, B_{Y}
 = \frac{\sqrt{2}\mu_{0}I R^{2}}{2\pi \left ( R+X \right )^{\frac{3}{2}}}
= \frac{\mu_{0}I R^{2}}{\sqrt{2}\, \pi \left ( R+X \right )^{\frac{3}{2}}}  
B is in 45^{\circ} with BX

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