A coil ACD of N turns and radius R carries a current I ampere and is placed on a horizontal table. K is a small conducting ring of radius r placed at a distance y_o from the centre of and vertically above the coil ACD. Find an expression for the flux .

Solution

We have a coil ACD of N turns and radius R carrying current I Ampere and, also a conducting ring K of radius 'r'.
Distance between ring and coil ACD = y_o

The field along the axis of the coil ACD is given by

\frac{μ_{0}}{4 π} . \frac{2 π {nIR}^{2}}{{(R^{2} + {y_{o}}^{2})}^{3 / 2}}

Since, the ring is small it may be assumed that the induction through it is uniform and is equal to that on the axis.

The magnetic flux linked with it is

ϕ = BA = \frac{μ_{0}}{4 π} . \frac{2 π {nIR}^{2}}{{(R^{2} + {y_{o}}^{2})}^{3 / 2}} \times {πr}^{2} = \frac{μ_{0}}{2} . \frac{{πnIR}^{2} r^{2}}{{(R^{2} + {y_{o}}^{2})}^{3 / 2}} .

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Electric Charges And Fields

A coil ACD of N turns and radius R carries a current I ampere and is placed on a horizontal table. K is a small conducting ring of radius r placed at a distance y_o from the centre of and vertically above the coil ACD. Find an expression for the flux .

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?

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For Daily Free Study Material Join wiredfaculty

Electric Charges And Fields

A coil ACD of N turns and radius R carries a current I ampere and is placed on a horizontal table. K is a small conducting ring of radius r placed at a distance yo from the centre of and vertically above the coil ACD. Find an expression for the flux .

Some More Questions From Electric Charges and Fields Chapter

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?b) Explain why two field lines never cross each other at any point?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A coil ACD of N turns and radius R carries a current I ampere and is placed on a horizontal table. K is a small conducting ring of radius r placed at a distance y_o from the centre of and vertically above the coil ACD. Find an expression for the flux .

a) An electrostatic field line is a continuous curve. That is, a field line cannot have sudden breaks. Why not?
b) Explain why two field lines never cross each other at any point?