Answer :

a) The solution to this question is intuitive.

The made at center for pentagon is,

Θ=72°

And the force is always perpendicular to the line joining the wire and the point to be calculated at e.g. OB.

So the force vector is at 90° from OB.

This makes an angle of 18° with OA.

Hence after finding out all the forces we are going to end up in a pentagon (HIJGF) with a shift of 18°.

So, the force at center is 0.

Wires are taken to be infinitely long

b) When we eliminate one wire then;

This is the magnetic induction when one wire is eliminated.

c)

If one wire is revised, then

=

= along FH

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