Q4.27Multiple choice
Consider a circular current-carrying loop of radius R in the x-y plane with centre at origin. Consider the line intergral ℑ ( L ) = B.dl taken along z-axis. –L
- (a)Show that ℑ (L) monotonically increases with L.
- (b)Use an appropriate Amperian loop to show that ℑ ( ∞ ) = µ0 I , where I is the current in the wire.
- (c)Verify directly the above result.
- (d)Suppose we replace the circular coil by a square coil of sides R carrying the same current I. What can you say about S3 ℑ ( L ) and ℑ ( ∞ ) ? S1 S2