Question

and height h. 11-16 (a) Consider a vector function with the property Vx everywhere on two closed curves Cy and C, and on any surface S of the region enclosed by them (see the figure). Show that the circulation of F around C, equals the circulation of F around C In calculating the circulations direct the curves as indi- cated by the arrows in the figure. capping Ci (b) The magnetic field due to an infinitely long straight wire car rying a uniform current I is B (μο1/2πree. Show that V x B 0 everywhere except at r 0. (c) Prove Ampère's circuital law for the field of the wire gof B part (b) [Hint: Use the result of (b) to find the circu around a circle with the wire passing through its center and normal to its plane. Then use the result of part (a) to relate this circulation to the circulation around an arbitrary curve enclosing the current.]

Answer 1

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