A conducting wire is bend into a loop as shown in the figure. The segment AOB is parabolic given by the equation `y^(2)=2x`, while segment BA is a straight line x = 2. the magnrtic field in the region `vec(B)=-8hat(k)` tesla and the current in wire is 2A.

The magnetic field created by the current in the loop at point C will be

Options

A. `-(mu_(0))/(4pi)hat(k)`
B. `-(mu_(0))/(8pi)hat(k)`
C. `-(mu_(0)sqrt(2))/(pi)hat(k)`
D. none

Explanation

at C direction must be along `t hatk` direction.