Question

A non - popular loop of conducting wire carrying a current `I` is placed as shown in the figure . Each of the straighrt sections of the loop is of the length ` 2a`. The magnetic field due to this loop at the point `P(a, 0 ,a)` points in the direction

A. `(1)/sqrt(2) (-hatj +hatk)`
B. `(1)/sqrt(3) (-hatj +hatk+hati)`
C. `(1)/sqrt(3) (hati+ hatj +hatk)`
D. `(1)/sqrt(2) (hati +hatk)`

Answer 1

Correct Answer - `D`
`B_(xy) =B hatk`
`B_(yz) =B hati`
`oversetrarrB =B (hati +hatk)`
`hatB = (1)/sqrt2 (hati +hatk)`