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A long straight wire along the Z-axis ca...

A long straight wire along the Z-axis carries a current I in the negative z-direction. The magnetic vector field B at a point having coodinates (x, y) in the z = 0 plane is

A

`(mu_0I(yhati-xhatj))/(2pi(x^2+y^2))`

B

`(mu_0I(xhati+yhatj))/(2pi(x^2+y^2))`

C

`(mu_0I(xhatj-yhati))/(2pi(x^2+y^2))`

D

`(mu_0I(xhati-yhatj))/(2pi(x^2+y^2))`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) Magnetic field `|vecB|=(mu_0I)/(2pi(sqrt(x^2+y^2))):` Unit vector perpen-
dicular to the position vector is `((yhati-xhatj))/(sqrt(x^2+y^2))`.
`:. vecB=(mu_0I)/(2pi(x^2+y^2)) (yhati-xhatj)`
(a) is the correct option.
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