A long straight wire carrying a 2.5 A current passes through the centre of a rectangle of dimensions 2.5 m by 7.5 m at the angle of 45 degrees to the surface normal. What is the path integral of ∮B⇀ ∙ ds⇀ around the outside of the rectangle? Express your answer using two significant figures. The answer should be in μT∙m.

The value of path integral is 2.2

Explanation:

Given:

Current carrying by long wire A

Area of rectangle

Angle with surface normal 45°

According to the ampere's circuital law,

Where area element

Here,

Put value of current in above equation,

Therefore, the value of path integral is 2.2

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