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Question: Two uniformly long charged wires with linear densities l and 3l are placed along X and Y axis respec...

Two uniformly long charged wires with linear densities l and 3l are placed along X and Y axis respectively. Determined the slope of electric field at any point on the line y = 3\sqrt{3}x.(slope of electric field is tan a where a is the angle that electric field make with the x axis)

A

33\sqrt{3}

B

332\frac{\sqrt{3}}{3\sqrt{2}}

C

133\frac{1}{3\sqrt{3}}

D

3\sqrt{3}

Answer

133\frac{1}{3\sqrt{3}}

Explanation

Solution

= +

Slope = EyEx\frac { E _ { y } } { E _ { x } } = 13\frac { 1 } { \sqrt { 3 } } ÷ 3 = 133\frac { 1 } { 3 \sqrt { 3 } }