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Two uniformly long charged wires with linear densities λ and 3 λ are placed along X and Y axis respectively. Determined the slope of electric field at any point on the line y = 3 x .

Options

  1. A3 3
  2. B3 3 2
  3. C1 3 3
  4. D3

Correct answer

C. 1 3 3

Step-by-step solution

E x = 3 λ 2 π ϵ o x E y = λ 2 π ϵ o x 3 E → = 3 λ 2 πε 0 x i ^ + λ 2 πε 0 x 3 j ^ Slope = E y E x = 1 3 × 3 = 1 3 3

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