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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Electrostatics

Olympiad workbook · NSEP · Electrostatics

A charge +q is placed at each of the points x=x_0, x=3 x_0, x=5...

A charge +q+q is placed at each of the points x=x0,x=3x0,x=5x0,x=7x0…………..∞x=x_0, x=3 x_0, x=5 x_0, x=7 x_0 \ldots \ldots \ldots \ldots . . \infty on the xx-axis and a charge −q-q is placed at each of the points x=2x0,x=4x0,x=6x0,x=8x0……∞x=2 x_0, x=4 x_0, x=6 x_0, x=8 x_0 \ldots \ldots \infty here x0x_0 is a positive constant. Take the electric potential at a point due to a charge qq at a distance rr from it to be V=14πε0qr\mathrm{V}=\frac{1}{4 \pi \varepsilon_0} \frac{q}{r}. The electric potential at the origin due to the above system of charges is

Options

  1. Azero
  2. B14πε0qx0ln⁡2\frac{1}{4 \pi \varepsilon_0} \frac{q}{x_0} \ln 2
  3. C14πε0qx02ln⁡2\frac{1}{4 \pi \varepsilon_0} \frac{q}{x_0 2 \ln 2}
  4. Dinfinite

Correct answer

B. 14πε0qx0ln⁡2\frac{1}{4 \pi \varepsilon_0} \frac{q}{x_0} \ln 2

Step-by-step solution

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