Question

In the figure, a very large plane sheet of positive charge is shown. \(P_1\) and \(P_2\) are two points at distance \(l \) and \(2l\) from the charge distribution. If \(σ \) is the surface charge density, then the magnitude of electric fields \(E_1\) and \(E_2\) and \(P_1\) and \(P_2\) respectively are

• A. \(E_1 = \frac {σ}{ε_0}, E_2 = \frac {σ}{2ε_0}\)
• B. \(E_1 = \frac {2σ}{ε_0}, E_2 = \frac {σ}{ε_0}\)
• C. \(E_1 = E_2 = \frac {σ}{2ε_0}\)
• D. \(E_1 = E_2 = \frac {σ}{ε_0}\)

Answer 1

The Correct Option is C

For an infinite charged plane
\(E = \frac {σ}{2ε_0}\)
for each value of distance l
\(E_1 = \frac {σ}{2ε_0}\)

\(E_2 = \frac {σ}{2ε_0}\)
Thus,
\(E_1 = E_2 = \frac {σ}{2ε_0}\)

So, the correct option is (C): \(E_1 = E_2 = \frac {σ}{2ε_0}\)