JEE Main202313 Apr 2023Morning ShiftPhysicsElectrostaticsActual
A thin infinite sheet charge and an infinite line charge of respective charge densities + σ and + λ are placed parallel at 5 m distance from each other. Points P and Q are at 3 π m and 4 π m perpendicular distances from line charge towards sheet charge, respectively. E p and E q are the magnitudes of resultant electric field intensities at point P and Q respectively. If E P E Q = 4 a for 2 | σ
Correct answer
0
Step-by-step solution
Let's consider the following diagram: The formula to calculate the electric field due to an infinitely long charged sheet is given by E s = σ 2 ε 0       . . . 1 The formula to calculate the electric field due to an infinitely long line charge is given by E l = λ 2 π ε 0 r       . . . 2 Using equations (1) and (2), the electric field at P can be calculated as follows: E P = σ 2 ε 0 - 1 4 π ε 0 2 λ 3 π = σ 2 ε 0 - _