JEE Advanced2014PhysicsElectrostaticsActual
Let E 1 r , E 2 r and E 3 r be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density λ , and an infinite plane with uniform surface charge density σ . If E 1 r 0 = E 2 r 0 = E 3 r 0 at a given distance r 0 , then
Options
- AQ = 4 σ π r 0 2
- Br 0 = λ 2 π σ
- CE 1 r 0 2 = 2 E 2 r 0 2
- DE 2 r 0 2 = 4 E 3 r 0 2
Correct answer
C. E 1 r 0 2 = 2 E 2 r 0 2
Step-by-step solution
Q 4 π ε 0 r 0 2 = λ 2 π ε 0 r 0 = σ 2 ε 0 E 1 r 0 2 = Q π ε 0 r 0 2 , E 2 r 0 2 = λ π ε 0 r 0 , E 3 r 0 2 = σ 2 ε 0 E 1 r 0 2 = 2 E 2 r 0 2