Home
Class 12
PHYSICS
Let E1(r), E2(r) and E3(r) be the respec...

Let `E_1(r)`, `E_2(r)` and `E_3(r)` be the respectively electric field at a distance r from a point charge `Q`, an infinitely long wire with constant linear charge density `lambda`, and an infinite plane with uniform surface charge density `sigma`. If `E_1(r_0)=E_2(r_0)=E_3(r_0)` at a given distance `r_0`, then

A

`Q=4 sigma pi r_(0)^(2)`

B

`r_(0)=(lamda)/(2 pi sigma)`

C

`E_(1)(r_(0)//2)=2E_(2)(r_(0)//2)`

D

`E_(2)(r_(0)//2)=4E_(3)(r_(0)//2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Electric field at a point of distance r from a uniformly charged wire of infinite length having linear charge density lambda is directly proportional to

A charge particle q is released at a distance R_(@) from the infinite long wire of linear charge density lambda . Then velocity will be proportional to (At distance R from the wire)

Draw a graph of electric field E(r) with distance r from the centre of the shell for 0 le r le 0 .

Electric field due to an infinite non-conducting sheet of surface charge density sigma , at a distance r from it is

Let E_1 and E_2 denotes gravitational field at distance r_1 and r_2 from the axis of an infinitely long solid cylinder of the radius R. Which of the following must hold true ?

The electric field intensity in free space at a distance 'r' outside a charged conducting sphere of radius 'R' in terms of surface charge density sigma is