Home
Class 12
PHYSICS
Figure shows two concentric spheres of r...

Figure shows two concentric spheres of radii `R_(1)` and `R_(2) (R_(2) gt R_(1))` which contain uniformly distributed charges Q and -Q respectively. Find out electric field intensities at the following positions :

(i) `r lt R_(1)` (ii) `R_(1) le r le R_(2)` (iii) `r ge R_(2)`

Text Solution

Verified by Experts


Net electric field `= E_(1) + E_(2)`
`E_(1)` = field due to sphere of radius `R_(1)`
`E_(2)` = field due to sphere of radius `R_(2)`
(i) `E_(1) = 0, E_(2) = 0`
`E_("net") = 0`
(ii) `E_(1) = (KQ)/(r^(2)), E_(2) = 0`
`rArr vec(E) = (Kq)/(r^(2))hat(r )`
(iii) `vec(E)_(1) = (Kq)/(r^(2))hat(r ) vec(E)_(2) = (Kq)/(r^(2))(-hat(r ))`
`rArr vec(E)_("net") = vec(E)_(1) + vec(E)_(2) = 0`
Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    MOTION|Exercise SELF PRACTICE PROBLEM|27 Videos

  • ELECTROSTATICS

    MOTION|Exercise Exercise -1 (Objective Problems | NEET)|105 Videos

  • ELECTROSTATICS

    MOTION|Exercise Exercise -3 Section (B) Previous Year Problems | JEE Main|30 Videos

  • ELECTRONICS - SEMI CONDUCTOR

    MOTION|Exercise EXERCISE - 3|29 Videos

  • ELECTROSTATICS - I

    MOTION|Exercise EXERCISE - 4 (Level -II) PREVIOUS YEAR - JEE ADVANCED|13 Videos

Similar Questions

Explore conceptually related problems

Two concentric spherical shells of radius R_(1) and R_(2) (R_(2) gt R_(1)) are having uniformly distributed charges Q_(1) and Q_(2) respectively. Find out total energy of the system.

The capacitance of two concentric spherical shells of radii R_(1) and R_(2) (R_(2) gt R_(1)) is

Two concentric uniformly charge spherical shells of radius R_(1) and R_(2) (R_(2) gt R_(1)) have total charges Q_(1) and Q_(2) respectively. Derive an expression of electric field as a function of r for following positions. (i) r lt R_(1) (ii) R_(1) le r lt R_(2) (iii) r ge R_(2)

Find force acting between two shells of radius R_(1) and R_(2) which have uniformly distributed charges Q_(1) and Q_(2) respectively and distance between their centres is r.

Two concentric spherical shells of radius R_(1) and R_(2) (R_(2) gt R_(1)) are having uniformly distributed charges Q_(1) and Q_(2) respectively. Find out potential (i) at point (ii) at surface of smaller shell (i.e. at point B) (iii) at surface of larger shell (i.e. at point C) (iv) at r le R_(1) (v) at R_(1) le r le R_(2) (vi) at r ge R_(2)

Two Cu wires of radii R_(1) and R_(2) are such that (R_(1) gt R_(2)) . Then which of the following is true ?

Two concentric, thin metallic spheres of radii R_(1) and R_(2) (R_(1) gt R_(2)) bear charges Q_(1) and Q_(2) respectively. Then the potential at distance r between R_(1) and R_(2) will be

A non-conducting solid sphere has volume charge density that varies as rho=rho_(0) r, where rho_(0) is a constant and r is distance from centre. Find out electric field intensities at following positions. (i) r lt R" " (ii) r ge R

The concentric, thin metallic spheres of radii r_(1) and r_(2) (r_(1) gt r_(2)) carry charges q_(1) and q_(2) respectively. Then the electric potential at distance r (r_(2) lt r lt r_(1)) will be (1)/(4pi epsilon_(0)) times