Advertisements
Advertisements
प्रश्न
A spherical conductor of radius 12 cm has a charge of 1.6 × 10−7 C distributed uniformly on its surface. What is the electric field
- inside the sphere
- just outside the sphere
- at a point 18 cm from the centre of the sphere?
Advertisements
उत्तर
(a) Radius of the spherical conductor, r = 12 cm = 0.12 m
Charge is uniformly distributed over the conductor, q = 1.6 × 10−7 C
The electric field inside a spherical conductor is zero. This is because if a field is inside the conductor, then charges will move to neutralize it.
(b) Electric field E just outside the conductor is given by the relation,
`E = q/(4piε_0r^2)`
Where,
`ε_0` = Permittivity of free space
`1/(4piε_0) = 9 xx 10^9` N m2 C−2
∴ `E = (1.6 xx 10^-7 xx 9 xx 10^9)/(0.12)^2`
= `(14.4 xx 10^2)/0.0144`
= 1000 × 102
= 105 N C−1
Therefore, the electric field just outside the sphere is 105 N C−1.
(c) Electric field at a point 18 m from the centre of the sphere = E1
Distance of the point from the centre, d = 18 cm = 0.18 m
`E_1 = q/(4piε_0d^2)`
= `(9 xx 10^9 xx 1.6 xx 10^-7)/(18 xx 10^-2)^2`
= `(14.4 xx 10^2)/(324 xx 10^-4)`
= 0.044 × 106
= 4.4 × 104 N C−1
Therefore, the electric field at a point 18 cm from the centre of the sphere is 4.4 × 104 N C−1.
संबंधित प्रश्न
A 4 µF capacitor is charged by a 200 V supply. It is then disconnected from the supply and is connected to another uncharged 2 µF capacitors. How much electrostatic energy of the first capacitor is lost in the form of heat and electromagnetic radiation?
If Coulomb’s law involved 1/r3 dependence (instead of 1/r2), would Gauss’s law be still true?
Electric-field magnitude 'E' at points inside and outside a positively charged spherical conductor having charge Q and a radius R are ______.
If R is the radius of a spherical conductor, Vm the dielectric strength, then the maximum electric-field magnitude to which it can be raised is ______.
The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is ______.
Which of the following statements is false for a perfect conductor?
What happens to the electric field inside a conductor in electrostatic equilibrium?
Where does excess charge reside on a conductor in electrostatic equilibrium?
What is the direction of the electric field at the surface of a conductor in electrostatic equilibrium?
What is electrostatic shielding?
Which condition defines electrostatic equilibrium?
What is an equipotential body?
What would a tangential component of the electric field at a conductor's surface cause?
Why is the potential constant throughout a conductor in electrostatic equilibrium?
For the Gaussian pillbox at a charged conductor's surface, from which face does the flux come?
What did Faraday use to confirm that the room's interior remained charge-free?
What does Gauss's law give for a closed surface when the electric field inside the conductor is zero?
