Home
Class 12
PHYSICS
A metal of radius of 1 cm can not hold a...

A metal of radius of 1 cm can not hold a charge of 1 coulomb. Why?

Text Solution

Verified by Experts

Here, `q=1C, r=1 cm = 10^(-2) m`
Therefore, capacitance of the sphere, `C = 4pi epsilon_(0) = 4 pi epsilon_(0) xx 10^(-12) F`
If the sphere is given a charge of 1 C, then its electric potential,
`V = q/C`
`V =1/(4pi epsilon_(0) xx 10^(-2)) =(9 xx 10^(-9))/10^(-2)`
`=9 xx 10^(11) V`
It follows that a sphere of radius I cm will hold a charge of 1 C, if it is raised to a potential of `9 xx 10^(11)` V. Obviously, it is not possible.
Promotional Banner

Topper's Solved these Questions

  • CAPACITANCE

    BETTER CHOICE PUBLICATION|Exercise MOST EXPECTED QUESTIONS|9 Videos

  • CAPACITANCE

    BETTER CHOICE PUBLICATION|Exercise MOST EXPECTED QUESTIONS (3/4 Marks Questions)|2 Videos

  • CAPACITANCE

    BETTER CHOICE PUBLICATION|Exercise NUMERICAL PROBLEMS |21 Videos

  • ALTERNATING CURRENTS

    BETTER CHOICE PUBLICATION|Exercise MOST EXPECTED QUESTIONS|11 Videos

  • CLASSIFICATION OF MATERIALS

    BETTER CHOICE PUBLICATION|Exercise Most expected question (2 marks)|3 Videos

Similar Questions

Explore conceptually related problems

Assertion: A metal sphere of radius 1 cm can not hold a charge of 1 coulomb Reason: For placing a charge of 1 coulomb on a shere of radius 1 cm, its potential has to eb raised to = 9 xx 10^22 V

Can a metal sphere of radius 1 cm hold a charge of 1 C?

A spherical conductor of radius 12 cm has a charge of 1.6 xx 10^-7C distributed uniformly on its surface. What is the electric field at a point 18 cm from the centre of the sphere?

A metal wire is bent into a circle of radius 10 cm. It is given a charge of 200 muC , which spreads on it uniformly, Calculate the electric potential at its centre.

Aluminium crystallises in .a cubic close packed structure. Its metallic radius is 125 pm. How many unit cell are there in 1.00 cm3 of aluminium ?

A small sphere of radius r_1 and charge q_1 is enclosed by a spherical shell of radius r_2 and charge q_2 . Show that if q_1 is positive, charge will necessarily flow from the sphere to the shell (when the two are connected by a wire) no matter what the charge q_2 on the shell is.

An electric flux of -6xx10^3Nm^2C^-1 passes through a spherical gaussian surface of radius 10 cm due to a point charge placed at the centre. What is the charge enclosed by the gaussian surface.

A solid metal sphere of radius r has charge +Q. This charge is one the surface of the sphere but it may be considered to be a point charge at its centre. Suggest, why your calculation in (a) for the metal sphere would not apply to a plastic sphere.

Two metallic sphers of radii 1 cm and 2 cm are given charges 10^-2C and 5xx10^-2 C respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is

A solid metal sphere of radius r has charge +Q. This charge is one the surface of the sphere but it may be considered to be a point charge at its centre. The sphere has radius 36 cm. Determine, for this sphere the capaciance the charge requried to raise the potential of the sphere form zero to 7.0 xx 10^5V .