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Hydrogen Bonding

the charge q ...

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the charge q in a sperical region of radius R changes with time t as q=2e^{-3t}. The initial curreng density at the surface of sperical region

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Q. The figure shows two conducting concentric sperical shells of radii R and 2R.
The inner shell has a charge +Q and the outer one is neutral.

Energy stored in region given by R < r < 2R

\frac{Q^{2}}{32 π ϵ_{o} R}

Energy stored in region given by

2 R < r < \infty

\frac{Q^{2}}{16 π ϵ_{o} R}

Energy stored in region given by 2R < r < 4R

\frac{Q^{2}}{8 π ϵ_{o} R}

Heat generated when switch S is closed

Q. The figure shows two conducting concentric sperical shells of radii R and 2R.
The inner shell has a charge +Q and the outer one is neutral.

Energy stored in region given by R < r < 2R

\frac{Q^{2}}{32 π ϵ_{o} R}

Energy stored in region given by

2 R < r < \infty

\frac{Q^{2}}{16 π ϵ_{o} R}

Energy stored in region given by 2R < r < 4R

\frac{Q^{2}}{8 π ϵ_{o} R}

Heat generated when switch S is closed

Q. A particle of mass

M

is placed at the centre of a uniform sperical shell of mass

2 M

R .

The gravitational potential on the surface of the shell is

Q. A sperical ball of salt is dissolving in water in such a manner that the rate of decrease of its volume at any instant is equal four times its surface area. The rate of decrease in its radius (in units/sec) will be

Q. An insulating solid sphere of radius

R

has a uniform volume charge density and total charge

Q

V

x

is hyperbolic in the region :

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