a. A charge of Q coulomb is uniformly distributed over a spherical volume of radius R metre. Obtain an expression for the energy of the system. b. What will be the corresponding expression for the energy needed to completely disassemble the planet earth against the gravitational pull amongst its constituent particles? Assume the earth to be a sphere of uniform mass density. Calculate this energy, given the product of the mass and the radius of the earth to be 2.5 x 10³1 kg m. c. If the same charge of Q coulomb as in part (a) above is given to a spherical conductor of the same radius R, what will be the energy of the system?

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a. A charge of Q coulomb is uniformly distributed over a
spherical volume of radius R metre. Obtain an expression
for the energy of the system.
b. What will be the corresponding expression for the energy
needed to completely disassemble the planet earth against
the gravitational pull amongst its constituent particles?
Assume the earth to be a sphere of uniform mass
density. Calculate this energy, given the product of the
mass and the radius of the earth to be 2.5 × 10³1 kg m.
c. If the same charge of Q coulomb as in part (a) above is
given to a spherical conductor of the same radius R, what
will be the energy of the system?
Transcribed Image Text:a. A charge of Q coulomb is uniformly distributed over a spherical volume of radius R metre. Obtain an expression for the energy of the system. b. What will be the corresponding expression for the energy needed to completely disassemble the planet earth against the gravitational pull amongst its constituent particles? Assume the earth to be a sphere of uniform mass density. Calculate this energy, given the product of the mass and the radius of the earth to be 2.5 × 10³1 kg m. c. If the same charge of Q coulomb as in part (a) above is given to a spherical conductor of the same radius R, what will be the energy of the system?
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