Electricity and magnetism physics problems. The solutions are given, but I would

Question

Electricity and magnetism physics problems. The solutions are given, but I would like work to be shown on how to do problems 6 through 10. Thank you.

6, A spherical balloon of radius r= 20 cm carries a charge uniformly distributed over its surface with surface charge density 9.00 C/m, what is the electric field at a distance of 50 cm from the center of the balloon? Suppose that the balloon shrinks to a radius of 10 cm but loses none of its charge. What is the field at the same distancer-50 cm from its center?e =1.63x10%, ‰ or1n bota cases Calculate the amount of work required to assemble point charges at three of the corners of a square 15 cm on a side. The two charges brought to diagonally opposite corners are 5.0 C each, and the charge placed diagonally opposite the empty corner is -16 uC. Assume that before assembly the charges are infi 7. nitely separated from each other Y-8.53 8. A charge 2q is placed inside a cylinder at the midpoint of the cylinder's axis. The flux through one end of the cylinder is 1. Obtain an equation for the flux through the curved part of the cylinder's surface in terms of q and 1. 9. The plates of a parallel plate capacitor are separated by 0.01 mm. When this capacitor is charged such that the magnitude of the surface charge density on the plates is 25 nC/cm2, the magnitude of the total charge on each plate is 3.0 uC. What would be the capacitance of a device identical to this in all respects except having the volume between the plates filled with a dielectric of constant - 2.5? 10. An air-filled coaxial cylindrical capacitor has a length of 10.0 m. The inner conductor has a radius of 5.0 mm and the outer conductor has a radius of 10.0 mm. If the magnitude of the charge per unit length on each conductor is 15 C/m, how much energy is stored in the capacitor?

Explanation / Answer

6) Electric Field using gauss law

E.A = q/E0

E=q/E0.A =sigma/E0 = 9e-6/8.854e-12 = 1.0164e6 N/C

As sigma is same it remains same.

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