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Using Gauss’s Law, answer the following question An insulator of radius, a = 3 cm is...

Using Gauss’s Law, answer the following question

An insulator of radius, a = 3 cm is placed inside an SPHERICAL shell conductor of inner radius b = 7 cm and outer radius c = 12 cm. The conductor has a total charge of Q = - 10 nC. The insulator has a charge distributed around its volume with charge density ρ, where the value of ρo = 2 ∗ 10−4  C/m3 .

a) Compute the value of the TOTAL charge of the insulator. EXPRESS IT IN nC.

b) Using Gauss’s law, compute the value of the electric field for values of: r = 1 cm,    r = 5 cm,
r = 9 cm and r = 15 cm. Hint: Find expressions for these electric fields first and then plug in values.

c) Using the definition of electric potential, find an expression and compute the electric potential for r = 15 cm. Assume Vinfinity = 0 volts.

d) What is the electric potential inside the conductor?, Hint: Find the electric potential at the surface of the conductor.

e) Using the previous result, find the electric potential at r = 5 cm.

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