Physics question help/ check my answers

The middle two question please check my answers and tell me if I am correct or if there is something I am missing. The first and the last question I need help to understand and complete it. Thank you in advance!!!

1. What is the electric force between a +2 µC point charge and a –2 µC point charge if they are separated by a distance of 5.0 cm? Show your work. (µC = 1.0 × 10–6 C)
Answer:



2. The strength of an electric field at 5.0 cm from a point charge is 100.0 N/C. What is the magnitude of the source charge? Show your work.
Answer:
5 cm. r = 5/100 = 0.05 m
E=q4πϵ∗r2
Constant: 9 * 10^9
100=9∗109∗q0.05
q=0.55∗10−9C








3. A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show your work. (µC = 1.0 × 10–6 C)
Answer:



 10 = [1.0 • 10^ (- 6)   ] • (V)

V = 1.0 • 10^7 volts 

Delta v 10.0 µJ


4. Complete each of the following parts and show your work:
a.) Draw the electric field around a +2.0 × 10–5 C point source charge. Draw the field lines and indicate their direction. Draw two different equipotential lines.
b.) Calculate the force between a +5 µC test point charge and this source charge at a distance of 2.00 cm. (µC = 1.0 × 10–6 C)
c.) If the test charge were moved closer to the source charge, would the change in its potential energy be positive, negative or zero? Explain.
Answer:

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