A small charge q = 2 MC is placed in a region near a very large charge Q = 6 mC.
ID: 583588 • Letter: A
Question
A small charge q = 2 MC is placed in a region near a very large charge Q = 6 mC.a) Determine the electric potential V at point A that is a distance of 12 meters from this source charge Q.
Determine the electric potential V at point B that is a distance of 4 meters from this source charge Q. c) What is the difference in electric potential between these two points?
d) How much work would be required to move the small charge q from a point A to point B? Does your answer depend on the size of this charge q? Does your answer depend on the sign of this charge?
Explanation / Answer
Here ,
q = 2 mC = 2 *10^-3 C
Q = 6 mC = 0.006 C
a) electric potential at A = k * Q/d
electric potential at A = 9*10^9 * 0.006/12
electric potential at A = 4.5 *10^6 V
b)
electric potential at B = k * Q/d
electric potential at B = 9*10^9 * 0.006/4
electric potential at B = 1.35 *10^7 V
c)
difference in potential = VB - VA
difference in potential = 1.35 *10^7 - 4.5 *10^6
difference in potential = 9 *10^6 V
d)
work required to move the charge q = q * difference in potential
work required to move the charge q = 0.002 * 9*10^6 J
work required to move the charge q = 18000 J
the work required to move the charge q is 18000 J