A total charge Q is uniformly distributed through-out a spherical volume of radius a. Which of the following is a dimensionally correct expression for the potential difference between the center of the sphere and its surface? a. (1/8πε0)Q
b. (1/8πε0)Qa^2
c. (1/8πε0)Qa
d. (1/8πε0)Q/a
e. (1/8πε0) Q/a^2

d. (1/8πε0)Q/a

Explanation:

The potential difference

Suppose we separate the quantity which is dimensionally and equally the same as . Then, we will have and as the same dimension.

Therefore, the correct option is:

d. (1/8πε0)Q/a

answer; ///i believe that the correct answer is (45*) at a 45 degree check first good

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west