In (Figure 1), the charge q = 3.07 times 10^-9 C Find the value of x between -1.
ID: 1537548 • Letter: I
Question
In (Figure 1), the charge q = 3.07 times 10^-9 C Find the value of x between -1.00 m and 0 where the electric potential is zero. Express your answer to three significant figures and include appropriate units. At values of x to the left of -1.00 m, do you expect the electric potential to be greater than, less than, or equal to zero? Greater than zero Less than zero Equal to zero Calculate the electric potential at x -2.00 m. Express your answer to three significant figures and Include appropriate units.Explanation / Answer
Given
charge q = 3.07*10^-9 C
-2q +5q
-1.00m-------------0m-------------1.00m
potential is V = kq/r
V2q_x = 9*10^9*(-2*3.07*10^-9)/x
V5q_x = 9*10^9*(5*3.07*10^-9)/(1-x)
given at x , potential is zero
9*10^9*(5*3.07*10^-9)/(1-x) + 9*10^9*(-2*3.07*10^-9)/x = 0
(5*3.07*10^-9)/(1-x) = (2*3.07*10^-9)/x
solving for x
x = 0.2857 m
PArt B
for x= 0.2857 m to the left of -1 m the potential will be greater than zero
9*10^9*(5*3.07*10^-9)/(2.2857) + 9*10^9*(-2*3.07*10^-9)/(1.2857) =17.4605251954054 V
Partc
potential at x =-2 m
9*10^9*(5*3.07*10^-9)/(3) + 9*10^9*(-2*3.07*10^-9)/(2) V= 18.42 V