Comment
The only reason you can do this is that the charges are the same. If they were not, the problem would not be possible.
Equation
The field equation is, in its simplest form,
E = kq/r^2
So each of the charges are pulling / pushing in the same direction. The equation becomes.
kq/r^2 - (-kq/r^2) = Field magnitude in N/C
Givens
- K = 9 * 10^9 N m^2 / c^2
- E = 45 N/C
- r = 7.5/2 = 3.75 cm * ( 1 m / 100 cm) = 0.0375 m
- Find Q
Solution
k*q/0.0375 ^2 - (-kq/0.0375^2) = 45 N/C Combine
2*k*q / 0.0375^2 = 45 N/C Divide by 2
kq /(0.0375^2) = 22.5 N/C Multiply by 0.0375^2
kq = 22.5 * 0.0375 ^2 Find d^2
kq = 22.5 * 0.001406 Combine
kq = 0.03164 N/C * m^2 Divide by k
q = 0.03164 N * m^2 /C / 9*10^9 N m^2 / c^2
q = 2.84760 * 10 ^8 C
I've left the cancellation of the units for you. Notice that only 1 C is left and it is in the numerator as it should be.
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Answer:
I believe it is False.
Explanation:
Hope my answer has helped you!