What is the magnitude of a point charge that would create an electric field of 35x103 N/C at point 0.3m away from the source charge?Group of answer choices3.5x10^-7 N/C3.5x10^-7 uC3.5x10^-7 C77x10^3 C
Question
What is the magnitude of a point charge that would create an electric field of 35x103 N/C at point 0.3m away from the source charge?Group of answer choices3.5x10^-7 N/C3.5x10^-7 uC3.5x10^-7 C77x10^3 C
Solution
The magnitude of the point charge can be calculated using Coulomb's Law, which states that the electric field (E) is equal to the Coulomb constant (k) times the charge (q) divided by the distance squared (r^2).
The formula is: E = k*q/r^2
We can rearrange this formula to solve for q (the charge), which gives us: q = E*r^2/k
Given that E = 35x10^3 N/C, r = 0.3m, and k = 8.99x10^9 N*m^2/C^2, we can substitute these values into the formula:
q = (35x10^3 N/C) * (0.3m)^2 / (8.99x10^9 N*m^2/C^2)
This simplifies to:
q = 3.5x10^-7 C
So, the magnitude of the point charge that would create an electric field of 35x10^3 N/C at a point 0.3m away from the source charge is 3.5x10^-7 C.
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