A 4.40 μC charge is subject to a 6.00 mN force due to an electric field. What is the magnitude of the electric field at the location of the charge? *1 point7.31 kN/C26.4 kN/C1.364 kN/C4.364 kN/C
Question
A 4.40 μC charge is subject to a 6.00 mN force due to an electric field. What is the magnitude of the electric field at the location of the charge? *1 point7.31 kN/C26.4 kN/C1.364 kN/C4.364 kN/C
Solution
The magnitude of an electric field (E) can be calculated using the formula:
E = F/q
where: F is the force (in newtons) and q is the charge (in coulombs).
Given in the problem, we have: F = 6.00 mN = 6.00 x 10^-3 N (since 1 mN = 10^-3 N) q = 4.40 μC = 4.40 x 10^-6 C (since 1 μC = 10^-6 C)
Substituting these values into the formula, we get:
E = (6.00 x 10^-3 N) / (4.40 x 10^-6 C) = 1.364 kN/C
So, the magnitude of the electric field at the location of the charge is 1.364 kN/C.
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