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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?

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?

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Solution

The magnitude of the electric field (E) can be calculated using the formula:

E = F/q

where: F is the force = 6.00 mN = 6.00 x 10^-3 N (since 1mN = 10^-3 N) q is the charge = 4.40 μC = 4.40 x 10^-6 C (since 1μC = 10^-6 C)

Substituting the values into the formula, we get:

E = (6.00 x 10^-3 N) / (4.40 x 10^-6 C)

Solving this gives:

E = 1.36 x 10^3 N/C

So, the magnitude of the electric field at the location of the charge is 1.36 x 10^3 N/C.

This problem has been solved

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