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What magnitude point charges creates a 10000 N/C electric field at a distance of 0.5 m?

a. 877.2 nC

b. 287.7 nC

c. 277.8 nC

d. 872.7 nC

User Ellery
by
2.4k points

1 Answer

4 votes

Answer:

c. 277.8 nC

Step-by-step explanation:

applying,

E = kq/r²............. Equation 1

Where E = electric field intensity, q = charge, r = distance, k = coulomb's constant.

make q the subject of the equation

q = Er²/k............... Equation 2

From the question,

Given: E = 10000 N/C, r = 0.5 m

Constant: k = 9×10⁹ Nm²/C²

Substitute these values into equation 2

q = (10000×0.5²)/(9×10⁹)

q = 277.8×10⁹

q = 277.8 nC

Hence the right option is c. 277.8 nC

User Glrs
by
3.2k points