Question

A source charge generates an electric field of 4286 N/C at a distance of 2.5 m. What is the magnitude of the source charge?

1.2 µC
3.0 µC
1.2 C
3.0 C

Answer 1

The Answer is 3.0uc. I took the quiz.

Answer 2

Answer : Charge,
`q=3.0\ \muC`

Explanation :

It is given that :

Electric field,
`E=4286\ N/C`

Distance,
`r=2.5\ m`

We know that the electric field at any point is given by :

`E=k(q)/(r^2)`

k is the electrostatic constant.

q is the electric charge

r is the distance.

`q=(E* r^2)/(k)`

`q=(4286\ N/C* (2.5\ m)^2)/(9* 10^9\ Nm^2/C^2)`

`q=0.0000029\ C`

`q=2.9\ \mu C`

or

`q=3.0\ \mu C`

The correct option is (b).

Hence, this is the required solution.