Question

A source charge generates an electric field of 1236 N/C at a distance of 4 m. What is the magnitude of the source charge?

A) 2.2 µC
B) 680 µC
C) 2.2 C
D) 680 C

Answer 1

If a source generates an electric field of 1236 N/C at a distance of 4 m, the magnitude of the source charge is: A) 2.2 µC

Answer 2

We know that the relationship between Electric Field , Charge and Distance is given by :

`E=\frac {kQ}{R^2}`

Where, k
`=` Columb's Constant
`=8.99* 10^9 Nm^2C^-2`

Q= Source charge that generates the electric field

R = Distance from the charge =4m

E=Electric field = 1236N/C

As, we have to find the charge therefore rearranging the formula we get :

`Q=\frac {ER^2}{k}`

Putting the values we get

`Q = \frac {1236* 4^2}{8.99* 10^9}`

On solving

`Q = \frac {2199.77}{10^9} =2.19 * 10^-6 =2.2` µC

Therefore the magnitude of source charge is 2.2 µC