bm42400
contestada

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

Respuesta :

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  


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

[tex] E=\frac {kQ}{R^2} [/tex]

Where, k[tex]=[/tex] Columb's Constant [tex] =8.99\times 10^9 Nm^2C^-2 [/tex]

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 :

[tex] Q=\frac {ER^2}{k} [/tex]

Putting the values we get

[tex] Q = \frac {1236\times 4^2}{8.99\times 10^9} [/tex]

On solving

[tex] Q = \frac {2199.77}{10^9} =2.19 \times 10^-6 =2.2[/tex] µC

Therefore the magnitude of source charge is 2.2 µC