Question

An unknown charge sits on a conducting solid sphere of radius 13 cm. If the electric field 21 cm from the center of the sphere has magnitude 3.7 × 103 N/C and is directed radially inward, what is the net charge on the sphere?

Answer 1

Charge on the sphere will be equal to
`q=1.81* 10^(-8)C`

Step-by-step explanation:

We have given radius of the sphere a = 13 cm

And electric filed 21 cm from the center is
`3.7* 10^3N/C`

So distance from the center r = 21 cm

We have to find the charge on the sphere

As
`r> a`

So according to Gauss law electric field is equal to

`E=(1)/(4\pi \epsilon _0)(q)/(r^2)`

So
`3.7* 10^3=9* 10^9* (q)/(0.21^2)`

`q=1.81* 10^(-8)C`

So charge on the sphere will be equal to
`q=1.81* 10^(-8)C`