Question

We have an initially uncharged hollow metallic sphere with radius of 5.0 cm. I place a small object with a charge of +20 µC at the center of the sphere through a hole in the surface. Find the electric field present at a point 10 cm from the sphere’s center. ( ke = 8.99 × 10 9 N ⋅m 2/C 2)​

Answer 1

To solve this problem we will apply the concepts related to the electric field formulated by Coulomb in his electromagnetic laws. The electric field could be defined as the product between the Coulomb constant, the charge of the object on the square of the distance that separates them. Mathematically this function is formulated as

`E = (kQ)/(r^2)`

Here,

k = Coulomb's constant

Q = Charge

r = Distance between them

Replacing with our values in SI units we have,

`E = ((8.99 * 10^9 N \cdot m^2/C^2 )(10 * 10^(-6)C))/((0.1m)^2)`

`E = 8.99* 10^6 N/C`

`E = 9 * 10^6 N/C`

Therefore the electric field at a point of 10cm is
`9 * 10^6 N/C`