Question

Calculate the electric potential 3mm from a point charge of 16Nc​

Answer 1

The electric potential at a distance of 3mm from the point charge of 16NC is 480 kilovolts (kV).

Step-by-step explanation:

To calculate the electric potential at a distance of 3mm from a point charge of 16NC, we can use the formula:

V = k imes \frac{Q}{r}

where V is the electric potential, k is the electrostatic constant, Q is the charge in Coulombs, and r is the distance. Plugging in the values, we get:

V = (9 imes 10^9 Nm^2/C^2) imes \frac{16 imes 10^{-9} C}{0.003 m}

V = 480000 V = 480 kV

Therefore, the electric potential at a distance of 3mm from the point charge is 480 kilovolts (kV).

Answer 2

`4.8 * 10^8` volts

Step-by-step explanation:

The electric potential due to a point charge is given by

`V= (1)/(4 \pi \varepsilon_(0)) (Q)/(r)`

where Q = charge =
`16 * 10^(-9)` C

r = distance from a point =
`3 * 10^(-3)` m

`\varepsilon_(0)` = permitivity of free space

= 8.85×10^-12 C^2/N-m^2

Plugging in the numbers,

`V = (1)/(4 \pi (8.85 * 10^(-12))) \frac{16 * 10{-9}}{3 * 10^(-3)}`

`= 4.8 * 10^8` volts