Question

The absolute potential at a distance of 2.0 m from a negative point charge is-100. V. What is the absolute potential 4.0 m away from the same point charge? A)-50. V B) -25. V C)-0.40 kV D)-020 kV E)-0.50 kV

Answer 1

The absolute potential 4.0 m away from the same point charge is -50 V.

(A) is correct option.

Step-by-step explanation:

Given that,

Distance = 2.0 m

Potential = -100 V

Absolute potential = 4.0 m

We need to calculate the charge

Using formula of potential

`V=(kq)/(r)`

Where, V = potential

q = charge

r = distance

Put the value into the formula

`-100=(9*10^(9)* q)/(2.0)`

`q=(200)/(9*10^(9))`

`q=-22.2*10^(-9)\ C`

We need to calculate the potential

Using formula of potential

`V=(9*10^(9)*(-22.2*10^(-9)))/(4.0)`

`V=-49.95\ V`

`V=-50\ V`

Hence, The absolute potential 4.0 m away from the same point charge is -50 V.