Find the electric potential

[shinobi12]

Homework Statement

(a) Find the electric potential at a distance of 1.00 cm from a proton. (b) what is the potential difference between two points that are 1.00 cm and 2.00 cm from a proton?

Homework Equations

I know delta V has to be set equal to something but I am not sure what

The Attempt at a Solution

Im not certain of the method to go about this problem. Please Help.

 

[alphysicist]

Hi shinobi12,

Homework Statement

(a) Find the electric potential at a distance of 1.00 cm from a proton. (b) what is the potential difference between two points that are 1.00 cm and 2.00 cm from a proton?


2. Homework Equations

What is the formula for the electric potential of a point charge?

 

[baba89]

I would approach this problem by first understanding the concepts of electric potential and potential difference. Electric potential is a measure of the electric potential energy per unit charge at a given point in an electric field. It is usually denoted by the symbol V and is measured in volts (V). Potential difference, also known as voltage, is the difference in electric potential between two points in an electric field.

To find the electric potential at a distance of 1.00 cm from a proton, we can use the equation V = kQ/r, where k is the Coulomb's constant, Q is the charge of the proton, and r is the distance from the proton. Plugging in the values, we get V = (9 x 10^9 Nm^2/C^2) x (1.6 x 10^-19 C) / (0.01 m) = 1.44 x 10^7 V. This means that at a distance of 1.00 cm from the proton, the electric potential is 1.44 x 10^7 V.

To find the potential difference between two points that are 1.00 cm and 2.00 cm from a proton, we can use the equation ΔV = V2 - V1, where V2 is the electric potential at the second point and V1 is the electric potential at the first point. Using the values we calculated earlier, we get ΔV = (1.44 x 10^7 V) - (7.20 x 10^6 V) = 7.20 x 10^6 V. This means that the potential difference between the two points is 7.20 x 10^6 V.

In summary, to find the electric potential and potential difference for a proton at a given distance, we can use the equations V = kQ/r and ΔV = V2 - V1, respectively. These equations are derived from the basic principles of electrostatics and Coulomb's law. I hope this helps in solving the problem.