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Electric Potential Calculator

The calculator will determine the electric potential and distance between two points based on their cumulative potentials

Electric potential

Distance (q):

C ▾

Distance (q):

cm ▾

Distance (q):

J ▾

No. of point charge:

Electric potential difference (ϵᵣ):

Distance 1 (q₁):

mC ▾

Charge 1 (r₁):

mC ▾

Distance 2 (q₂):

mC ▾

Charge 2 (r₂):

mC ▾

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This up-to-the-minute electric potential calculator calculates the potential at a point due to either a single charge or a system of charges. Not only this, but the calculator will also compute the electric potential between two charges.

What Is Electric Potential?

Electric potential is the amount of work or energy required to move a charge against an electric field.

Electric Potential Formula:

Our calculator uses the following equation to accurately determine the electric potential due to a single point charge:

Electric Potential Due To a Single Charge: \(V = k \dfrac{q}{r}\)

Where:

k = \(\dfrac{1}{4\pi\epsilon_{o}}\)
r = Distance between the point charge and the location where potential is measured
q = Magnitude of the electrostatic charge producing the potential

Remember, the electric potential is directly proportional to the magnitude of the charge. Our electric potential calculator also reflects this: a positive charge produces a positive potential, while a negative charge produces a negative potential.

Electric Potential Due To a System of Charges:

When multiple point charges contribute to the electric potential at a point, each charge adds its contribution. Using the superposition principle, the total potential can be calculated. For example, for four charges:

\(V_1 = k \dfrac{q_1}{r_1}\)

\(V_2 = k \dfrac{q_2}{r_2}\)

\(V_3 = k \dfrac{q_3}{r_3}\)

\(V_4 = k \dfrac{q_4}{r_4}\)

The total electric potential is then:

\(V = V_1 + V_2 + V_3 + V_4\)

Or, in combined form using the superposition principle:

\(V = k \left(\dfrac{q_1}{r_1} + \dfrac{q_2}{r_2} + \dfrac{q_3}{r_3} + \dfrac{q_4}{r_4}\right)\)

Electric Potential Due To a System of n Charges:

\(V = V_1 + V_2 + V_3 + V_4 + ... + V_n\)

\(V = k \left(\dfrac{q_1}{r_1} + \dfrac{q_2}{r_2} + \dfrac{q_3}{r_3} + \dfrac{q_4}{r_4} + ... + \dfrac{q_n}{r_n}\right)\)

How To Calculate Electric Potential Difference?

Suppose we have a charge of \(4*10^{12} C\) and a distance of 2 cm. Here’s how to determine the electric potential:

Solution:

Using the electric potential formula:

\(V = k \dfrac{q}{r}\)

\(V = \dfrac{1}{4\pi \epsilon_{o}} * \dfrac{4*10^{12} C}{0.02 m}\)

\(V = \dfrac{1}{4 * 3.14 * 1} * \dfrac{4000000000000}{0.02}\)

\(V \approx 1.798 * 10^{24} V\)

This is the required electric potential. You can also verify this result by entering the charge and distance values into our online electric potential calculator, which will produce the same result instantly.

Working of Electric Potential Calculator:

Using our electric potential calculator is quick and simple. Here’s how it works:

Input:

Select the type of calculation you want to perform
Enter all required parameters in their respective fields based on your selection
Click Calculate

Output:

Electric potential for a single point charge or a system of point charges
Electric potential difference between two points or charges

Faqs:

Can Electric Potential Be Negative?

Yes! Since electric potential is directly proportional to the charge, a negative charge produces a negative electric potential.

What Is The Electric Potential of a Charge At a Point At Infinity?

The electric potential at infinity is zero because potential decreases with distance from the charge, and at an infinitely far point, the influence of the charge becomes negligible.

What Is 1 Electric Potential?

One unit of electric potential is defined as the electric potential energy per unit charge.

References:

From the source Wikipedia: Electric potential, Electrostatics, Electric potential due to a point charge, Generalization to electrodynamics, Gauge freedom

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