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Electric Field Calculator

The calculator will determine the electric field generated by a system or point charge, displaying step-by-step calculations

Electric Field of a:

To Calculate:

Relative permitivitty:

Distance

μC ▾

Charge

nm ▾

Electric Field

N/C

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Electric Field Calculator

This free electric field calculator helps you determine the electric field produced by a single point charge or a system of charges. In this guide, we explain key concepts of electric fields and provide a step-by-step approach to using the calculator.

What Is An Electric Field?

“An electric field is a region around a charged particle where a force is exerted on other charges placed within the field.”

Electric Field of Positive Charges

The electric field generated by a positive charge always extends outward from the charge.

Positive Charge Electric Field

Electric Field of Negative Charges

The electric field lines of a negative charge always point inward, toward the charged particle.

Negative Charge Electric Field

Net Electric Field Equation

The strength of an electric field can be calculated using these formulas:

For a Single Point Charge:
E = k * Q / r²

For Two Point Charges:
E = k * |Q₁ * Q₂| / r²

Where:

E = Electric field intensity at a point
k = Coulomb's constant, k = 8.98 × 10⁹ N·m²/C²
r = Distance between the charge and the point of observation
Q₁, Q₂ = Magnitudes of the charges

Electric Field Properties

Electric field lines never intersect
Field lines are always perpendicular to a charged surface
Field strength is proportional to the magnitude of the charge
More field lines indicate a stronger field, fewer lines indicate a weaker field

Example: Calculating Electric Field Magnitude

Determine the magnitude of the electric field produced by a charge of 3 × 10⁻⁶ C at a distance of 1 meter.

Solution:

Using the formula: E = k * Q / r²

E = (8.98 × 10⁹) * (3 × 10⁻⁶) / (1)²
E = 26.94 × 10³ N/C
E = 2.694 × 10⁴ N/C

You can also verify this result using the free electric field calculator. Measuring electric fields helps manage appliance power consumption and reduce electricity costs using tools like the electricity cost calculator.

How the Electric Field Calculator Works

Input:

Select "single point charge" or "system of charges"
For single point charge, choose whether to calculate E, distance, or charge
Enter relative permittivity and other parameters
For system of charges, enter relative permittivity and all required values
Click "Calculate"

Output:

Electric field due to a single charge
Electric field between two charges
Distance from the source charge
Charge responsible for creating the electric field

FAQs

What is the difference between electric field and electric force?

An electric field exists in a region around a charge and influences other charges. Electric force arises because of this field.

What is an electrostatic field?

An electric field generated by a stationary charge is called an electrostatic field.

Why is the electric field inside a conductor zero?

Excess charges reside on the conductor's surface, leaving the interior field-free.

Why can’t electric field lines intersect?

Intersection would imply two directions of the field at the same point, which is impossible.

Can electric fields pass through insulators?

Yes, they polarize bound charges, allowing the field to propagate through the insulator.

Where is the electric field zero?

On the line between two charges, closer to the smaller charge, the field cancels out.

What is an equipotential surface?

A surface where electric potential is the same at every point; no work is needed to move a charge along it.

What is a uniform electric field?

A field that has the same magnitude and direction everywhere.

What is a radial field?

A field where lines radiate outward or inward from a point or spherical charge.

Do electric field lines end?

Yes, they originate from positive charges and terminate on negative charges.

Conclusion

Electric fields are everywhere—from appliances to phones. Using an online electric field calculator allows accurate measurement of field intensity, current, and voltage, making it an essential tool for engineers and students.

References

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