Electric Field Calculator 3 Charges

Electric Field Equation:

\[ E_{total} = \sum E_i = k \sum \frac{q_i}{r_i^2} \]

Charge 1

Charge (q1):

Distance (r1):

Charge 2

Charge (q2):

Distance (r2):

Charge 3

Charge (q3):

Distance (r3):

Electric Field from Charge 1 (E1):

Electric Field from Charge 2 (E2):

Electric Field from Charge 3 (E3):

Total Electric Field (E_total):

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1. What is the Electric Field Calculator?

The Electric Field Calculator computes the total electric field at a point due to multiple point charges using Coulomb's Law. It calculates both individual contributions and the vector sum of electric fields.

2. How Does the Calculator Work?

The calculator uses the electric field equation:

\[ E_{total} = \sum E_i = k \sum \frac{q_i}{r_i^2} \]

Where:

\( E_{total} \) — Total electric field (V/m)
\( E_i \) — Electric field from charge i (V/m)
\( k \) — Coulomb's constant (8.988×10⁹ N·m²/C²)
\( q_i \) — Point charge (C)
\( r_i \) — Distance from charge i to point (m)

Explanation: The calculator sums the electric field contributions from each charge, where each field is proportional to the charge and inversely proportional to the square of the distance.

3. Importance of Electric Field Calculation

Details: Calculating electric fields is fundamental in electromagnetism, helping understand forces on charges, designing electrical systems, and analyzing charge distributions.

4. Using the Calculator

Tips: Enter charge values in Coulombs (can be positive or negative) and distances in meters. All distance values must be positive. The calculator will compute the magnitude of the electric field.

5. Frequently Asked Questions (FAQ)

Q1: Does this calculator account for direction?
A: This version calculates field magnitudes only. For vector calculations, you would need to specify charge positions and direction.

Q2: What are typical electric field values?
A: Near a point charge, fields can range from a few V/m to millions of V/m for very small distances or large charges.

Q3: Can I use this for more than 3 charges?
A: This calculator is designed for 3 charges. For more charges, you would need to sum additional terms.

Q4: What about continuous charge distributions?
A: This calculator is for point charges only. Continuous distributions require integration over the charge density.

Q5: How accurate is this calculation?
A: The calculation is theoretically exact for point charges in vacuum. Real-world accuracy depends on measurement precision of inputs.