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Electric Field Calculator

Electric Field Equation:

\[ E = \frac{k \cdot q}{r^2} \]

C
m
N·m²/C²

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1. What is the Electric Field Equation?

The electric field equation \( E = \frac{k \cdot q}{r^2} \) calculates the electric field strength at a point in space due to a point charge. It represents the force per unit charge experienced by a test charge placed at that point.

2. How Does the Calculator Work?

The calculator uses the electric field equation:

\[ E = \frac{k \cdot q}{r^2} \]

Where:

Explanation: The equation shows that electric field strength is directly proportional to the charge and inversely proportional to the square of the distance from the charge.

3. Importance of Electric Field Calculation

Details: Electric field calculations are fundamental in electromagnetism, helping understand how charges interact, design electrical systems, and analyze electromagnetic phenomena in various applications.

4. Using the Calculator

Tips: Enter the charge value in Coulombs and distance in meters. Distance must be greater than zero. The calculator uses Coulomb's constant value of 8.99×10^9 N·m²/C².

5. Frequently Asked Questions (FAQ)

Q1: What is Coulomb's constant?
A: Coulomb's constant (k) is approximately 8.99×10^9 N·m²/C² and represents the proportionality constant in Coulomb's law.

Q2: Does the equation work for both positive and negative charges?
A: Yes, the magnitude calculation is the same. The direction (sign) indicates whether the field points away from (positive) or toward (negative) the charge.

Q3: What are typical electric field values?
A: Electric field strengths vary widely - from few N/C in weak fields to millions of N/C in strong fields near charged objects.

Q4: Can this calculator handle multiple charges?
A: This calculator is designed for single point charges. For multiple charges, vector addition of individual fields is required.

Q5: What units should I use?
A: Use Coulombs for charge and meters for distance to get results in Newtons per Coulomb (N/C).

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