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How to Calculate Magnitude of Electric Field

Electric Field Magnitude Formula:

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

N·m²/C²
C
m

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1. What is Electric Field Magnitude?

The magnitude of an electric field represents the strength of the electric force per unit charge at a point in space. It describes how strongly a charged particle would be affected by the electric field at that location.

2. How Does the Calculator Work?

The calculator uses the electric field magnitude formula:

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

Where:

Explanation: The formula calculates the electric field strength produced by a point charge at a specific distance, following Coulomb's law principles.

3. Importance of Electric Field Calculation

Details: Calculating electric field magnitude is essential for understanding electromagnetic phenomena, designing electrical systems, and analyzing charged particle behavior in various fields including electronics, physics research, and engineering applications.

4. Using the Calculator

Tips: Enter Coulomb's constant in N·m²/C², charge in Coulombs, and distance in meters. All values must be positive and non-zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is Coulomb's constant?
A: Coulomb's constant (k) is approximately 8.99 × 10⁹ N·m²/C² and represents the proportionality constant in Coulomb's law.

Q2: Does the formula work for negative charges?
A: Yes, but the electric field direction would be opposite. The magnitude calculation remains the same regardless of charge sign.

Q3: What are typical electric field magnitudes?
A: Electric fields range from very weak (a few N/C) to extremely strong (millions of N/C) depending on the charge and distance.

Q4: When is this formula not applicable?
A: This formula is for point charges. For continuous charge distributions or complex geometries, integration or more advanced methods are needed.

Q5: How does distance affect electric field strength?
A: Electric field strength decreases with the square of the distance from the source charge (inverse square law relationship).

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