Field Strength to Power Density Calculator
Definition
- Field Strength (E): The measure of the force exerted by an electric field on a charged particle, typically measured in volts per meter (V/m).
- Significance: Important in electromagnetics for describing the intensity of an electric field and determining the power density of the field.
Example
Let's say the field strength (E) is 100 V/m and the impedance of free space (Z) is 377 Ω. Using the formula:
\[
S = \frac{100^2}{2 \times 377} \approx 13.27
\]
So, the Power Density (S) is approximately 13.27 W/m².
Extended information about "Field-Strength-to-Power-Density-Calculator"
Power Density Formula (Electric Field)
Definition: Power density is the amount of power (time rate of energy transfer) per unit volume.
Formula: \( S = \frac{E^2}{Z} \)
- \( S \): Power density (W/m²)
- \( E \): Electric field strength (V/m)
- \( Z \): Impedance of the medium (Ω)
Example: \( S = \frac{100^2}{377} \)
- \( S \): Power density
- \( E \): 100 V/m
- \( Z \): 377 Ω
Maximum Power Density Formula
Definition: The maximum power density is the highest amount of power per unit area.
Formula: \( S_{max} = \frac{P_{max}}{A} \)
- \( S_{max} \): Maximum power density (W/m²)
- \( P_{max} \): Maximum power (W)
- \( A \): Area (m²)
Example: \( S_{max} = \frac{500}{2} \)
- \( S_{max} \): Maximum power density
- \( P_{max} \): 500 W
- \( A \): 2 m²
Electric Field Density Formula
Definition: Electric field density is the measure of the electric field strength per unit area.
Formula: \( D = \epsilon E \)
- \( D \): Electric field density (C/m²)
- \( \epsilon \): Permittivity of the medium (F/m)
- \( E \): Electric field strength (V/m)
Example: \( D = 8.85 \times 10^{-12} \cdot 100 \)
- \( D \): Electric field density
- \( \epsilon \): \( 8.85 \times 10^{-12} \) F/m
- \( E \): 100 V/m
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