Radiation Energy Emitted By Black Body In Time Interval Given Emissive Power Calculator

Radiation Energy Formula:

\[ E = E_b \times SA \times N \]

Emissive Power of Black Body (Eb):

W/m²

Surface Area (SA):

m²

Time Interval from the Peak (N):

Energy (E):

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1. What is Radiation Energy?

Radiation energy refers to the energy emitted by a black body in the form of electromagnetic radiation. The emissive power of a black body represents the total amount of thermal energy emitted per unit area per unit time for all possible wavelengths.

2. How Does the Calculator Work?

The calculator uses the radiation energy formula:

\[ E = E_b \times SA \times N \]

Where:

\( E \) — Energy emitted (Joules)
\( E_b \) — Emissive power of black body (W/m²)
\( SA \) — Surface area (m²)
\( N \) — Time interval from the peak (seconds)

Explanation: The formula calculates the total energy emitted by multiplying the emissive power per unit area by the total surface area and the time duration.

3. Importance of Radiation Energy Calculation

Details: Calculating radiation energy is crucial for thermal analysis, heat transfer studies, energy balance calculations, and designing thermal systems in various engineering applications.

4. Using the Calculator

Tips: Enter emissive power in W/m², surface area in m², and time interval in seconds. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a black body in physics?
A: A black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence.

Q2: How does emissive power relate to temperature?
A: According to Stefan-Boltzmann law, the emissive power of a black body is proportional to the fourth power of its absolute temperature (\(E_b = \sigma T^4\)).

Q3: What are typical units for radiation energy calculations?
A: Energy is measured in Joules (J), emissive power in Watts per square meter (W/m²), surface area in square meters (m²), and time in seconds (s).

Q4: Can this formula be used for non-black bodies?
A: For real surfaces (non-black bodies), the formula needs to be modified by including the emissivity factor (\(E = \epsilon \times E_b \times SA \times N\)).

Q5: What practical applications use this calculation?
A: This calculation is used in solar energy systems, thermal imaging, furnace design, building heat loss calculations, and various thermal engineering applications.