Spectrobolometer: Blackbody Spectrum & Wheatstone Bridge

Furnace Temperature (T) 1550 K

800 K 2200 K

Theoretical Wien Peak: λ_max ≈ 1870 nm (1.87 μm)

Monochromator Slit Position (λ)

200 nm

200 nm 3400 nm

Drag slider forward to integrate area; drag backward to erase.

Detected Peak (λ_max): -- (Scan past peak first)

Total Area under Curve (∫I_G): 0.00 a.u. (∝ T⁴)

Active Arm (R_bolo): 50.000 Ω

Bridge Output (V_D - V_B): 0.000 mV

Galvanometer Deflection (I_G): 0.00 μA

Peak emission shifts inversely with absolute temperature:

λ max = b T = 2.89777 \times 10 6 nm\cdotK T

Derived from Planck's distribution at the maximum: ∂E(λ, T)/∂λ = 0.

Calculated via numerical integration (Composite Trapezoidal Rule):

Area = \int I G (λ) dλ \approx \sum [I G (λ i) + I G (λ i+1) 2] \cdot Δ λ \propto T 4

Total emitted radiant energy equals the area under the full curve across all wavelengths.