The average intensity a distance d₁ = 1.6 m from an omni-directional light bulb is 1 = 1.3 W/m². (a) Write a symbolic expression for the intensity a distance d₂ = 2.5 m from the same bulb, in terms of ₁, d₁ and d2, and calculate its numeric value. ₂: (b) Calculate the maximum output power of the light bulb. Pmax = W/m² (Don't worry about the font -- use 11 for ₁.) W

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The average intensity a distance d₁ = 1.6 m from an omni-directional light bulb is l₁ = 1.3 W/m².
(a) Write a symbolic expression for the intensity a distance d₂ = 2.5 m from the same bulb,
in terms of ₁, d₁ and d₂, and calculate its numeric value.
1,
₂
W/m² (Don't worry about the font -- use 11 for 1.)
(b) Calculate the maximum output power of the light bulb.
Pmax =
W
Transcribed Image Text:The average intensity a distance d₁ = 1.6 m from an omni-directional light bulb is l₁ = 1.3 W/m². (a) Write a symbolic expression for the intensity a distance d₂ = 2.5 m from the same bulb, in terms of ₁, d₁ and d₂, and calculate its numeric value. 1, ₂ W/m² (Don't worry about the font -- use 11 for 1.) (b) Calculate the maximum output power of the light bulb. Pmax = W
EM waves, like all other waves, are generated a source. The power of a source measures the rate that it radiates EM energy. The energy spreads
outward as the wave carries it away from the source so the amount crossing a given area decreases with distance.
The intensity at a given point measures the rate per unit area
that EM energy is being transported to that point (i.e. received).
Intensity = Source Power/Surface Area
The surface area takes into account the specific details of how
energy spreads outward as it radiates away from the source.
A light source that radiates uniformly in all directions like the
one shown in the figure is called isotropic or omni-directional.
The energy is spread uniformly across spherical surfaces that
are centered on the source so the intensity, , a distance, d,
from an isotropic source that with power, P, is given by:
Il
=
P
4zd²
Observation
Point
Surface Area = 4nd²
Transcribed Image Text:EM waves, like all other waves, are generated a source. The power of a source measures the rate that it radiates EM energy. The energy spreads outward as the wave carries it away from the source so the amount crossing a given area decreases with distance. The intensity at a given point measures the rate per unit area that EM energy is being transported to that point (i.e. received). Intensity = Source Power/Surface Area The surface area takes into account the specific details of how energy spreads outward as it radiates away from the source. A light source that radiates uniformly in all directions like the one shown in the figure is called isotropic or omni-directional. The energy is spread uniformly across spherical surfaces that are centered on the source so the intensity, , a distance, d, from an isotropic source that with power, P, is given by: Il = P 4zd² Observation Point Surface Area = 4nd²
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