2. Write an expression for the energy balance of the atmospheric layer in terms ofTs, Ta, and the other given parameters. Keep your expression algebraic. E = oTs* and E = oTA* P= ɛ0A(Ts* – Tso*) and P= ɛ0A(TA* – TA0*) 3. Combine your answers from questions 1 and 2 to eliminate TA and obtain an expression that solves for Ts. Keep your expression algebraic, and simplify your expression as much as possible.

Elements Of Electromagnetics
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Pls answer q3(as I am still not sure whether or not I did q2 correctly)

2. Write an expression for the energy balance of the atmospheric layer in terms of Ts, TA, and
the other given parameters. Keep your expression algebraic.
E = oTs* and E = oTA*
P=ɛ0A(Ts* – Tso*) and P= ɛ0A(TA* – TAo*)
3. Combine your answers from questions 1 and 2 to eliminate TĄ and obtain an expression
that solves for T3. Keep your expression algebraic, and simplify your expression as much
as possible.
Transcribed Image Text:2. Write an expression for the energy balance of the atmospheric layer in terms of Ts, TA, and the other given parameters. Keep your expression algebraic. E = oTs* and E = oTA* P=ɛ0A(Ts* – Tso*) and P= ɛ0A(TA* – TAo*) 3. Combine your answers from questions 1 and 2 to eliminate TĄ and obtain an expression that solves for T3. Keep your expression algebraic, and simplify your expression as much as possible.
where pw is the density of water and L, = 2.5 x 106 J kg-1 is the latent heat of vaporization for
water vapour. Here, E is assumed to be in units ofms-1. The solar constant is S, = 1362 W m-2,
the Stefan-Boltzmann constant is o = 5.67 x 10-8 W m-2 K-4, and the planetary albedo is taken
to be a = 0.29. For all questions below, assume that the Earth system is in a steady-state, which
implies that the Earth system is in thermal equilibrium.
*(1– ap)
Atmospheric layer
FLH
oT
Earth's surface
1. Write an expression for the energy balance of the surface in terms of Ts, TA and the other
given parameters. Keep your expression algebraic, using the notation given above.
E= (1 – a)+ ɛoTA-FHL-OTs*
%3D
1362W m-2
E =
)(1 – 0.29)+ (0.9 )(5.67 × 10-8 W m-² K¯4)T^*- (55 W m-2)
(5.67 x 10-8 W m-² K-4)Ts*
E = (241.755) W m-2 + (5.1 x 10-8)TA- (3. 118 × 10-6)Tsʻ
Transcribed Image Text:where pw is the density of water and L, = 2.5 x 106 J kg-1 is the latent heat of vaporization for water vapour. Here, E is assumed to be in units ofms-1. The solar constant is S, = 1362 W m-2, the Stefan-Boltzmann constant is o = 5.67 x 10-8 W m-2 K-4, and the planetary albedo is taken to be a = 0.29. For all questions below, assume that the Earth system is in a steady-state, which implies that the Earth system is in thermal equilibrium. *(1– ap) Atmospheric layer FLH oT Earth's surface 1. Write an expression for the energy balance of the surface in terms of Ts, TA and the other given parameters. Keep your expression algebraic, using the notation given above. E= (1 – a)+ ɛoTA-FHL-OTs* %3D 1362W m-2 E = )(1 – 0.29)+ (0.9 )(5.67 × 10-8 W m-² K¯4)T^*- (55 W m-2) (5.67 x 10-8 W m-² K-4)Ts* E = (241.755) W m-2 + (5.1 x 10-8)TA- (3. 118 × 10-6)Tsʻ
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