Relationship to Thermodynamics 4. An electrical resistor is connected to a battery, as shown schematically. After a brief transient, the resistor assumes a nearly uniform, steady-state temperature of 95 °C, while the battery and lead wires remain at the ambient temperature of 25 °C. Neglect the electrical resistance of the lead wires Battery V=24 V Resistor Air T.-250 Lead wire (a) Consider the resistor as a system about which a control surface is placed and Equation 1.12c is applied. Determine the corresponding values of Ein(W), ), E₂(W),

Elements Of Electromagnetics
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Relationship to Thermodynamics
4. An electrical resistor is connected to a battery, as shown schematically. After a
brief transient, the resistor assumes a nearly uniform, steady-state temperature
of 95 °C, while the battery and lead wires remain at the ambient temperature of
25 °C. Neglect the electrical resistance of the lead wires
Battery
V=24 V
Resistor
dEst
dt
Air
T. = 25C
Lead wire
(a) Consider the resistor as a system about which a control surface is placed and
Equation 1.12c is applied. Determine the corresponding values of Ein(W), Eg(W),
Eout (W), and Est(W). If a control surface is placed about the entire system, what are the
values of in, Eg, Eout, and Est?
(1.12c)
Est
Ein - Eout + Eg
(b) If electrical energy is dissipated uniformly with in the resistor, which is a cylinder of
diameter D= 60 mm and length L=250 mm, what is the volumetric heat generation
rate, (W/m3)?
(c) Neglecting radiation from the resistor, what is the convection coefficient?
Transcribed Image Text:Relationship to Thermodynamics 4. An electrical resistor is connected to a battery, as shown schematically. After a brief transient, the resistor assumes a nearly uniform, steady-state temperature of 95 °C, while the battery and lead wires remain at the ambient temperature of 25 °C. Neglect the electrical resistance of the lead wires Battery V=24 V Resistor dEst dt Air T. = 25C Lead wire (a) Consider the resistor as a system about which a control surface is placed and Equation 1.12c is applied. Determine the corresponding values of Ein(W), Eg(W), Eout (W), and Est(W). If a control surface is placed about the entire system, what are the values of in, Eg, Eout, and Est? (1.12c) Est Ein - Eout + Eg (b) If electrical energy is dissipated uniformly with in the resistor, which is a cylinder of diameter D= 60 mm and length L=250 mm, what is the volumetric heat generation rate, (W/m3)? (c) Neglecting radiation from the resistor, what is the convection coefficient?
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