An electric circuit is described by the following equation: d’u du +k+o°u= au, dt di? where t is time in seconds, and w, k, and a are positive constant parameters. a) Assuming that u is the voltage in Volts, find the physical dimensions of the constants k, w, and a in the SI system using the rule of dimension homogeneity. b) Present this equation in the form of the energy balance equation. Find the total instantaneous energy of the circuit E and the dissipative function F.
An electric circuit is described by the following equation: d’u du +k+o°u= au, dt di? where t is time in seconds, and w, k, and a are positive constant parameters. a) Assuming that u is the voltage in Volts, find the physical dimensions of the constants k, w, and a in the SI system using the rule of dimension homogeneity. b) Present this equation in the form of the energy balance equation. Find the total instantaneous energy of the circuit E and the dissipative function F.
Related questions
Question
Transcribed Image Text:An electric circuit is described by the following equation:
d’u
du
+k+o°u= au,
dt
di?
where t is time in seconds, and w, k, and a are positive constant parameters.
a)
Assuming that u is the voltage in Volts, find the physical dimensions of the
constants k, w, and a in the SI system using the rule of dimension homogeneity.
b)
Present this equation in the form of the energy balance equation. Find the total
instantaneous energy of the circuit E and the dissipative function F.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 6 images
