How Does a Calor Engine Power a 200V Generator at Different RPMs?

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SUMMARY

A calor engine operating on a cycle of two isobaric and two isochoric processes is utilized to power a 200V generator. Given a load current of 4A, the engine's operational RPM must be determined. The relevant equations include V = NBAw sin(wt) and E = VIt, where the variables represent voltage, magnetic field strength, angular velocity, and current. The solution involves calculating the work produced by one cycle of the heat engine to ascertain the required RPM for the desired power output.

PREREQUISITES
  • Understanding of thermodynamics, specifically heat engine cycles
  • Familiarity with electromagnetic principles, including Faraday's law of induction
  • Knowledge of basic electrical concepts, such as voltage, current, and power
  • Ability to manipulate equations involving angular velocity and energy calculations
NEXT STEPS
  • Study the principles of heat engines and their efficiency calculations
  • Learn about Faraday's law of electromagnetic induction in detail
  • Explore the relationship between power, voltage, and current in electrical circuits
  • Investigate the calculations for angular velocity in rotational systems
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Students preparing for physics exams, educators teaching thermodynamics and electromagnetism, and anyone interested in the practical applications of calor engines in generating electrical power.

wiraimperia
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Homework Statement


Hello, let me introduce myself first. I am Wira, a Senior High School alumnus in Indonesia. I am currently preparing for my university entrance exam. This is a problem which I get stuck in, and can you help me with it?
ISOKHOR.PNG

Indonesian:
Suatu mesin kalor yang bekerja dengan siklus yang dibangun dari dua isobar dan dua isokhor seperti pada gambar di atas digunakan untuk menggerakkan sebuah generator yang tegangan keluarannya 200V. Apabila generator ini mendapat beban arus 4A, maka mesin kalor tersebut dijalankan pada putaran per menit...
A 360 rpm
B 400 rpm
C 440 rpm
D 480 rpm
E 520 rpm
English:
A calor engine that works with the cycle of two isobarics and two isochorics shown in the picture above is used to spin a generator that has the output potential of 200V. If this generator has the current of 4A, then that engine is used in ... rpm
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Homework Equations


V = NBAw sin (wt)
E = V I t
E = The area of the box area in the graph

The Attempt at a Solution


I have tried using:
V = NBAw sin (wt)
Consider that sin (wt) = 1
But we have no data of N and B...
And for the cycle
Energy generated = the area of the box
Energy = Energy
Consider that t = 1
V I t = NBAw sin (wt)
NBAw I = (Box area)
We are looking for the w, so it becomes
w = (Box area)/NBA
I got stuck in this...
Do you have any ideas? Your contribution helps improve me. =)
 
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You are given the voltage and current of the generator, so you know its power. (You can assume that the load is ohmic so current and voltage are in phase.)

Calculate the work produced by one cycle of the heat engine. With how many cycles do you get the desired power?

ehild