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Homework Statement
Homework Equations
Thevenin theorem
The Attempt at a Solution
##R_{60+180}=240##
##R_{80||240}=\frac{240*80}{240+80}=60##
##R_{total}=60+20=80##
##=\frac{480}{80000}=0.006A##
How should I proceed?
Sorry, fixed the current.phyzguy said:I think you are a factor of 10 off, otherwise what you have done is OK to find i. Your next step is to find v0. How much current is flowing through the 180 KOhm resistor?
##R_{80}## gets 0.0045A so ##R_{60+180}## gets 0.0015A therefore it is 360V?phyzguy said:It only splits once. How much of the total current i goes through the 80 KOhm resistor, and how much through the 60 KOhm + 180 KOhm series combination?
##V_{60}=0.0015*60000=90## so ##V_0=480-90-120=270v##?phyzguy said:The 0.0015A is right. Given this, what is v0?
Isnt that right mates?Grim Arrow said:Since both currents unite at the 20k resistor, then u got 240k.80k/320k + 20k= 80000ohms V/Rtotal= 0.006amps net current. From there on u get that 120volts fall at the 20k resistior, and the current through the 60k+180k branch is 0.0015amps. From there the rest current sjould be 0.0045amps
The Thevenin Theorem is a fundamental concept in circuit analysis that states that any linear circuit consisting of voltage and current sources and resistors can be replaced by a single voltage source in series with a single resistor.
To find the Thevenin equivalent circuit, you must first remove the load resistor from the original circuit. Then, calculate the open-circuit voltage by finding the voltage across the load resistor using a test voltage source. Next, calculate the equivalent resistance by finding the resistance seen by the test voltage source. Finally, the Thevenin equivalent circuit is the calculated open-circuit voltage in series with the calculated equivalent resistance.
The Thevenin Theorem simplifies circuit analysis by reducing a complex circuit to a single voltage source and resistor. This makes it easier to calculate the voltage and current at any point in the circuit. It also allows for easier circuit troubleshooting and design.
The Thevenin Theorem is most useful when analyzing circuits with multiple components, especially those with many resistors in series or parallel. It is also helpful when designing circuits, as it allows for easier calculation of component values.
The Thevenin Theorem is used extensively in the design and analysis of electronic circuits, including power supplies, amplifiers, and communication systems. It is also used in troubleshooting circuits and determining the maximum power transfer between components.