Voltage and current calculation on a mixed circuit

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SUMMARY

The discussion focuses on calculating voltage and current in a mixed circuit involving resistors R1 (22 ohm), R2 (39 ohm), R3 (82 ohm), R4 (100 ohm), and R5 (10 ohm) with a voltage supply of 2 volts. When the switch is open, the current through R1 and R4 is calculated as 0.016 A, leading to a voltage drop of 0.361 volts across R1. The user seeks guidance on calculating current and voltage when the switch is closed, with suggestions to utilize Delta-Wye transformations and Kirchhoff's Current Law (KCL) equations for solving the circuit.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Knowledge of series and parallel resistor combinations
  • Familiarity with Delta-Wye transformations
  • Ability to apply Kirchhoff's Current Law (KCL)
NEXT STEPS
  • Study Delta-Wye transformations for circuit analysis
  • Learn to write and solve Kirchhoff's Current Law (KCL) equations
  • Practice calculating voltage and current in mixed circuits
  • Explore advanced circuit analysis techniques using simulation tools
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Electrical engineering students, circuit designers, and anyone involved in analyzing mixed circuits and applying circuit laws for voltage and current calculations.

sylvarant
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Homework Statement


I have the following circuit
http://informatici.vankeer.eu/files/2/Untitled.png

R1 = 22 ohm, R2 = 39, R3 = 82, R4 = 100,R5 = 10
and V = 2volt

I'm asked to calculate the voltage and current over de resistors

when the switch is open and when the switch is closed

Homework Equations


when 2 resistors form a combination the current is the same and V = IR

when 2 resistors are in parallell there voltages are the same and Ii = V/Ri


The Attempt at a Solution


well when the switch is open I obtain the following
the resistors R1 and R4 form a combination and so do R2 and R3 the voltage remains equal for both combinations so we can easily calculate the current
I1=I4 = 2v/(22+100)ohm = 0.016 A
now we find the voltage over both resistors
V1= 0.016 * 22 = 0.361 Volt
v4 = 0.016 * 100
Same way for I2 and I3

But I'm stuck when the switch is closed how do I calculate the current and voltage then ?
 
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It might be well to read up on "Delta-Wye" transformations.
 
sylvarant said:
But I'm stuck when the switch is closed how do I calculate the current and voltage then ?


Have you learned how to write KCL equations yet? Write the two KCL equations for the left and right nodes, and solve for the two unknowns V(left node) and V(right node).
 

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