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Basic Circuit Analysis
Combination Series-Parallel Circuits

Section 3-3 Voltage in Combination Circuits


 

Procedure

Given the value of VT and the three resistors, determine:
RT, IT
IR1,VR1
VR2,VR3
IR2, IR3

1. Find the total resistance

RT = R1 + (R2 || R3)

2. Determine the total current Ohm's Law

IT =

VT  
RT

3. Find the current through R1 (same as IT)

IR1 = IT

4. Determine the voltage across R1 Ohm's Law

VR1 = IR1R1

5. Determine the voltage across R2 Kirchhoff's Voltage Law

VR2 = VT VR1

6. Find the voltage across R3 -- Property of parallel resistors

VR3 = VR2

7. Determine the current through R2 Ohm's Law

IR2 =

VR2  
R2

8. Determine the current through R3 Kirchhoff's Current Law

IR3 = IR1 IR2

 

 

Procedure

Given the value of VT and the four resistors, determine:
RT, IT
IR1,VR1
IR2,VR2
IR3, VR3
IR4, VR4

1. Calculate the total Resistance

RT = R1 || R2 + R3 || R4

2. Determine the total current Ohm's Law

IT =

VT  
RT

3. Determine the voltage across R1 Ohm's Law

VR1 = IT(R1 || R2)

4. VR2 = VR1 -- Property of parallel resistors

5. Determine the current for R1

IR1 =

VR1  
R1

6. Determine the current for R2 Kirchhoff's Current Law

IR2 = IT - IR1

7. Determine the voltage across R3 Kirchhoff's Voltage Law

VR3 = VT -VR1

8. Determine the voltage acrossR4  Property of parallel resistors

VR4 = VR3

9. Calculate the current for R3 -- Ohm's Law

IR3 =

VR3  
R3

10. Determine the current for R4 Kirchhoff's Current Law

IR4 = IT - IR3

 

 

 

 

Procedure

Given the value of VT and the three resistors, determine:
RT, IT
IR1,VR1
IR2,VR2
IR3, VR3

 

 

 

Procedure

Given the value of VT and the four resistors, determine:
RT, IT
IR1,VR1
IR2,VR2
IR3, VR3
IR4, VR4

 

 

 

 

Procedure

Given the value of VT and the four resistors, determine:
RT, IT
IR1,VR1
IR2,VR2
IR3, VR3
IR4, VR4

 

 

 

 

 

 

 

David L. Heiserman, Editor

Copyright   SweetHaven Publishing Services
All Rights Reserved

Revised: June 06, 2015