2. Series Resistive Circuits

3. Let’s Review!!!! Current The flow of electrons in a conductive path. I is the symbol for current. Current is measured in Amperes or Amps. A is the symbol for Amps.

4. Let’s Review!!!! Voltage The force that produces a current. V and E are the symbols for voltage. Voltage is measured in Volts. V is the symbol for Volts.

5. Let’s Review!!!! Resistance The opposition to the flow of electrons. R is the symbol for resistance. Resistance is measured in Ohms. Ω is the abbreviation for Ohms.

6. Let’s Review!!!! Ohm’s Law The mathematical relationship between Current, Voltage and Resistance. RI V V = I  RV = I  R I = V / R R = V / I

7. Let’s Play Press this button to set up different circuits with light bulbs attached in series.

8. Series Circuits A Series Circuit offers a single continuous path for current to flow. Voltage Source Load “R” Current Path

9. Series Circuit I _ + VR

10. Current is the same everywhere in the circuit. The Total Resistance is the sum of all the individual resistors. The Sum of the Voltage Drops across each resistor is equal to the Source Voltage.

11. ITIT _ + VTVT R2R2 I1I1 I3I3 I2I2 R1R1 R3R3 I T = I 1 = I 2 = I 3 V T = V 1 + V 2 + V 3 R T = R 1 + R 2 + R 3

12. Series Circuit Simulator Press this button to see what the effects of changes the voltage and the resistance has on the circuit current ins a series circuit. Go to the circuit section of this demonstration.

13. Example #1 V T = 10v ITIT _ + I1I1 I2I2 R 1 =2Ω R 2 =3Ω 2A Component R( Ω) I(A)V(V) R1R1 R2R2 Total 2Ω2Ω 3Ω3Ω 10V

14. Find: R T R T = R 1 + R 2 R T = 2Ω + 3Ω R T = 5Ω

15. Example #1 V T = 10v ITIT _ + I1I1 I2I2 R 1 =2Ω R 2 =3Ω 2A Component R( Ω) I(A)V(V) R1R1 R2R2 Total 2Ω2Ω 3Ω3Ω 10V 5Ω5Ω

16. Find: I T IT =IT = I T = 10v / 5Ω I T = 2A I T = I 1 = I 2 = 2A RTRT ITIT VTVT Ohm’s Law VT / RTVT / RT

17. Example #1 V T = 10v ITIT _ + I1I1 I2I2 R 1 =2Ω R 2 =3Ω 2A Component R( Ω) I(A)V(V) R1R1 R2R2 Total 2Ω2Ω 3Ω3Ω 10V 5Ω5Ω2A

18. In a series circuit current is the same throughout the circuit!!! I T = I 1 = I 2

19. Example #1 V T = 10v ITIT _ + I1I1 I2I2 R 1 =2Ω R 2 =3Ω 2A Component R( Ω) I(A)V(V) R1R1 R2R2 Total 2Ω2Ω 3Ω3Ω 10V 5Ω5Ω2A

20. Find: V 1 R1R1 I1I1 V1V1 Ohm’s Law V1=V1= I1  R1I1  R1 V 1 = 2A  2Ω V 1 = 4V

21. Example #1 V T = 10v ITIT _ + I1I1 I2I2 R 1 =2Ω R 2 =3Ω 2A Component R( Ω) I(A)V(V) R1R1 R2R2 Total 2Ω2Ω 3Ω3Ω 10V 5Ω5Ω2A 4V

22. R2R2 I2I2 V2V2 Ohm’s Law Find: V 2 V2=V2= I2  R2I2  R2 V 2 = 2A  3Ω V 2 = 6V

23. Example #1 V T = 10v ITIT _ + I1I1 I2I2 R 1 =2Ω R 2 =3Ω 2A Component R( Ω) I(A)V(V) R1R1 R2R2 Total 2Ω2Ω 3Ω3Ω 10V 5Ω5Ω2A 4V 6V

24. Example V T = 20v R 2 =4Ω ITIT _ + I1I1 I3I3 I2I2 R 1 =1Ω R 3 =5Ω Component R( Ω) I(A)V(V) R1R1 R2R2 R3R3 Total 1Ω1Ω 4Ω4Ω 5Ω5Ω 20v

25. Find: R T R T = R 1 + R 2 + R 3 R T = 1Ω + 4Ω + 5Ω R T = 10Ω

26. Example V T = 20v R 2 =4Ω ITIT _ + I1I1 I3I3 I2I2 R 1 =1Ω R 3 =5Ω Component R( Ω) I(A)V(V) R1R1 R2R2 R3R3 Total 1Ω1Ω 4Ω4Ω 5Ω5Ω 20v10Ω

27. Find: I T IT =IT = I T = 20v / 10Ω I T = 2A I T = I 1 = I 2 = I 3 = 2A RTRT ITIT VTVT Ohm’s Law VT / RTVT / RT

28. Example V T = 20v R 2 =4Ω ITIT _ + I1I1 I3I3 I2I2 R 1 =1Ω R 3 =5Ω Component R( Ω) I(A)V(V) R1R1 R2R2 R3R3 Total 1Ω1Ω 4Ω4Ω 5Ω5Ω 20v10Ω2A

29. Find: V 1 R1R1 I1I1 V1V1 Ohm’s Law V1=V1= I1  R1I1  R1 V 1 = 2A  1Ω V 1 = 2V

30. Example V T = 20v R 2 =4Ω ITIT _ + I1I1 I3I3 I2I2 R 1 =1Ω R 3 =5Ω Component R( Ω) I(A)V(V) R1R1 R2R2 R3R3 Total 1Ω1Ω 4Ω4Ω 5Ω5Ω 20v10Ω2A 2v

31. Find: V 2 R2R2 I2I2 V2V2 Ohm’s Law V2=V2= I2  R2I2  R2 V 2 = 2A  4Ω V 2 = 8V

32. Example V T = 20v R 2 =4Ω ITIT _ + I1I1 I3I3 I2I2 R 1 =1Ω R 3 =5Ω Component R( Ω) I(A)V(V) R1R1 R2R2 R3R3 Total 1Ω1Ω 4Ω4Ω 5Ω5Ω 20v10Ω2A 2v 8v

33. Find: V 3 R3R3 I3I3 V3V3 Ohm’s Law V3=V3= I3  R3I3  R3 V 3 = 2A  5Ω V 3 = 10V

34. Example V T = 20v R 2 =4Ω ITIT _ + I1I1 I3I3 I2I2 R 1 =1Ω R 3 =5Ω Component R( Ω) I(A)V(V) R1R1 R2R2 R3R3 Total 1Ω1Ω 4Ω4Ω 5Ω5Ω 20v10Ω2A 2v 8v 10v

35. Example VTVT I T =4mA _ + I1I1 I2I2 R 1 =8kΩ R 2 =2kΩ 2A Component R( Ω) I(mA)V(V) R1R1 R2R2 Total 8k Ω 2k Ω 4mA

36. I T = I 1 = I 2

37. Example VTVT I T =4mA _ + I1I1 I2I2 R 1 =8kΩ R 2 =2kΩ 2A Component R( Ω) I(mA)V(V) R1R1 R2R2 Total 8k Ω 2k Ω 4mA 10kΩ 32v 8v 40v

38. Find: R T R T = R 1 + R 2 R T = 2kΩ + 8kΩ R T = 10kΩ or 10,000Ω Press this button to go back to previous screen.

39. Find: I 1,2 I T = 4mA I T = I 1 = I 2 = 4mA Press this button to go back to previous screen.

40. Find: E T RTRT ITIT VTVT Ohm’s Law VT=VT= IT  RTIT  RT V T = 4mA  10kΩ V T = 40V Press this button to go back to previous screen. V T = 0.004A  10,000Ω

41. Find: E 1 R1R1 I1I1 V1V1 Ohm’s Law VT=VT= I1  R1I1  R1 V T = 4mA  8kΩ V T = 32V Press this button to go back to previous screen. V T = 0.004A  8,000Ω

42. Find: E 2 R2R2 I2I2 V2V2 Ohm’s Law V2=V2= I2  R2I2  R2 V T = 4mA  2kΩ V T = 8V Press this button to go back to previous screen. V T = 0.004A  2,000Ω

43. Let’s Practice V T = 100V I T =10mA _ + I1I1 I2I2 R 1 = 4kΩ R 2 = ? Find: I 1 I 2 R T R 2 V 1 V 2 Draw this circuit on a sheet of paper.