1. Parallel Circuits

2. In parallel circuits the current can take more than one path. We call these separate paths branches. The branch points are known as Junctions

3. Voltage and parallel circuits In parallel circuits, every branch gets the full voltage that the battery puts out Different from series – where the voltage is distributed depending on resistance. 12 V 6 V

4. This doesn’t mean every object gets full voltage, just that every branch carries the full voltage. Objects on the branch still distribute the voltage. 12 V 6V

5. Kirchhoff’s Current Law – The “Junction Rule” The total current entering a junction point must be equal the total current of the branches leaving the junction point. If the current entering the junction I 1 is 5 Amps, then I 2 and I 3 must total to equal 5 Amps

6. If I 1 is 8 Amps and I 2 is 5 Amps, What is I 3 ? If i 1 is 8 A, i 3 is 6 Amps, and i 4 is 12 A then what is i 4 ?

7. Parallel Circuits function differently - The separate branches alter how voltage is distributed, current flows, as well as how effective the total resistance is in parallel vs series circuit. Ohm’s Law applies for both series and parallel circuits:

8. Resistance in parallel circuits If done by hand, requires the use of common denominators to find total R If plugged into a calculator, it does that step for you.

9. A circuit contains a 2-ohm resistor and a 4-ohm resistor in parallel. Calculate the total resistance of the circuit. Calculating resistance in parallel circuits

10. A circuit contains a 2-ohm resistor and a 4-ohm resistor in parallel. Calculate the total resistance of the circuit. Calculating resistance in parallel circuits

11. Comparing Resistances

12. Find the total resistance for each circuit if the resistance of each lamp is 8 Ohms..

13. With parallel circuits, many objects can be turned on and off without stopping the current to the whole circuit.

14. Voltage and parallel circuits Parallel circuits have threes advantages over series circuits:  Each branch in the circuit has a voltage drop equal to the full battery voltage.  Because total resistance is lower in parallel, it lets a higher current flow (since I = V/R)  Each device in the circuit may be turned off independently without stopping the current in the other devices in the circuit using a switch.

15. Calculate the total resistance, total current, and current in each branch for the circuit shown. Calculating current and resistance

16. Calculate the total resistance, total current, and current in each branch for the circuit shown. Calculating current and resistance  Use the formula for parallel resistance and Ohm’s law.  Solution: part 1 1/R tot = 1/5  + 1/1  = 1/5 + 5/5  1/R tot = 6/5  R tot = 5/6  = 0.83 

17. Calculate the total resistance, total current, and current in each branch for the circuit shown. Calculating current and resistance I = V/R I tot = (3 V)/(0.83  ) = 3.6 A I 1  = (3 V) ÷ (1  ) = 3.0 A I 5  = (3 V) ÷ (5  ) = 0.6 A

18. Find current through branch D

19. Find total R and total Current

20. Find the Current through each branch, and then the total current

21. Parallel vs. Series Remember: series/same/current; parallel/same/voltage. Use Ohm’s law for both.

22. Important review