Difference between revisions of "19.2"

Latest revision as of 15:14, 31 January 2010

To start we need to consolidate this circuit.

Follow the steps shown below

Step One: Combine 11 ohms and 13 ohms

To combine the two resistors... [(11^-1)+(13^-1)]^-1
the combined resistors equal 5.958 ohms and should be stored in alpha A

Step Two: Combine 3 ohms and A (5.958 ohms).

To combine the two resistors... 3+A
the combined resistors equal 8.958 ohms and should be stored in alpha B

Step Three: Combine 15 ohms and B (8.958 ohms).

To combine the two resistors... [(15^-1)+(B^-1)]^-1
the combined resistors equal 5.60869 ohms and should be stored in alpha C

Step Four: Combine 5 ohms and 7 ohms

To combine the two resistors... 5+7
the combined resistors equal 12 ohms (this numbered does not need to be stored)

Step Five: Combine 12 ohms and 9 ohms

To combine the two resistors... [(12^-1)+(9^-1)]^-1
the combined resistors equal 5.1428 ohms and should be stored in alpha D

Step Six: Combine 4 ohms, D, and C

To combine the three resistors... 4+C+D
the combined resistors equal 14.75 and should be stored in alpha E

Now we can start to find the ammeter values, voltages, and currents.

To find A1:
We use the formula I = V/R
so,I = 45/14.75
I = 3.0505 (which we should store in alpha F)

To find V1:
We use the formula V = IR
so, V = (3.0505)(5.60869)
or V = FC (the values stored in F and C)
V = 17.109 (store in G)

To find V2:
We use the same formula V = IR
V = (3.0505)(5.1428)
or V = DF
V = 15.688 (store in I)

To find V3:
Start by dividing G by B and store in alpha H
then to find the voltage multiple H and A
which gives you a voltage of 11.3738 (store in J)

For the currents use the formula: I = V/R

For 15 ohms:
G/15 = 1.1406A

For 13 ohms:
J/13 = .8749A

For 3 ohms:
G/B = 1.9098A

For 7 ohms:
I/12 = 1.3073A