# 19.2

## 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