Question

3. Find for the total resistance of the series-parallel circuit below

Answer 1

In order to find the total resistance, first let's calculate the total resistance between R2 and R3, which are in series, so the total resistance is the sum:

`R23=R2+R3=3+2=5\text{ ohms}`

Now, let's calculate the total resistance between R23 and R1, which are in parallel, so we use the equation below:

`R123=(R23\cdot R1)/(R23+R1)=(5\cdot6)/(5+6)=(30)/(11)=2.727\text{ ohms}`

Finally, we calculate the total resistance between R123 and R4, which are in series:

`RT=R4+R123=3+2.727=5.727\text{ ohms}`