Answer:
Total Resistance = [tex]\frac{1300}{9}[/tex] Ω (or 144.44 Ω)
Step-by-step explanation:
If two resistors, with resistance x and y, are connected in parallel, their total resistance is given by the formula:
[tex]\frac{1}{Total}=\frac{1}{x}+\frac{1}{y}[/tex]
If 2 resistors with resistance x and y and connected in series, their total resistance would be:
Total = x + y
Now, the first part, 100 and 80 are in parallel, so according to formula it would be:
[tex]\frac{1}{Total}=\frac{1}{x}+\frac{1}{y}\\\frac{1}{Total}=\frac{1}{100}+\frac{1}{80}\\\frac{1}{Total}=\frac{9}{400}\\Total = \frac{400}{9}[/tex]
Now, this is connected in series with 100, so the grand total would be:
Total Resistance of Circuit = [tex]\frac{400}{9}+100=\frac{1300}{9}[/tex]
This is the total resistance of the circuit.
