Answer:
The total resistance of a parallel circuit is 24 ohms
Explanation:
The total resistance of a parallel circuit where resistance is given by
[tex]$\frac{1}{\mathrm{Rt}}=\frac{1}{\mathrm{R} 1}+\frac{1}{\mathrm{R} 2}+\frac{1}{\mathrm{R} 3}+\frac{1}{\mathrm{R} 4}$[/tex]… and so on
Where Rt = Total resistance and R1, R2, R3 etc. are resistances attached in parallel
We are given, R1 = 60 ohms and R2 = 40 ohms
So Rt will be given by
[tex]$\frac{1}{\mathrm{Rt}}=\frac{1}{60}+\frac{1}{40}$[/tex]
Solving this we get
Rt = [tex]$\frac{(60 * 40)}{(60+40)}$[/tex] = 24
Which gives Rt = 24 ohms which is the required total resistance.