contestada

Compute the total resistance of a parallel circuit in which one branch has a resistance of 40 ohms and the other has a resistance of 60 ohms

Respuesta :

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.