Resistors Series Parallel

Two resistors of 20 Ω and 30 Ω are connected in the electrical circuit.
a, Calculate the total resistance in the electrical circuit if the resistors are connected in series.
b, Calculate the total resistance in the electrical circuit if the resistors are connected in parallel.

Final Answer:

R₁ =  50 Ω
R₂ =  12 Ω

Step-by-step explanation:

$$\begin{gathered} r_1=20\Omega \\ {r}_2=30\Omega \\ {R}_1=r_1+r_2=20+30=50\Omega \end{gathered}$$

$R_2=\frac{r_1\cdot r_2}{r_1+r_2}=\frac{20\cdot 30}{20+30}=12\Omega$

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