Resistors in a circuit

Two resistors with resistances 30 and 50 Ohm are connected in series in a circuit. Between the outer terminals of the resistor there is a voltage of 20 V. Draw the circuit diagram and record into it all quantities. What current passes through the first and the second resistor? What voltage is between the terminals of the first and the second resistor? Determine the ratio of the voltage between the terminals of the first and the second resistor. Determine the ratio of the resistances of the first and the second resistor. Compare the results.

Final Answer:

I₁ =  0.25 A
I₂ =  0.25 A
U₁ =  7.5 V
U₂ =  12.5 V
r =  3:5

Step-by-step explanation:

$$\begin{gathered} R_1=30\Omega \\ {R}_2=50\Omega \\ U=20\text{V} \\ R=R_1+R_2=30+50=80\Omega \\ {I}_1=U/R=20/80=0.25\text{A} \end{gathered}$$

$I_2=I_1=0.25=0.25\text{A}$

$U_1=R_1\cdot I_1=30\cdot 0.25=7.5\text{V}$

$U_2=R_2\cdot I_2=50\cdot 0.25=12.5\text{V}$

$r=R_1/R_2=30/50=0.6=3:5$

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