Resistor parallel connection

Three resistors with resistances of 200 Ω, 400 Ω, and 600 Ω are connected next to each other (parallel). A current of 1.8 A flows through the first 200 Ω resistor.
a) What current passes through the second and what current through the third resistor?
b) What are the electrical voltages across the respective resistors?

Final Answer:

U₁ =  360 V
U₂ =  360 V
U₃ =  360 V
I₂ =  0.9 A
I₃ =  0.6 A

Step-by-step explanation:

$$\begin{gathered} I_1=1.8\text{A} \\ {R}_1=200\Omega \\ {R}_2=400\Omega \\ {R}_3=600\Omega \\ {U}_1=R_1\cdot I_1=200\cdot 1.8=360\text{V} \end{gathered}$$

$U_2=U_1=360=360\text{V}$

$U_3=U_1=360=360\text{V}$

$I_2=\frac{U_2}{R_2}=\frac{360}{400}=\frac{9}{10}\text{A}=0.9\text{A}$

$I_3=\frac{U_3}{R_3}=\frac{360}{600}=\frac{3}{5}\text{A}=0.6\text{A}$

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