Resistor voltage measurement

We measured the voltage U= 75 V between the circuit's external terminals with a voltmeter. The circuit's resistance values of the individual resistors (in series) are 50 Ohm and 100 Ohm. Find out what voltage we would measure on the 1st and 2nd resistors.

Final Answer:

U₁ =  25 V
U₂ =  50 V

Step-by-step explanation:

$$\begin{gathered} U=75\text{V} \\ {R}_1=50\Omega \\ {R}_2=100\Omega \\ I=\frac{U}{R_1+R_2}=\frac{75}{50+100}=\frac{1}{2}=0.5\text{A} \\ {U}_1=I\cdot R_1=\frac{1}{2}\cdot 50=\frac{1\cdot 50}{2}=\frac{50}{2}=25\text{V} \end{gathered}$$

$U_2=I\cdot R_2=\frac{1}{2}\cdot 100=\frac{1\cdot 100}{2}=\frac{100}{2}=50\text{V}$

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