Individual 46993

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.

Correct 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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