Resistances 66064

Two resistors with resistances of 40 ohms and 60 ohms are connected in series and connected to a voltage of 150V.
A) the total resistance
B) current in the circuit
C) voltage on both resistors

Correct answer:

R =  100 Ω
I =  1.5 A
U₁ =  60 V
U₂ =  90 V

Step-by-step explanation:

$$\begin{gathered} R_1=40\Omega \\ {R}_2=60\Omega \\ U=150\text{V} \\ R=R_1+R_2=40+60=100\Omega \end{gathered}$$

$I=\frac{U}{R}=\frac{150}{100}=\frac{3}{2}\text{A}=1.5\text{A}$

$U_1=R_1\cdot I=40\cdot \frac{3}{2}=\frac{40\cdot 3}{2}=\frac{120}{2}=60\text{V}$

$U_2=R_2\cdot I=60\cdot \frac{3}{2}=\frac{60\cdot 3}{2}=\frac{180}{2}=90\text{V}$

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