Resistances 80604

Resistors with resistances of 6 ohms and 10 ohms are connected in series to a voltage of 24 V.

a) How much current passes through them?
b) What are the voltages on the individual resistors?

Correct answer:

I =  1.5 A
U₁ =  9 V
U₂ =  15 V

Step-by-step explanation:

$$\begin{gathered} R_1=6\Omega \\ {R}_2=10\Omega \\ U=24\text{V} \\ R=R_1+R_2=6+10=16\Omega \\ I=\frac{U}{R}=\frac{24}{16}=1.5\text{A} \end{gathered}$$

$U_1=R_1\cdot I=6\cdot 1.5=9\text{V}$

$U_2=R_2\cdot I=10\cdot 1.5=15\text{V}$

Try another example