Answer to Question #177175 in Electricity and Magnetism for Blank 0822

Question

Vt= 220v

R1= 10 ohms

3 parallel resistor:

R2= 5 ohms

R3= 2 ohms

R4= 4 ohms

R5= 5 ohms

• Total Resistance
• Total Current
• Total Power
• Current 1 to 5
• Voltage 1 to 5
• Power 1 to 5

Answer 1

$R=R_1+\frac{R_2R_3R_4}{R_2R_3+R_2R_4+R_3R_4}+R_5=16.05~\Omega,$

$I=\frac UR=13.71~A,$

$P=UI=3016~W,$

$I_1=I_5=I_{24}=I=13.71~A,,$

$U_1=U\frac{R_1}{R}=137.07~V,$

$U_{24}=U\frac{R_{24}}{R}=14.39~V,$

$U_5=U\frac{R_5}{R}=68.54~V,$

$U_2=U_3=U_4=\frac{U_{24}}{3}=4.80~V,$

$I_2=I\frac{R_{24}}{R_2}=2.88~A,$

$I_3=I\frac{R_{24}}{R_3}=7.20~A,$

$I_4=I\frac{R_{24}}{R_4}=3.60~A,$

$P_1=1879~W,$

$P_2=14~W,$

$P_3=35~W,$

$P_4=17~W,$

$P_5=940~W.$