Thank you! 12. 014.76 points Provious Anawers SarcP10 18.P.021. My Notos Ask You

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Thank you!

12. 014.76 points Provious Anawers SarcP10 18.P.021. My Notos Ask Your In the circuit of the figure below, determine the current in each resistor and the potential difference across the R-409- resistor. 40,0 V 360 V 80.0 V 80012 20.012 70.0 (a) the current in each resistor Resistor (A) Current (A) 60616 409 Your response differs from the correct answer by more than 10%. Double check your calculations Your response differs from the correct answer by more than 10%. Double check your calculations Your response differs from the correct answer by more than 10%. Double check your calculations. Your response differs from the correct answer by more than 10%. Double check y 3.5889 80.0 5.604 20.0 2.3988 70.0 our calculations (b) the potential difference across the R = 409- resistor 7.919 Your response differs from the correct answer by more than 10%. Double check your calculations. V Need Help? .maani Submit Answer Save Progress Practice Another Version

Explanation / Answer

12. let the current 80 ohm resistor be I, moving up
current through 70 ohm resistor be i, moving up
current through 20 ohm resistor be i', moving down
current through 409 be i", moving up
so, from kirchoff's junction law, i' = i" + i + I
from kirchoff's voltage law
40 = -409i"+ 80*I
360 = 20i' + 409i"
80 = -409i" + 70i
i" = -i - I + i'

so, 409i + 489I - 409i' = 40
-409i - 409I + 429i' = 360
479i + 409I - 409i' = 80

solving
i = 4.092 A
I = 3.0806 A
i' = 7.677 A
i" = 14.85 A
a) Resistor Currrent
409 ohm 14.85 A
80 ohm 3.0806 A
20 ohm 7.677 A
70 ohm 4.092 A
b) potential drop across 409 ohm = 409i" = 6073.7 V

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