In the figure R1 = 140 , R2 = 65 , and the ideal batteries have emfs 1 = 9.0 V,

Question

In the figure R1 = 140 , R2 = 65 , and the ideal batteries have emfs 1 = 9.0 V, 2 = 7.0 V, and 3 = 4.0 V. Find (a) the current in R1, (b) the current in R2, and (c) the potential difference between points a and b. (a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement (b) Number Enter your answer for part (b) in accordance to the question statement Units Choose the answer for part (b) from the menu in accordance to the question statement (c) Number Enter your answer for part (c) in accordance to the question statement Units Choose the answer for part (c) from the menu in accordance to the question statement

Explanation / Answer

a) current through R1 is

FROM OHMS LAW

i1 = E2/R1

i1 = 7/140 = 0.05 or 50 mA

b) by unsing kirchoffs voltage rule in upper loop

E2+E3-E1 = i2R2

i2 = (E2+E3-E1)/R2

i2 = (7+4-9)/65

i2 = 0.030A

C) VAB = E2+E3 = 7+4 = 11 V

OR

i2R2+E1 = 0.030*65+9 = 10.95v=11 V

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