In the circuit shown in (Figure 1) , assume that I 1= 3.55 A and I 2 = 6.50 A .
ID: 1591442 • Letter: I
Question
In the circuit shown in (Figure 1) , assume that I1= 3.55 A and I2 = 6.50 A .
Part A
Find the current in resistor R.
Express your answer in amperes to three significant figures.
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Part B
Find the value of the resistance R.
Express your answer in ohms to three significant figures.
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Part C
Find the unknown emf E.
Express your answer in volts to three significant figures.
In the circuit shown in (Figure 1) , assume that I1= 3.55 A and I2 = 6.50 A .
Part A
Find the current in resistor R.
Express your answer in amperes to three significant figures.
IR = ASubmitMy AnswersGive Up
Part B
Find the value of the resistance R.
Express your answer in ohms to three significant figures.
R =SubmitMy AnswersGive Up
Part C
Find the unknown emf E.
Express your answer in volts to three significant figures.
E = VExplanation / Answer
kirchhoff's second law
uppler loop
6*i1 - e + 28 - (i2 -i1)*R = 0
i1*(6 - R) - i2*R + 28 - e = 0
3.55*(6 - R) - 6.5*R + 28 -e =0
49.3 - 10.05*R - e = 0 .... (1)
lower loop
6*i1 - e + i2*3 = 0
6*3.55 - e + 6.5*3 = 0
e = 40.8 V {Part C}
put in eq (1)
49.3 - 10.05*R - 40.8 = 0
8.5 - 10.05*R = 0
R = 0.845 ohm {Part B}
current in R = i2 - i1 = 6.5 - 3.55 = 2.95 A {part A}