Ri (8%) Problem 10: Consider the circuit in the figure, with the current directi

Question

Ri (8%) Problem 10: Consider the circuit in the figure, with the current directions defined as shown. There are four resistors in this circuit (Ri, R2, R3, and R4) and four batteries with emts = 16.5 V,= 2.5 V, 12.5 V, and = 29.1 V, each with internal resistance given by r as marked in the figure 2012 8 0.5 Randomized Variables 16.5 V =2.5 V 12.5 V = 29.1 V 0.5 0.25 Ru 15 0.75 Otheexpertta.com 33% Part (a) Calculate the current 11 in amps Grade Summary 0% 100% sin() | cos() | tan() | | (!)| 7| 8| 9 45 6 Attempts remaining: 6 cotan)asin) acosO atan acotan) sinhO cosh0 tanh)cotanh0 o Degrees o Radians % per attempt) detailed view 0 END BACKSPACE Submit Hint Hints: 1 % deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. 33% Part (b) Calculate the current 12 in amps 33% Part (c) Calculate the current 13 in amps

Explanation / Answer

From Kirchoff's Junction rule

I1-I2-I3=0--------------1

Applying Kirchoff's loop rule on left loop

16.5-(0.5+20+15)I1-(6+0.25)I3-2.5=0

35.5I1+6.25I3=19----------2

Applying Kirchoff's loop rule on right loop

-(8+0.5+0.75)I2+12.5-29.1+(6+0.25)I3-2.5=0

-9.25I2+6.25I3=19.1-------3

Solving 1,2 and 3 we get

a)

I1=0.288 A

b)

I2=-1.116 A

c)

I3=1.404 A

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.