(14%) Problem 2: Consider the following circuit of three resistors (R1. R2, and

Question

(14%) Problem 2: Consider the following circuit of three resistors (R1. R2, and R3), with battenes that have emfs E-14.5 V and 40.5 V, and internal resistances r1 and r2. Randomized Variables E1 0.5 145V 2-40.5V 1.5 05 E2 Otheexperita.com 33% Part (a) Find the current 11, in amps. Grade Summary Deductions Potential 100 789 sinO cotan0 asinO acoso atanO acotan0 sinhO Submissions Attempts remaining: (5Ss per attempt) detalled view Degrees Radians Submit Hint Hints: 0s deduction per hint. Hants remaining: 4 Feedback: deduction per feedback 33% Part (b) Find the current 12-in amps. 33% Part (c) Find the current 13 in amps

Explanation / Answer

Take the node 'a' -

I1 = I2 + I3 ----------------------------------------(i)

Take the upper loop -

14.5 = 0.5*I2 + 6*I1 + 2.5*I2 = 6*I1 + 3*I2

=> I1 = 2.42 - 0.5*I2------------------------------------------------(ii)

take the lower loop -

40.5 = 0.5*I3 + 1.5*I3 + 6*I1 = 6*I1 + 2*I3 = 6*I1 + 2*(I1 - I2) = 8*I1 - 2*I2------------------------(iii)

put the value of I1 -

8*(2.42 - 0.5*I2) - 2*I2 = 40.5

=> 19.36 - 6*I2 = 40.5

=> I2 = (19.36 - 40.5) / 6 = -3.52 A (Part b)

I1 = 2.42 - 0.5*(-3.52) = 4.18 A (Part a)

I3 = 4.18 - 3.52 = 0.66 A (Part c)

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

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