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

Question

(14%) Problem 2: Consider the following circuit of three resistors (R1,R2, and R3), with batteries that have emfs -12 V and-35.5 V, and internal resistances ri and r2. 0.5 Randomized Variables 6" 12V e, = 35.5 v 25 6.0 1.552 0.5 Otheexpertta.com 33% Part (a) Find the current 11, in amps #33% Part (b) Find the current 12, in amps. 3.25 Grade Summary 96% 78 9 HOME sino cotano coso asino atan acotan) sinhO cosh) tan cotanho ODegrees O Radians tano acoso Attempts remaining 19 ( per attempt ) detailed view 0 END BACKSPACE LCLEAR Feedback I give up! Hints:-deduction per hint. Hints remaining Feedback: 0% deduction per feedback. 33% Part (c) Find the current 13 in amps

Explanation / Answer

Here , Using KCL at node a

i1 - i2 - i3 = 0

i1 = i2 + i3

Using KVL

35.5 - (0.5+1.5)i3 - 6 i1 = 0

35.5 - (0.5+1.5)i3 - 6 (i2+i3) = 0

35.5 - 8 i3 - 6i2 = 0

6i2 + 8i3 = 35.5            .... (1)

Again usiing kvl

12 - (0.5+2.5)i2 - 6i1 = 0

12 - 3i2 - 6i1 = 0

12 - 3i2 - 6(i2 + i3) = 0

12 - 9i2 - 6i3 = 0

6i3 + 9i2 = 12             ...(2)

Solving Eqn (1) & (2)

we get i2 = -3.25A

          i3 = 6.875 A

and i1 = i2 + i3

         = -3.25 + 6.875

         = 3.625 A

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