Attach a 450 mA current source between the terminals a-b in (Figure 1: https://s

Question

Attach a 450 mA current source between the terminals a-b in (Figure 1: https://session.masteringengineering.com/problemAsset/1824632/3/3-9a.jpg ) , with the current arrow pointing up. Suppose that R1 = 32 , R2 = 28 , R3 = 14 ,R4 = 8 , and R5 = 14 .

Part A

Use current division to find the current in R1 from top to bottom.

Express your answer to three significant figures and include the appropriate units.

Part B

Use the result from part A to find the voltage across R1, positive at the top.

Express your answer to three significant figures and include the appropriate units.

Part C

Use the result from part B and voltage division to find the voltage across R3, positive at the top.

Express your answer to three significant figures and include the appropriate units.

Part D

Use the result from part C and voltage division to find the voltage across R5, positive at the top.

Express your answer to three significant figures and include the appropriate units.

Explanation / Answer

equivalent resistance of R2 and R5 = R1eq = R2 + R5 = 42 ohm

equivalent resistance of R1eq and R3 = R2eq = R1eq*R3/(R1eq + R3) = (42*14)/(42+14) = 10.5 ohm

equivalent resistance of R2eq and R4 = R3eq = R2eq + R4 = 18.5 ohm

a)

current in R1 = I*R3eq/(R3eq+R1) = 450mA*18.5/(18.5+32) = 164.85 mA

b)

voltage across R1 = 164.85*32 =5275.2 *10^(-3) volt = 5.275 Volt

c)

voltage across R1 = voltage across R2eq + voltage across R4

and voltage across R2eq = voltage across R3

voltage across R4 = (450 - 164.85)*8 = 2281.2*10^(-3) = 2.28 volt

voltage across R2eq = voltage across R1 - voltage across R4 = 5.275 - 2.28 = 2.995 volt

voltage across R3 = 2.995 volt

d)

voltage across R5 = voltage across R3*R5/(R2+R5) = 2.995*14/(28+14) = 0.998 volt

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