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Safari File Edit View History Bookmarks Window Help 22%I Mon 9:45 PM a use fl.theexpertta.com/Common/TakeTutorialAssignment.aspx Class Managemen Help Homework 4 Begin Date: 2/14/2017 3:00:00 PM Due Date: 2/27/2017 11:59:00 PM End Date: 5/5/2017 12:00:00 AM (5%) 9.5 Problem 19: In the three-resistor circuit diagram shown at right, R R2 11 2, R. 10.5 2, and V 18.5 V Assignment Status Click here for detailed view Otheexpertta.com Problem Status A 25% Part (a) Input an expression for the equivalent resistance of the two resistors in parallel. 1 Completed Completed Grade Summary parallel Deductions Potential 100% 4 Partial 7 8 9 Submissions Completed Attempts remaining: S 4 5 6 Completed 4% per attempt) detailed view 1 2 3 8 Completed R1 R2 R3 vo 9 Completed 10 Completed Hint I give up! 11 Completed 12 Completed Hints 00 deduction per hint. Hints remaining: 2 Feedback 0% deduction per feedback. 13 Partial 14 A 25% Part (b) Input an expression for the cquivalent resistance of the whole circuit. 15 A 25% Part (e) Given the equivalent resistance, R give an expression for the current through the circuit 1. 16 i A 25% Part (d) What is the current in amps Completed 17 18 Completed

Explanation / Answer

a)

parallel combination of resistance R2 and R3 is given as

R23 = R2 R3/(R2 + R3)

b)

series combination of R1 and R23 is given as

R123 = equivalent resistance of the circuit = R1 + R23 = R1 + R2 R3/(R2 + R3) = (R1 R2 + R2 R3 + R1 R3) /(R2 + R3)

c)

I = current in the circuit

V = total Voltage

using ohm's law

V = I R123

I = V(R2 + R3) / (R1 R2 + R2 R3 + R1 R3)

d)

I = V(R2 + R3) / (R1 R2 + R2 R3 + R1 R3) = 18.5 (11 + 10.5) /(9.5 x 11 + 11 x 10.5 + 10.5 x 9.5) = 1.24 A

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