Test 2 ENGR 230 FA 2017 Pleose show oll your work and circle your final answer f

Question

Test 2 ENGR 230 FA 2017 Pleose show oll your work and circle your final answer for Full credit. No points for sloppy or unintelligible work Also make sure to give proper units and onswers in scientifie nototion .You must label all the currents and the directions Show all voltage drops with the correct polarity (i.e.,+ and . Then write the KCL and KVL equations For KCL show the loop (i.e, closed circuit where it is applied) 1. Determine all the cuments and volages across the resistors 10 100 kn 2. Find all the currents and voltages 10 3. Find all the currents, voltages, and the equivalent resistance seen by the source +20V 2R 2R GND

Explanation / Answer

Let R1 = 1 kOhm = 1000 Ohms
Let R2 = 10 ohms
Let R3 = 1 ohm
Let R4 = 100k ohms = 100000 ohms

R1 and R2 are in parallel Hence,
1/R12 = 1/R1 + 1/R2
1/R12 = 1/1000 + 1/10
R12 = 1000/101

R3 and R4 are in parallel Hence,
1/R34 = 1/R3 + 1/R4
1/R34 = 1/100000 + 1/1
R34 = 100000/100001

R12 and R34 are in parallel
1/Rnet = 1/R12 + 1/R34
1/Rnet = 100001/100000 + 101/1000
Rnet = 100000/110101
Rnet = 0.9083 ohms

Vnet = 20*0.9083 = 18.17 V

I1 = 18.17/1000 = 0.01817 A
I2 = 18.17/10 = 1.817 A
I3 = 18.17/1 = 18.17 A
I4 = 18.17/100000 = 18.17*10^-5 A

V1 = V2 = V3 = V4 = 18.17 V

Please upvote if the answer is correct.

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