115. P 200 Was P 1000 Was s Examine Figure 2 above Dased on the given gowerratin

Question

115. P 200 Was P 1000 Was s Examine Figure 2 above Dased on the given gowerratings whet are the individual reoistances R and R?() akulato?totalomnt flowing through the ammeter (4) ?? If energy oosts 80.10 perkilowat-bour (50.10/Wh), what is the cost of nunning this cirout 4 hours a day for one 30-day month? (4) ? 6 12 R, R, Figure 3: Complex Circuit 180 Volts Ri 16.0 0 R, R 2000 ??? a Celoulate the equvalent resaistance of the circut. (4) A. Determine the total current fhlowing through the ammeter Find the cument through the third resistor R.4) 2 0

Explanation / Answer

5) power p = v^2/R

R1 = v^2/p1 = 120^2/200 = 72 ohm

R2 = v^2/p2 = 120^2/1000 = 14.4 ohm

6) two resistors are in parallel so R = R1R2/R1+R2 = 12 ohm

from the ohm's law

v = iR

i = 120/12 = 10 A

7) during the 30 days 30*4 hrs = 120 hrs

per hour 0.10 killowatts are requyired

for 120 hours 120*0.1 = 12 killowatt

8) R1,R2 in series

R12 = R1+R2 = 15+1 = 16 ohm

R12, R3 in parallel

R tot = 16*20/16+20 = 8.89 ohm

9) i = v/R = 18/8.89 = 2.02 A

10) in parallel voltage is same so v3 = 18 V

i3 = v3/R3 = 18/20 = 0.9 A

11) v12 = 18 V

i12 = 18/16 = 1.125 A

in seris cureent is same s0 i1 = i2 = 1.125 A

v1 = i1*R1 = 1.125*15 = 16.875 V

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