Question

Problem 2: a) Consider the circuit below. If the potential of the battery is V= 120 V, determine the power consumption of each resistor. A 50 1003 $10000 D d b) You have three resistors with values 5 22.10 Q and 15 2. respectively. Show how you would connect all three of them such that the equivalent resistance to be 1) 110 11) 13.75 uli2.732

Answer 1

2. (a) A) 52 102E {1ooon D. С V = 120v First we have to determine the equivalence resistance. Here 100 & 1000s are connected in paralle) so (to +1000) = 9.92 and this 9.950 is connected series with 5.2 so Reg- 9.9+52 -) Reg: 14.90 So current (I) = Req -> I 120 14.9 = I= 8.053A

Hence potentias drop at 52 V = I (52) - Vi = 8.05345 - V = 40.268 v so Power consuption in 52 resistor PE V? R. =) P,= (40.268 )? 5 >> P = 324.30 watt we know for parallel combination the potential is same. so Power in 100 resistor P- V,2 >> P2 = 162.151 watt 10. Power consumption in 1000 resisoor P3 = 22 1.621 Watt 1000

(b) wo have three resistor having resistances 512, 102 & 152 For Connect getting Req=112, we we should the following way Here R paraller = 62 Rserils : 562 Req=112 100 $ 2 W 152 (13) For getting Req=13.75 52 lon mm 1512 (11) For getting Req= 2.7352 All resistors are connected in paranes 52 w 102 mm 2 152