Question

8) In the following circuit, V = 67 volts, R2 = 5 Ohms, R2 = 9 Ohms, R3 - 5 Ohms, Ra- 1 Ohms, and Rs = 3 Ohms. What is the voltage across R2 in volts? R 3R2 + mm 7 RS

Answer 1

RIEUR b Iz I & R3 = 5ohn Methed - 1 3R₂ 3=90 Iyu) & Ruzlohm Rs=3ohn ě z d By kirchhoffs current low at I = Is t Iz Junction b where I e = I-II By kirchhoffs Voltage low along loop abefa - 51 -91, -31 +67 = 0 81 +931 = 67 -0 By kirchtolfs Voltage low alory loot bc des - - 5 Iz - (1) I2 +91=0 - 6Iz +91=0 9 I = 612 as I = 1-Z 911 = 6(1-1) 94 = 61-67 1511 = 61 7 15 640 7=6 I Putin 1521= 61 = 81 + X( 67 ) = 67 67 = 401 +18 I - 5 58 I = 335 1=335A 58 1=5.775862 A AB 1,761 -> 15€ (5.775862) 1 = 2.3103.448 A By ommillow VR₂ - 71 (R2) = (8.3103468) 9 VR2 = 20.79 AV VR2 = 20.8V

Method - 2 Method - 2 By simplifrohen ifreaticy of cerut & R=3.6 67UT R₂ =90 din 67V 32 3 snel are in senes and their equivalent if in parallel with an. R = (5+1) 9 ( 54) +9 R = 3.62 52, 32 and 3.62 are in sories So Rep=1160 So I = G7 A As R is equivalent of =92 a (st) so voltage across R is equel to Voltage across R2 =92 VRV VR2 = VR and 3.6 = IR VR2 = 20.8v