Question

R1 R3 Question 4 (20 points) Choose values of resistors and the voltage of the source. a) Determine the voltage drop across each resistor. b) Determine the current through each resistor. c) Determine the power supplied by the source and dissipated by each resistor. Show all steps and all calculations. Fill these values into the table below. d) This circuit is going to be used in high temperature applications. If the copper wires are originally at 20.0 °C and raised to 100°C, by how much does the resistance of each wire change? R2 Battery R1 R2 R3 R4 Voltage Current Power

Answer 1

let, The Voltage source is WOV R = 102 R2 =302 R3 =202 I I 3 YI R, } R + 3 Ar R2 I H a) acness = 10 V Voltage drop across Ri across R, =l0v Voltage drop R3 Voltage drop across amoss Rg =0 V C) The nesistons Ri and Rg are in parallel so the equivalent resistance of them R, XR₃ Req= RotP3 10 X20 10120 at 2002 i Total current leaving the battery Req I = 10 2 3 = lo 5 A cunnent through Ri, II Rg RAR3 XT X 1.5 20 +10 CSScanned with CamScanner

eurnent through R3 Iz EI. I - 4-5-1)A 0.5 A 2 cunrent through R2, Iq =O A e) Power supplied by source an VXI 10 X 1.5 = 15 watt Powen di dissipated in Ri Pi = I,PR, W X10 LOW Powen dissipated in Rz P₂ = I ² x R2 (0.5) ? x 20 E 5 Powen dissipated in R2 P2 = Battery RI R2 R3 10 Voltage (v) 10 10 Cuno 0.5 ent(A) 1.5 0 Powen W 15 lo O 5 CS Scanned with CamScanner

d) We know, Tempen at once co-efficient of menistance of coppen is x = 42.5 x 7o 91° Aslo Rt = Rochtat) whor, Rt resistance of coppen at any temperature t. = nesistance of the copper wine at 0°c Ro . Resistance of coppen wine at 20°C Root Roc I +200 Resistance of the copper wine at 100°c Rioo > R. (1+100%) Rioo R20 ( 1 +100%) (1+202) 1 + (100x4 205x154) 1+ (20* 0 x 42.5x174) 1.313 = R100 1-313 R20 The Resistance of the wire increases by amount 1. 313 2. an CSScanned with CamScanner