Question

Question [5x2 marks 10 marks] In the circuit in Figure 4, the resistance value R1, R2, R3 and R4 have a value of 30, 40, 40 and 50 (a) Find the equivalent resistance (Req) in the circuit (b) Determine the current through each resistance 1 to 14. (c) Determine the power dissipated by each resistor and the power delivered by the independence voltage source. Confirm that the power delivered by the independent source is the same as the power absorbed by the resistors (d) Use LTspice program to create the circuit and compute for all the resistor voltages and currents. (e) Compare your simulation measurements with the results of your calculations R1 3 R2R3 4 V1 4 40 V R4 5 Figure 4: The electrical circuit diagram for Question 6.

Answer 1

R_2 Vertical-bar Vertical-bar R_3 = 4 times 4/4 + 4 = 2 omega Req = R_1 + R_4 + 2 = 3 + 5 + 2 = 10 omega I_T = -I_1 = I_4 = V/Req = 40/10 = 4A I R_2 = I R_3 = I times R_2/R_2 + R_3 = 4 times 4/4 + 4 = 2A PR_1 = I_R_1^2 times R_1 = 462 times 3 = 48 w P_R_2 = I_R^2_2 times R_2 = 2^2 times 4 = 16 w P_R_3 = I^2_R_3 times R_3 = 262 times 4 = 16 w P_R_4 = I_R^2_4 times R_4 = 4^2 times 5 = 80 w P_40v = 40 times I_r = 40 times 4 = 160 w by resistor P_atts = P_R_1 + P_R_2 + P_R_3 + P_A_4 = 48 + 16 + 16 + 80 = 160 w pdel = 160 w therefore pdel = Paly