Question

FREE RESPONSE [10 points A battery with an emf of 24 volts and an internal resistance of 1 ohm is connected to an external circuit as shown above Determine each of the following 26. The equivalent resistance of the combination of the 4-ohm, 8-ohm, and 12-ohm resistors 27. The current in the 5-ohm resistor 28. The terminal voltage, Vac of the battery 29. The rate at which energy is dissipated in the 12-ohm resistor 30. The magnitude of the potential difference Vec 31. The power delivered by the battery to the external circuit RESPONSE (5 points metals, resistance increases as the temperature increases. An electric toaster has a resistance of 120 Ω hot

Answer 1

4 omega & 8 omega are in series rightarrow hence R_1 = r omega They both are parallel to 12 omega resister. 1/R_equ = 1/12 + 1/12 rightdoublearrow R_equ = 6 omega 27) Total resisters of circuit = 5 + 6 + 1 = 12 omega V = 24 V current across 5 omega resister = V/R = 24/12 = 2A V_AC = E plusminus r = 24 - 2.1 = 22 V = Terminal voltage 29) we need to calculate circuit through R r resistor current divides equally among the (12 omega & 4 omega 8 omega combined) Hence current through 12 reactor = 1 A Rate at which energy is disputed = I^2 R 30) V_BC = V_AC - V_AB V_AB = I_Cir R = current through 3 omega reactor times 5 omega = Z times 5 = 10 V V_BC = 22 - 10 = 12 V 31) Power by battery to external circuit = V_AC times I = 22 times = 44 uA