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The solution for the current as a function of time that satisfies this differential equation is given by i(t) - Vo R - [1 − e−t#] . (a) (3 marks) Show that i(t) satisfies the differential equation of an RL circuit with a contant voltage source. (b) (6 marks) Use MATLAB to make a graph that shows the voltage drop across the resistor and VR(t) and the voltage drop across the inductor VL (t) as a function of time. (c) (2 marks) Explain the behaviour of the inductor voltage in this circuit. 3. Consider the RL circuit with a constant voltage source shown in the diagram below. The values of the resistor, inductor, and input voltage are R = 100, L = 100 mH, and Vo = 12V, respectively. Vo - Ti(t) R w When the switch closes at time t = 0, the current begins to flow as a function of time. It follows from Kirchoff's voltage law that the current is described by the differential equation di(t) L dt + Ri(t) = Vo⋅

The solution for the current as a function of time that satisfies this differential equation is given by i(t) - Vo R - [1 − e−t#] . (a) (3 marks) Show that i(t) satisfies the differential equation of an RL circuit with a contant voltage source. (b) (6 marks) Use MATLAB to make a graph that shows the voltage drop across the resistor and VR(t) and the voltage drop across the inductor VL (t) as a function of time. (c) (2 marks) Explain the behaviour of the inductor voltage in this circuit. 3. Consider the RL circuit with a constant voltage source shown in the diagram below. The values of the resistor, inductor, and input voltage are R = 100, L = 100 mH, and Vo = 12V, respectively. Vo - Ti(t) R w When the switch closes at time t = 0, the current begins to flow as a function of time. It follows from Kirchoff's voltage law that the current is described by the differential equation di(t) L dt + Ri(t) = Vo⋅

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter24: Resistive-inductive-capacitive Parallel Circuits
Section: Chapter Questions
Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...
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The solution for the current as a function of time that satisfies this differential equation is given by i(t) - Vo R - [1 − e−t#] . (a) (3 marks) Show that i(t) satisfies the differential equation of an RL circuit with a contant voltage source. (b) (6 marks) Use MATLAB to make a graph that shows the voltage drop across the resistor and VR(t) and the voltage drop across the inductor VL (t) as a function of time. (c) (2 marks) Explain the behaviour of the inductor voltage in this circuit.
Transcribed Image Text:The solution for the current as a function of time that satisfies this differential equation is given by i(t) - Vo R - [1 − e−t#] . (a) (3 marks) Show that i(t) satisfies the differential equation of an RL circuit with a contant voltage source. (b) (6 marks) Use MATLAB to make a graph that shows the voltage drop across the resistor and VR(t) and the voltage drop across the inductor VL (t) as a function of time. (c) (2 marks) Explain the behaviour of the inductor voltage in this circuit.
3. Consider the RL circuit with a constant voltage source shown in the diagram below. The values of the resistor, inductor, and input voltage are R = 100, L = 100 mH, and Vo = 12V, respectively. Vo - Ti(t) R w When the switch closes at time t = 0, the current begins to flow as a function of time. It follows from Kirchoff's voltage law that the current is described by the differential equation di(t) L dt + Ri(t) = Vo⋅
Transcribed Image Text:3. Consider the RL circuit with a constant voltage source shown in the diagram below. The values of the resistor, inductor, and input voltage are R = 100, L = 100 mH, and Vo = 12V, respectively. Vo - Ti(t) R w When the switch closes at time t = 0, the current begins to flow as a function of time. It follows from Kirchoff's voltage law that the current is described by the differential equation di(t) L dt + Ri(t) = Vo⋅
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