The Heaviside function H is dened byIt is used in the study of electric circuits to
Chapter 1, Problem 1.3.57(choose chapter or problem)
The Heaviside function H is dened byIt is used in the study of electric circuits to represent the sudden surge of electric current, or voltage, when a switch is instantaneously turned on. (a) Sketch the graph of the Heaviside function. (b) Sketch the graph of the voltage in a circuit if the switch is turned on at time and 120 volts are applied instantaneously to the circuit. Write a formula for in terms of . (c) Sketch the graph of the voltage in a circuit if the switch is turned on at time seconds and 240 volts are applied instantaneously to the circuit. Write a formula for in terms of . (Note that starting at corresponds to a translation.)
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