Dynamics of the Wave Function: Heisenberg, Schrödinger, Collapse

The Heaviside function defined in Exercise 57 can also be used ... | Filo

Compute the Fourier transform of the Heaviside function H(x) in... | Filo

The Heaviside function defined in Exercise 57 can also be usedto define the ramp function y=c t H(t), which represents agradual increase in voltage or current in a circuit.(a) Sketch the graph of the ramp function y =tH(t) . (b) Sketch the graph of the voltage V(t) in a circuit if the switch is turned on at time t =0 and the voltage is graduallyincreased to 120 volts over a 60 -second time interval. Writea formula for V(t) in terms of H(t) for t ⩽ 60.(c) Sketch the graph of the volta

The Heaviside function H is defined by H(t) = { 0 1 . It 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 V(t) in a circuit if the switch is turned on at time t = 0 and 120 volts are applied instantaneously to the circuit. Write a formula for V(t) in terms of H(t) . (c) Sketch the graph of the voltage V

SOLVED: The Heaviside function is used in engineering applications to model flipping a switch. It is defined below:0 if x 0 Sketch the graph of H on the interval [-1, 1]: Does lim H(x) exist? x -> 0 Choose the correct graph below:0AH(x)Does lim H(x) exist? x -> 0 No, because the function has an open circle at (0, 0). Yes, because the function is defined for every value of x in the range [1, 1]. No, because the value of lim H(x) = 0 0 - H(0) = 0. Yes, because the value of lim H(x) = 1.5 is equal

Hyperbolic Functions: Properties & Applications