fo if t<0 H(t) = 1 if t>0
The Heaviside function H is defined as given in the question
It is used in the study of electric circuits to represent the
sudden surge of
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= 0and 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(t) in a circuit if the
switch is turned on at time t= 5 seconds and 240 volts
are applied instantaneously to the circuit. Write a formula
for V(t) in terms of H(t). (Note that starting at t=5
corresponds to a translation.)
(a) The heavy side function is given as:
The graph is:
(b.) The voltage is given as:
In terms of H(t),
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