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erincamel230Lv1
15 Apr 2020
The Heaviside function H is defined by
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 theswitch 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(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 = 5correspondsto a translation.)
The Heaviside function H is defined by
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 theswitch 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(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 = 5correspondsto a translation.)
Nestor RutherfordLv2
22 May 2020
, which represents a gradual increase in voltage or current in a circuit.
..
in a circuit if the switch is turned on at time 
and the voltage is gradually increased to 120 volts over a 60-second time interval.
seconds and the voltage is gradually increased to 100 volts over a period of 25 seconds.
for 
.