Concept explainers
The voltage across a generic element X has the waveform shown in Figure P4.15. For
a.
b.
c. 7-mH inductor.
(a)
The current through the given element for the given voltage waveform.
To plot:
A graph of current through the element for
Answer to Problem 4.15HP
The current through the given element for the given voltage waveform is
A graph of current through the element for
Explanation of Solution
Given information:
Element is resistor and its value is
The given voltage waveform is shown below.
Calculation:
Consider the given graph for the voltage.
For
For
So, voltage can be written as
The given element is resistor. The current across it will be
Voltage
For
For
Current
A graph of current with respect to time is shown below.
Figure 1
(b)
The current through the given element for the given voltage waveform.
To plot:
A graph of current through the element for
Answer to Problem 4.15HP
The current through the given element for the given voltage waveform is
A graph of current through the element for
Explanation of Solution
Given information:
Element is capacitor and its value is
The given voltage waveform is shown below.
Calculation:
Consider the given graph for the voltage.
For
For
So, voltage can be written as
The given element is capacitor. The current across it will be
Voltage
For
For
Current
A graph of current with respect to time is shown below.
Figure 2
(c)
The current through the given element for the given voltage waveform.
To plot:
A graph of current through the element for
Answer to Problem 4.15HP
The current through the given element for the given voltage waveform is
A graph of current through the element for
Explanation of Solution
Given information:
Element is inductor and its value is
The given voltage waveform is shown below.
Calculation:
Consider the given graph for the voltage.
For
For
So, voltage can be written as
The given element is inductor. The current across it will be
Voltage
For
For
Current
A graph of current with respect to time is shown below.
Figure 3
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