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The voltage across a 0.5-mH inductor, Plotted as a function of time, is shown in Figure P4.12. Determine the current through the inductor at
The current through the inductor at
Answer to Problem 4.12HP
The current through the inductor at
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1
The conversion from
The conversion from
The conversion from
The conversion from
The conversion from
The conversion from
From the graph the expression for the voltage between the points
From the graph the expression for the voltage between the points
From the graph the expression for the voltage at
The expression for the voltage across the inductor is given by,
The initial current through the inductor is given by,
The expression for the current through the inductor is given by,
Substitute
From equation (1) the current through the inductor for the time interval
Substitute
Substitute
From equation (1) the current through the inductor for the time interval
Substitute
Solve further as,
Substitute
The expression for the current through the inductor for interval
Substitute
Substitute
Conclusion:
Therefore, the current through the inductor at
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Chapter 4 Solutions
Principles and Applications of Electrical Engineering
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