Concept explainers
(a)
Find the energy stored in the element at time
(a)
Answer to Problem 68E
The energy stored in the element at time
Explanation of Solution
Given data:
Write a general expression to calculate the energy stored in an inductor.
Here,
Given data:
Refer to Figure 7.82 in the textbook.
The value of initial current through inductor
Calculation:
Substitute
Substitute
Simplify the above equation to find
Conclusion:
Thus, the energy stored in the element at time
(b)
Determine the value of
(b)
Answer to Problem 68E
The value of
Explanation of Solution
Calculation:
Create the new schematic in LTspice with series connected resistor and inductor of given circuit as shown in Figure 1.
Using SPICE Directive mention the command .ic I(L1)=1m as shown in Figure 2.
Enter the stop time as 500ns, time to start saving data as 0, and maximum Timestep as 25ns in Edit simulation Cmd as shown in Figure 3.
After adding the Spice directives the circuit shows as in Figure 4.
Now run the simulation and place the probe at inductor, the plot of the current through inductor with respect to time is shown as shown in Figure 5.
By placing the cursor on the graph, we obtain the current values for different time as shown in below.
For time
For time
For time
For time
Conclusion:
Thus, the value of
(c)
Find the value of initial energy remains in the inductor at time
(c)
Answer to Problem 68E
The value of initial energy remains in the inductor at time
Explanation of Solution
Calculation:
Refer to part (b), the value of current at time
Substitute
Substitute
Simplify the above equation to find
Substitute
Substitute
Simplify the above equation to find
Conclusion:
Thus, the value of initial energy remains in the inductor at time
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Chapter 7 Solutions
Engineering Circuit Analysis
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