Concept explainers
(a)
The energy stored in the capacitor.
Answer to Problem 4.9HP
The energy stored by the capacitor for different time interval is
Explanation of Solution
Calculation:
The given diagram is shown in Figure 1
The expression for the energy stored by the capacitor is given by,
Substitute
Substitute
Substitute
Substitute
Substitute
The energy stored by the capacitor for different time interval is given by,
Conclusion:
Therefore, the energy stored by the capacitor for different time interval is
(b)
The energy delivered by the source.
Answer to Problem 4.9HP
The expression for the energy delivered by the source for different time interval is
Explanation of Solution
Calculation:
The expression for the energy delivered by the source is given by,
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
Therefore, the expression for the energy delivered by the source for different time interval is
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Chapter 4 Solutions
Principles and Applications of Electrical Engineering
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- Consider the circuit shown in Figure P4.54. a. Write the differential equation for i(t). b. Find the time constant and the form of the complementary solution. c. Usually, for an exponential forcing function like this, we would try a particular solution of the form ip(t)=K exp (−3t). Why doesn’t that work in this case? d. Find the particular solution. [Hint: Try a particular solution of the form ip(t)=K t exp(−3t).] e. Find the complete solution for i(t).arrow_forwardWrite the differential equation for i L(t) and find the complete solution for the circuit of Figure P4.45. [Hint: Try a particular solution of the form i Lp ( t )=A e −t .]arrow_forwardThe coil resistor in series with L models the internallosses of an inductor in the circuit of Figure P4.53.Determine the current supplied by the source ifvs(t) = Vo cos(ωt + 0)Vo = 10 V, ω = 6 M rad/s, Rs = 50 Rc = 40 L = 20 μH C = 1.25 nFarrow_forward
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