Electrical Engineering: Principles & Applications (7th Edition)
7th Edition
ISBN: 9780134484143
Author: Allan R. Hambley
Publisher: PEARSON
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Chapter 4, Problem 4.6P
At time
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Chapter 4 Solutions
Electrical Engineering: Principles & Applications (7th Edition)
Ch. 4 - Suppose we have a capacitance C discharging...Ch. 4 - The dielectric materials used in real capacitors...Ch. 4 - The initial voltage across the capacitor shown in...Ch. 4 - A 100F capacitance is initially charged to 1000 V....Ch. 4 - At t = 0, a charged 10{ F capacitance is connected...Ch. 4 - At time t1 , a capacitance C is charged to a...Ch. 4 - Given an initially charged capacitance that begins...Ch. 4 - The initial voltage across the capacitor shown in...Ch. 4 - In physics, the half-life is often used to...Ch. 4 - We know that a 50F capacitance is charged to an...
Ch. 4 - We know that the capacitor shown in Figure P4.11...Ch. 4 - The purchasing power P of a certain unit of...Ch. 4 - Derive an expression for vC(t) in the circuit of...Ch. 4 - Suppose that at t= 0, we connect an uncharged 10 F...Ch. 4 - Suppose we have a capacitance C that is charged to...Ch. 4 - A person shuffling across a dry carpet can be...Ch. 4 - Prob. 4.17PCh. 4 - Consider the circuit shown in Figure P4.18. Prior...Ch. 4 - List the steps for dc steady-state analysis of RLC...Ch. 4 - Explain why we replace capacitances with open...Ch. 4 - Solve for the steady-state values of i1, i2, and...Ch. 4 - Consider the circuit shown in Figure P4.22. What...Ch. 4 - In the circuit of Figure P4.23, the switch is in...Ch. 4 - The circuit shown in Figure P4.24 has been set up...Ch. 4 - Solve for the steady-state values of i1 , i2, i3,...Ch. 4 - The circuit shown in Figure P4.26 is operating in...Ch. 4 - Prob. 4.27PCh. 4 - Consider the circuit of Figure P4.28 in which the...Ch. 4 - For the circuit shown in Figure P4.29, the switch...Ch. 4 - Consider the circuit of Figure P4.30 in which the...Ch. 4 - Give the expression for the time constant of a...Ch. 4 - A circuit consists of switches that open or close...Ch. 4 - The circuit shown in Figure P4.33 is operating in...Ch. 4 - Consider the circuit shown in Figure P4.34. The...Ch. 4 - Repeat Problem P4.34 given iL(0)=0A .Ch. 4 - Real inductors have series resistance associated...Ch. 4 - Determine expressions for and sketch is(t) to...Ch. 4 - For the circuit shown in Figure P4.38,, find an...Ch. 4 - The circuit shown in Figure P4.39 is operating in...Ch. 4 - Consider the circuit shown in Figure P4.40. A...Ch. 4 - Due to components not shown in the figure, the...Ch. 4 - The switch shown in Figure P4.42 has been closed...Ch. 4 - Determine expressions for and sketch vR(t) to...Ch. 4 - What are the steps in solving a circuit having a...Ch. 4 - Prob. 4.45PCh. 4 - Solve for vC(t) for t > 0 in the circuit of Figure...Ch. 4 - Solve for v(t) for t > 0 in the circuit of Figure...Ch. 4 - Prob. 4.48PCh. 4 - Consider the circuit shown inFigure P4.49. The...Ch. 4 - Consider the circuit shown in Figure P4.50. The...Ch. 4 - The voltage source shown in Figure P4.51 is called...Ch. 4 - Determine the form of the particular solution for...Ch. 4 - Determine the form of the particular solution for...Ch. 4 - Prob. 4.54PCh. 4 - Prob. 4.55PCh. 4 - How can first-or second-order circuits be...Ch. 4 - Prob. 4.57PCh. 4 - Prob. 4.58PCh. 4 - Prob. 4.59PCh. 4 - Sketch a step response for a second-order system...Ch. 4 - A dc source is connected to a series RLC circuit...Ch. 4 - Repeat Problem P4.61 for R = 40 .Ch. 4 - Repeat Problem P4.61 for R = 20 .Ch. 4 - Prob. 4.64PCh. 4 - Repeat Problem P4.64 for R=50 .Ch. 4 - Repeat Problem P4.64 for R=500 .Ch. 4 - Solve for i(t) for t > 0 in the circuit of Figure...Ch. 4 - Prob. 4.68PCh. 4 - Prob. 4.69PCh. 4 - Prob. 4.70PCh. 4 - Use MATLAB to derive an expression for vc(t)in the...Ch. 4 - Prob. 4.72PCh. 4 - Consider the circuit shown in FigureP4.50 in which...Ch. 4 - Prob. 4.74PCh. 4 - Prob. 4.75PCh. 4 - Use MATLAB to solve for the mesh currents in the...Ch. 4 - The switch m the circuit shown in Figure T4.1 is...Ch. 4 - Prob. 4.2PTCh. 4 - Consider the circuit shown in Figure T4.3. Figure...Ch. 4 - Consider the circuit shown in Figure T4.4 in which...Ch. 4 - Write the MATLAB commands to obtain the solution...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The current shown below is applied to a 0.25??capacitor. The initial voltage on the capacitor is zero.a) Find the charge on the capacitor at ?=15??.b) Find the voltage on the capacitor at ?=30??c) How much energy is stored in the capacitor by this current?arrow_forwardAt time t1 a capacitance C is charged to a voltage of V1. Then, the capacitance discharges through a resistance R. Write an expression for the voltage across the capacitance as a function of time for t> t 1 in terms of R, C, V1 and t1.arrow_forward1. Inquire about the operational and geometric definitions of capacitance C. [C = = ε0 , please refer to previous lesson on capacitance.] 2. Have the students write down the meaning of each of the symbols present in the above definitions.arrow_forward
- The expression for capacitor voltage in an RC circuit (assuming no initial charge) when DC voltage is applied is ??(?) =?s (1 - ?− (t ⁄??) ) Assume Vs = 10 V, C = 50 ??, and R = 100 . Calculate capacitor voltage when t = : 1*RC _____ 5*RC _______ 10*RC ______ 2. The voltage across an inductor when a DC voltage is switched on is ?? (?) ??− ( t ⁄ ?⁄? ). Assume Vs = 10 V, L = 1 mH, and R = 1 Ohm. Find the voltage across the capacitor at t = : 0 ms __________ 1 ms __________ 10 ms __________ Derivation: Consider the equation for ? : ?? = √(1⁄??) − (?⁄2?)2 Oscillation will occur only when this expression is a real number (not an imaginary number). Solving, we see that the expression is a real number when (1 ⁄??)> (?⁄ 2? )2. If C = 0.01 uF capacitance and L = 10 mH, what is the largest value of R for this condition to be true?arrow_forwardConsider the circuit above. The switch has been closed for a very long time before opening at t=0s. Determine the Inductor current (in amperes) right after the switch has been opened, the time constant of the circuit for ?>0 (in ms), and the Expression for the inductor current for ?≥0.arrow_forwardConsider a coaxial capacitor, radius a and b, and length L, as shown in the figure below.The capacitor it is partially filled with dielectric (ɛ, length D).The rest is air (ɛ0). Consider that (L, D >> (b-a)). The inner conductor (r = a) is held at constant potential V and the outer conductor (r = b) is grounded.I)Determine capacitanceIl)Consider the situations D → 0 and D → L. Determine the new capacitance valuesarrow_forward
- present a derivation for the expressions of the energy stored in a capacitor and inductorarrow_forward2. A parallel plate capacitor with a plate area of 0.13 square meters separated by 1 mm is charged to 9 Volts by a battery, which is then disconnected. The plate separation is then increased to 40 mm.A. Using the expression for the capacitance of a parallel plate capacitor, what do you expect the new potential difference across the plates to be after the increase?B. Suppose you measure the potential difference across the plates after the separation and find it to be 30 V (this should be very different from what you found in part A). This unexpected result can be explained by the effects of “stray capacitance” with nearby objects. Assuming that the stray capacitance can be modeled as a capacitor connected in parallel with the parallel plate capacitor, find the value of this stray capacitance.arrow_forwardIf a current i(t)=5sin(10t) mA flows through an inductor of inductance L=10 H, then find out the expression of the voltage developed across the inductor and express it as a function of time.arrow_forward
- Assignment No. 5 Inductance, Capacitance, and Mutual Inductance a.) Find the voltage across the inductor for t > 0. (Assume the passive signconvention.)b.) Find the power (in microwatts) at the terminals of the inductor when t = 5 ms.c.) Is the inductor absorbing or delivering power at 5 ms?d.) Find the energy (in microjoules) stored in the inductor at 5 ms.e.) Find the maximum energy 9in microjoules) stored in the inductor and the time(in milliseconds) when it occurs.arrow_forwardGive the expression for the time constant of a circuit consisting of an inductance with an initial current in series with a resistance R. To attain a long time constant, do we need large or small values for R? For L?arrow_forward(a) Determine the equilibrium charge on the capacitor in the circuit shown as a function of R. (b) Evaluate the charge when R = 10.0 Ω. (c) Can the charge on the capacitor be zero? If so, for what value of R? (d) What is the maximum possible magnitude of the charge on the capacitor? For what value of R is it achieved? (e) Is it experimentally meaningful to take R = ∞? Explain your answer. If so, what charge magnitude does it imply?arrow_forward
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