Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 6, Problem 6.4P
To determine
(a)
The factor by which the voltage
To determine
(b)
The factor by which the capacitance
To determine
(c)
The factor which changes the electric field
To determine
(d)
The factor by which the electric displacement
To determine
(e)
The factor which changes the charge
To determine
(f)
The factor which changes the charge density
To determine
(f)
The factor which changes the total stored energy
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a) Examine the charging and discharging phases of the circuits and then answer the following:
What is the time constant () of both circuits in each case?
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A resistor (of unknown constant resistance) and a 0.02 farad capacitor are connected in series with an emf of E = 100 volts. The initial charge of the capacitor in 5 coulombs. If at t = 1/10 second the current flowing is 30/e amperes on the reverse direction, find the value of the resistance.
2. A parallel plate capacitor 6 mm apart, the area of each plate is 12 cm². The space between the two plates is filled with a dielectric material with K-10. If the capacitor is given a potential difference of 12 Volts, determine: a. Capacitance of capacitorb. Charge on capacitor
Chapter 6 Solutions
Engineering Electromagnetics
Ch. 6 - Prob. 6.1PCh. 6 - Let S = 100 mm2. d= 3 mm, and er = 12 for a...Ch. 6 - Capacitors tend to be more expensive as their...Ch. 6 - Prob. 6.4PCh. 6 - Prob. 6.5PCh. 6 - A parallel-plane capacitor is made using two...Ch. 6 - For the capacitor of Problem 6.6, consider the...Ch. 6 - Prob. 6.8PCh. 6 - Prob. 6.9PCh. 6 - A coaxial cable has conductor dimensions of a =...
Ch. 6 - Prob. 6.11PCh. 6 - (a) Determine the capacitance of an isolated...Ch. 6 - With reference to Figure 6.5, let b=6m, h=15m, and...Ch. 6 - Two=16 copper conductor (1.29 mm diameter) are...Ch. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - Construct a curvilinear-square map for a coaxial...Ch. 6 - Prob. 6.18PCh. 6 - Construct a curvilinear- square map of the...Ch. 6 - Prob. 6.20PCh. 6 - The inner conductor of the transmission line shown...Ch. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - A potential field in free space is given in...Ch. 6 - A capacitor is formed from concentric spherical...Ch. 6 - Given the spherical symmetric field in free space,...Ch. 6 - Let V=z(x,y)=4e2xf(x)3y2 in a region of free space...Ch. 6 - Show that in a homogeneous medium of conductivity...Ch. 6 - What total charge must be located within a unit...Ch. 6 - Prob. 6.30PCh. 6 - For the parallel-plate capacitor shown in Figure...Ch. 6 - Prob. 6.32PCh. 6 - The functions V1 (p, , z) and V2(p, , z) both...Ch. 6 - Prob. 6.34PCh. 6 - Prob. 6.35PCh. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - Prob. 6.41PCh. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - Prob. 6.44PCh. 6 - Prob. 6.45PCh. 6 - By appropriate solution of Laplaces and Poissons...
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- Q1. The voltage across the capacitor of Figure Q1 (a) is shown in (b). Sketch current i(t) scaled with numerical values.arrow_forwardWhen the switch is in position 2, the circuit will discharge the capacitor. Draw the circuit for the discharge phase. (without any of the charge phase components). and determine the time constant for the discharge phase and the equations for v(t) and i(t) for the discharge phase.arrow_forwardQT) For the network in a. Find the mathematical expression for the voltage across the capacitor after the switch is thrown into position 1. b. Repeat part (a) for the current ic. c. Find the mathematical expressions for the voltage ve and current ic if the switch is thrown into position 2 at a time equal to five time constants of the charging circuit. d. Plot the waveforms of V and i for a period of time extending from t = 0 to t = 30 us. %3D 1 E 80 V C7 10 pF R2 390 k2 R1 100 k2arrow_forward
- Please determine if each question is True. If false, please explain why a) A fully charged capacitor behaves identically to a break in the wire (i.e. no current passes through it).b) An uncharged capacitor behaves identically to a break in the wire (i.e. no current passes through it).c) Whether charging or discharging a capacitor, the charge on the capacitor can be modeled using an exponentiallyincreasing function.arrow_forward. In the adjacent figure each of the two capacitors mounted in parallel has a value C,the resistor has a value R, and the power supply has value ɛ= 25 V. Upon closing thekey S the charging process of the two capacitors starts. The initial value of the electriccurrent was I0 = 25 mA, as shown in the table below, then the electric currentdecreased until it vanished at . The table below shows the values of the electriccurrent every two seconds as measured by the ammeter A.a) Determine the value R of the resistor in k ohm units.b)Plot the I-t graph (electric current versus time).c)Determine the circuit constant time from the I-t graph.d)Determine the value C of each capacitor in micro F units.e)Complete the table by evaluating the electric charge q(t) on eachcapacitor at the moments .arrow_forwardcapacitor having capacitance of 10uF is connected with 1k ohm resistor in series. The switch of the DC supply of 10 Volts, closes at t = 0. Compute the following a. Draw a circuit diagram for t- and t+ b. Compute the time constant c. Plot the Voltage with respect to time, showing the behavior of capacitor charging(take at least 10 values of time in seconds to draw a graph).arrow_forward
- 2. 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_forwardOptional practice problems: 1) The figure below shows a parallel-plate capacitor that is connected to a battery (assume negligible resistance in the wires that connect the capacitor to the battery). a) While the battery is still charging the capacitor, rank the potential at points A-E, from lowest to highest BC D E b) After the capacitor is fully charged, rank the potential at points A-E, from lowest to highest. c) The battery is now disconnected from the capacitor and a piece of dielectric material is inserted between the plates. Is the potential difference between points A and E, than, the same as or larger than the potential difference across the battery? Explain your smaller reasoningarrow_forwardA J- type thermocouple is used to measure the temperature in a heating process. The length of the air gap is 12mm and thickness is 0.2mm. If the thermal conductivity of material (K) is 0.025W/m-K, density of the material is 1.2 kg/m3 and specific heat capacity is 1005 J/kg-oc. Find the time constant of the air. Time constant of the bare material is, T=arrow_forward
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