Electrical Engineering: Principles & Applications, 7th Edition
7th Edition
ISBN: 9780134485201
Author: Allan R. Hambley
Publisher: PEARSON
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Question
Chapter 3, Problem 3.37P
To determine
The electrical energy stored in the capacitor before and after it is immersed in the insulating liquid and the source of extra energy.
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Chapter 3 Solutions
Electrical Engineering: Principles & Applications, 7th Edition
Ch. 3 - What is a dielectric material? Give two examples.Ch. 3 - Briefly discuss how current can flow “through” a...Ch. 3 - What current flows through an ideal capacitor if...Ch. 3 - Describe the internal construction of capacitors.Ch. 3 - A voltage of 50 V appears across a 10F capacitor....Ch. 3 - A 2000F capacitor, initially charged to 100V, is...Ch. 3 - A 5F Capacitor ischarged to 1000 V. Determine the...Ch. 3 - The voltage across a 10F capacitor is given by v...Ch. 3 - The voltage across a 1F capacitor is given by...Ch. 3 - Prior to t = 0, a 100F capacitance is uncharged...
Ch. 3 - The current through a 0.5F capacitor is shown in...Ch. 3 - Determine the capacitor voltage, power, and stored...Ch. 3 - A current given by i(t)=Imcos(t) flows through a...Ch. 3 - The current through a 3F capacitor is shown in...Ch. 3 - A constant (dc) current i(t)=3 mA flows into a 50F...Ch. 3 - The energy stored in a 2F capacitor is 200 J and...Ch. 3 - At t=t0 the voltage across a certain capacitance...Ch. 3 - An unusual capacitor has a capacitance that is a...Ch. 3 - For a resistor, what resistance corresponds to a...Ch. 3 - Suppose we have a very large capacitance (ideally,...Ch. 3 - We want to store sufficient energy in a 001-F...Ch. 3 - A 100F capacitor has a voltage given by v(t)=1010...Ch. 3 - How are capacitances combined in series and in...Ch. 3 - Find the equivalent capacitance for each of the...Ch. 3 - Find the equivalent capacitance between terminals...Ch. 3 - A network has a 5F capacitance in series with the...Ch. 3 - What are the minimum and maximum values of...Ch. 3 - Two initially uncharged capacitors C1=15F and...Ch. 3 - Suppose that we are designing a cardiac pacemaker...Ch. 3 - Suppose that we have two 100F capacitors One is...Ch. 3 - Determine the capacitance of a parallel-plate...Ch. 3 - A 100-pF capacitor is constructed of parallel...Ch. 3 - We have a parallel-plate capacitor with plates of...Ch. 3 - Suppose that we have a 1000-pF parallel-plate...Ch. 3 - Two 1F capacitors have an initial voltage of 100 V...Ch. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - A parallel-plate capacitor is used as a vibration...Ch. 3 - A 0.1F capacitor has a parasitic series resistance...Ch. 3 - Prob. 3.40PCh. 3 - Briefly discuss how inductors are constructed.Ch. 3 - The current flowing through an inductor is...Ch. 3 - If the current through an ideal inductor is...Ch. 3 - Briefly discuss the fluid-flow analogy for an...Ch. 3 - The current flowing through a 2-H inductance is...Ch. 3 - The current flowing through a 100-mH inductance is...Ch. 3 - The current flowing through a 2-H inductance is...Ch. 3 - The voltage across a 2-H inductance is shown in...Ch. 3 - The voltage across a 10 H inductance is given by...Ch. 3 - A 2-H inductance has i(0) = 0 and v(t)=texp(t) for...Ch. 3 - A constant voltage of 10V is applied to a 50H...Ch. 3 - At t = 0, the current flowing in a 05-H inductance...Ch. 3 - The current through a 100-mH inductance is given...Ch. 3 - Prior to t= 0, the current in a 2-H inductance is...Ch. 3 - At t= 0, a constant 5-V voltage source is applied...Ch. 3 - Prob. 3.56PCh. 3 - Al t= 5 s, the energy stored in a 2-H inductor is...Ch. 3 - What value of inductance (having zero initial...Ch. 3 - To what circuit element does a very large...Ch. 3 - The voltage across an inductance L is given by...Ch. 3 - Discuss how inductances are combined in series and...Ch. 3 - Determine the equivalent inductance for each of...Ch. 3 - Find the equivalent inductance for each of the...Ch. 3 - What is the maximum inductance that can be...Ch. 3 - Suppose we want to combine (in series or in...Ch. 3 - Prob. 3.66PCh. 3 - Two inductances L1=1H and L2=2H are connected in...Ch. 3 - A 10-mH inductor has a parasitic series resistance...Ch. 3 - Draw the equivalent circuit for a real inductor,...Ch. 3 - Suppose that the equivalent circuit shown in...Ch. 3 - Consider the circuit shown in Figure P3.71 in...Ch. 3 - The circuit shown in Figure P3.72 has...Ch. 3 - Describe briefly the physical basis for mutual...Ch. 3 - The mutually coupled inductances in Figure P3.74...Ch. 3 - Repeat Problem P3.74 with the dot placed at the...Ch. 3 - a. Derive an expression for the equivalent...Ch. 3 - Consider the parallel inductors shown in Figure...Ch. 3 - Consider the mutually coupled inductors shown in...Ch. 3 - Mutually coupled inductances have...Ch. 3 - The current through a 200-mH inductance is given...Ch. 3 - A 1-H inductance has iL(0)=0 and vL(t)=texp(t) for...Ch. 3 - The current flowing through a 10F capacitor having...Ch. 3 - Determine the equivalent capacitance Ceq for...Ch. 3 - A certain parallel-plate capacitor has plate...Ch. 3 - A 2-mH inductance has iab=0.3sin(2000t)A . Find an...Ch. 3 - Determine the equivalent inductance Leq between...Ch. 3 - Given that vc(t)=10sin(1000t)V , find vs(t)in the...Ch. 3 - Prob. 3.7PTCh. 3 - The current flowing through a 20F capacitor having...
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- What is a dielectric material, and what does it do? a. What are 3 ways capacitance can be increased by changing the materials?arrow_forwardSuppose we have a very large capacitance (ideally, infinite) charged to 10 V. What othercircuit element has the same current-voltage relationship? Explain your answer.arrow_forwardWe want to investigate how the field strength will be with air as dielectric and with steatite. A plate capacitor is placed in a 24 kV network between phase and ground. The relative permittivity of air is &=1 and for steatite &-6. The plate capacitor has area = 1m². The distance between the electrodes is 2 mm. Ep = 8.854-10-12 F/m A=1m² d=2mm a) Calculate the maximum field strength in the plate capacitor. (Answer: 9.8kV/mm) b) What is the capacitance of the capacitor if we use steatite? (Answer: C = 26.6nF)arrow_forward
- Optional 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_forwardQ19. For the series-parallel inductor circuit shown in figure B19, answer the following questions. L2 2mH 4mH L3 L4 SMHS 5mH 3.5mH L6 8mH L7 2mH L3 4.5mH e Figure B19 Determine the inductance, L3 value. ii) If E is the energy stored in inductor for current, Calculate the energy if the current value is increased twice.arrow_forwardFor a given RC charging circuit with R 82KOhms, C 150UF and Vs 18 V, i. Calculate the capacitor charging voltage at t- ii. Specify the charging current at 2T where T= RC. iii. Explain the effect in the charging period if the value of R is doubled with the capacitance value of C kept constant. Prove your answer by computing the resulting full-charge periods when R is 82KOhms and when R is doubled with C kept constant. %3D (1 mark) (1 mark) 3D3T. (2 marks)arrow_forward
- If C1 = C2 = C3= 16 nF, calculate the equivalent capacitance, in nF, between points A and B in the diagram below. Give your answer to two significant figures. A. C₁ C₂ ... Barrow_forwardA parallel plate capacitor has its plates separated by 0.5 mm of air. The area plates is 2 m? and they are charged to a p.d.of 100 V.The plates are pulled apart untill they are separated by1 mm of air.Assuming the p.d. to remain unchanged, what is the mechanical force experienced the plates?arrow_forwardThe network Nc shown below in Figure 1.99(a) contains a combination of scaled capaci- tors in series and parallel connections. Using the vahues as shown, you are asked to do the following. (a) Calculate the value of the terminal capacitance Cab at terminals a-b. (b) To obtain an equivalent capacitance Ceq of 1.5F, Nc is to be placed either in series with a capacitance Cz as shown in Figure 1.99(b) or in parallel with Cx as shown in Figure 1.99(c). Determine which connection is correct and calculate the value of C; that will produce the value of 1.5F for Ceg- 4F 2F 3F 1F C OF (a) N. N. 2. (b) (c) Figure 1.99 (a) Capacitor combo Nc (b) Nc in series with C, (c) Ne in parallel with C,arrow_forward
- t is in seconds..arrow_forwardDraw and solvearrow_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_forward
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