Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 3, Problem 3.10P
For the ring of current described in MATLAB 3.2, find H at the following points: (a)
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A cylindrical solenoid 49 cm long with a radius of 7 mm has 325 tightly-wound turns of wire uniformly distributed along its length (see the figure). Around the middle of the solenoid is a two-turn rectangular loop 3 cm by 2 cm made of resistive wire having a resistance of 135 ohms. One microsecond after connecting the loose wire to the battery to form a series circuit with the battery and a 20 resistor, what is the magnitude of the current in the rectangular loop and its direction (clockwise or counter-clockwise in the diagram)? (The battery has an emf of 9 V.)
Please show complete solutions. Thank you.
For the circuit shown, since IR5 is flowing out of the short circuit, the value of IR5=0 as current will travel the short circuit path instead. Am i right?
Also, is IR4=0 as well
Chapter 3 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 3 - Find AB for the following: A=2ax3ay+4az,B=5ay1az...Ch. 3 - Prob. 3.2PCh. 3 - Given the vertices of a triangle...Ch. 3 - A segment of conductor on the z–axis extends...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - A square conductive loop in the shape 10.0 cm is...Ch. 3 - A conductive loop in the x–y plane is bounded by...Ch. 3 - How close do you have to be to the middle of a...Ch. 3 - For the ring of current described in MATLAB 3.2,...
Ch. 3 - A solenoid has 200 turns, is 10.0 cm long, and has...Ch. 3 - For the solenoid of the previous problem, plot the...Ch. 3 - Prob. 3.13PCh. 3 - Two infinite extent current sheets exist at z=2.0m...Ch. 3 - An infinite extent current sheet with K=6.0ayA/m...Ch. 3 - Given the field H=3y2ax, find the current passing...Ch. 3 - Given a 3.0–mm–radius solid wire centered on...Ch. 3 - Given a 2.0–cm–radius solid wire centered on...Ch. 3 - An infinitesimally thin metallic cylindrical shell...Ch. 3 - A cylindrical pipe with a 1.0–cm wall thickness...Ch. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Consider the toroid in Figure 3.55 that is tightly...Ch. 3 - Find A for the following fields: A=3xy2/zax...Ch. 3 - Find J at (3m,60,4m) for H=(z/sin)a(2/cos)azA/mCh. 3 - Suppose H=y2ax+x2ayA/m .(a) Calculate HdL around...Ch. 3 - Prob. 3.27PCh. 3 - Suppose you have the field H=rcosaA/m. Now...Ch. 3 - Prob. 3.29PCh. 3 - Suppose an infinite extent sheet of current with...Ch. 3 - Prob. 3.31PCh. 3 - A 1.0nC charge with velocity 100.m/s in the y...Ch. 3 - A 1.0nC charge with velocity 100.m/s in the z...Ch. 3 - A 10.nC charged particle has a velocity...Ch. 3 - What electric field is required so that the...Ch. 3 - An electron (with rest mass Me=9.111031kg and...Ch. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Suppose you have a pair of parallel lines each...Ch. 3 - In Figure 3.57, a 2.0-A line of current is shown...Ch. 3 - Modify MATLAB 3.4 to find the differential force...Ch. 3 - Prob. 3.43PCh. 3 - A square loop of 1.0-A current of side 4.0 cm is...Ch. 3 - A current sheet K=100axA/m exists at z=2.0cm. A...Ch. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - A solid nickel wire of diameter 2.0 mm evenly...Ch. 3 - Prob. 3.49PCh. 3 - The plane y = O separates two magnetic media....Ch. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - In Figure 3.59, a 2.0-cm-diameter toroidal core...Ch. 3 - Suppose the 2.0-cm-diameter core of the toroid in...Ch. 3 - Prob. 3.64PCh. 3 - Consider a 1.0-mm air gap in Figure 3.49a. The...
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- Can you solve this problem?please.. thank you. K=9 Q1,Q2,Q3 = 30°arrow_forwardThe circuit shown in the given figure is a model of a solenoid, such as that used to engage the gear of a car’s starter motor to the engine’s flywheel. The solenoid is constructed by winding a wire around an iron core to make an electromagnet. The resistance R is that of the wire, and the inductance L is due to the electromagnetic effect. When the supply voltage vs is turned on, the resulting current activates the magnet, which moves the starter gear. Obtain the model of the current i given the supply voltage vs.arrow_forwarda) An AC bridge circuit is constructed for measurement laboratory as shown in Figure Q3 (a). Its function is to measure the unknown value of capacitance during the null condition from the galvanometer. A R2 Detector Figure Q3(a) With reference to Figure Q3(a), answer the following questions: (i) Starting from equation (1), derive in detail the equations for resistance Rx and capacitance Cx, respectively as in equations (2) and (3). Z,Zx = Z,Z3 (1) Cx and Rx: R2C1 Rx C3 (2) R1 Сх (3) CS Scanned with CamScannefarrow_forward
- Given circuit, capacitor voltage is at 0 V with switch SW1 open. At time t0, switch SW1 is closed. At time t0, what is the voltage v? What is the voltage v at time infinity? At time t0, what is the current through R2? What is the current through R2 at time infinity?arrow_forwardshow complete solution for the followingarrow_forwardH:10) Connect a battery to a solenoidA cylindrical solenoid 40 cm long with a radius of 2 mm has 300 tightly-wound turns of wire uniformly distributed along its length (see the figure). Around the middle of the solenoid is a two-turn rectangular loop 3 cm by 2 cm made of resistive wire having a resistance of 195 ohms. One microsecond after connecting the loose wire to the battery to form a series circuit with the battery and a 20 resistor, what is the magnitude of the current in the rectangular loop and its direction (clockwise or counter-clockwise in the diagram)? (The battery has an emf of 9 V.) ................A clockwise counter clockwisearrow_forward
- :The potential at point P due to Q1 and Q2 is Q1 = = 1x10-12C 0.5 m Q2 = 1x10-12C %3D 0.5 m 50 cmarrow_forwardThe definition of the nexus is given by the equation and the graph of the tip given in the figure. Obtain the Thevenin equivalent of the 2-tuple a-b containing this 3-nucleus.arrow_forward4. Suppose now that we include a real and ideal battery to create a RC circuit with the resistors in parallel. Imagine that the resistors in parallel go before the capacitor. The battery has an electromotive force E = 4 V. (a) What is kirchoff's law for a charging and discharging capacitor? write out both general expressions and explain what the differences are. Draw plots for both. (b) Over time, the capacitor begins to oscillate in its separation. Solve for the capacitor separation x(t) as a function of time t for a charging unknown сараcitor.arrow_forward
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