Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 4, Problem 4.23P
A Faraday disk generator is similar to the rotating conductor of 4.22, only now the rotating element is a disk instead of a bar. Derive an expression of the
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For the following magnetic core with an air gap and dimensions as shown in the figure. The
depth of the core is 10 cm:
5 cm
25 cm
5 cm
15 cm
Sm
5 cm
Sm
a) Find the reluctance of the core. The relative permeability 4, 2000. Hint: use depth to
find the area.
b) If the fringing effect increases the effective area of the air gap by 5% (from the area of
the core), find the reluctance of the air gap.
c) If the number of turns in the coil are N = 500, find the current i required to produce a
magnetic field B, = 0.2 T in the air gap.
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Q4. Starting from e = Blv, derive an expression for the induced voltage in a DC generator.
Suppose that, in designing an electrical generator, we need to produce a voltage of 120 V by moving a straight conductor through a uniform magnetic field of 0.5 T at a speed of 30 m/s. The conductor, its motion, and the field are mutually perpendicular. What is the required length of the conductor? It turns out that in generator design, a conductor of this length is impractical, and we must use N conductors of length 0.1 m. However, by connecting the conductors in series, we can obtain the required 120 V. What is the number N of conductors needed?
Chapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 4 - How long does it take for charge density to drop...Ch. 4 - At a particular point in a slab of silver, a...Ch. 4 - A current density is given by J=e.01taA/m2. Find...Ch. 4 - At t=0s, 60.0C is evenly distributed throughout a...Ch. 4 - A propagating electric field is given by...Ch. 4 - A 10.0-MHz magnetic field travels in a fluid for...Ch. 4 - Modify the simple wave program in MATLAB 4.1 to...Ch. 4 - Modify the traveling wave program in MATLAB 4.2 to...Ch. 4 - Prob. 4.9PCh. 4 - A bar magnet is dropped through a conductive ring....
Ch. 4 - Considering Figure 4.7, suppose the area of a...Ch. 4 - Sometimes a transformer is used as an impedance...Ch. 4 - Prob. 4.13PCh. 4 - The mean length around a nickel core of a...Ch. 4 - A triangular wire loop has its vertices at the...Ch. 4 - Referring to Figure 4.23, suppose a conductive bar...Ch. 4 - Suppose we have a conductive bar moving along a...Ch. 4 - The radius r of a perfectly conducting metal loop...Ch. 4 - Rederive Vemf for the rectangular loop of Figure...Ch. 4 - In Figure 4.16, replace the rectangular loop with...Ch. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - A Faraday disk generator is similar to the...Ch. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Suppose a vector field is given by A=2cosaz Verify...Ch. 4 - A pair of 60cm2 area plates are separated by a...Ch. 4 - Plot the loss tangent of seawater ( =4S/m and r=81...Ch. 4 - A 1.0-m-long coaxial cable of inner conductor...Ch. 4 - Suppose in free space that E(z,t)=5.0e2ztaxV/m. Is...Ch. 4 - An electric field propagating in a lossless...Ch. 4 - A magnetic field propagating in free space is...Ch. 4 - Find the instantaneous expression for E for the...Ch. 4 - Given, at some point distant from a source at the...Ch. 4 - In a lossless, nonmagnetic media, the magnetic...Ch. 4 - Suppose, in a nonmagnetic medium of relative...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Find E(z,t) in Problem 4.32 using phasors.Ch. 4 - Prob. 4.41PCh. 4 - Find H(y,t) in Problem 4.36 using phasors.Ch. 4 - In MATLAB 4.4, a polar plot of the phasor...
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- With the aid of Figure Q4(a), explain Lenz's Law. Illustrate the direction of the induced voltage generated by the loop. B The applied magnetic field is increasing y Figure Q4(a)arrow_forwardFor this problem, please use the figure below. For the magnetic core, the mean length is 50 cm, cross-sectional area is 5 square cm, and relative permeability of the core is (8000/). If the length of the air gap is 0.00525 cm (yes, multiplied by pi) and assuming fringing in the air gap causes the effective cross-sectional area to increase by 5%, determine the total reluctance for this magnetic circuit. Express your answer in ampere-turns per weber, rounded off to the nearest thousand [1,000 A- t/Wb]. Figure for Problem 5 Core: mean length le area A. permeability j Coil: N turns Answer: Air gaparrow_forward6) a) Current is generally defined with respect to ...b) Current in a wire is defined with respect to ...c) Derive how much current flows through a closed surface in the magnetostatic case. d) Derive magnetic flux through a closed surface for a non-magnetostatic case.arrow_forward
- 3 Biot-Savart for Curved Wire A segment of a closed current loop is shown in the following figure. Compute the magnetic field at the center of the semi-circle due to the straight and curved segments shown. b (Technically, to use the Biot-Savart law for currents in a wire, the current must be constant, and the wire must form a closed loop. As a result, there will be a contribution to the magnetic field at the origin due to the parts of the closed loop that are not shown. However, here we assume that the not- shown part of the loop is far enough away that they can be neglected.)arrow_forwardType of power generation that uses the flow of conductive gases through magnetic field for generation is .. .... .··. ... .. Answer:arrow_forwardAn 8-pole, wave-connected armature has 600 conductors and is driven at 625rev/min. If the flux per pole is 20mWb. Determine the generated e.m.f. -arrow_forward
- State Ampere's circuital law. Hence find the expression for the magnetic field strength ( B ) of a long current carrying solenoid.arrow_forwarda. If the material is the ideal material, N1I1 = 200, NIA = 100 and NIB = 150 If I am ampersand, what is the flux density in the middle of the air gap? okay? Calculate by drawing the magnetic circuit. b. If the material is not the ideal material (µr), the core material of each winding Find the inductance in terms of parameters c. What is mutual inductance between windings? D. Check the magnetic equivalent circuit of this system that there are no leakage fluxes. draw assuming. New magnetic with leakage fluxes in mind How about a circuit, draw?arrow_forwardQ4// A ring of a mean diameter 30 cm and cross sectional area of 15 cm2 is made up of semi – circular sections of cast iron and cast steel. If each joint has an air gap of 0.25 mm. Find amper turns required to produce a flux of 7 x 10 weber in the magnetic circuit. The relative permeability of steel and iron are 852 and 165 respectively. - OA- Amper turns required= 1105 OB- Amper turns required= 1995 OC- Amper turns required= 2250 OD- Amper turns required= 3150 OE- None of above ارسال الاجابةarrow_forward
- In induction heater, heat is produced in magnetic materials when they are exposed to an direct-current field. Select one: True Falsearrow_forward4. In this figure, considering the straight wire is very long, find the magnetic flux through the loop. If the loop is directly pulled away from the wire, find the emf induced and the direction of induced current in the loop. a aarrow_forward4. A two-legged magnetic core with an air gap is shown in figure below. The depth of the core is 5 cm, the length of the air gap in the core is 0.07 cm, and the number of turns on the coil is 500. The magnetization curve of the core material is shown next to it. Assume a 5 percent increase in effective air-gap area to account for fringing. How much current is required to produce an air-gap flux density of 0.5 T? What are the flux densities of the four sides of the core at that current? What is the total flux present in the air gap? 10 cm 1.25 1.00 0.75 N- 500 tums 0.07 cm : 30 cm 0.50 0.25 10 cm 0.0 100 1000 30 cm Magnetizing intensity, A turns/m Depth = 5 cm [0.00131 Wb, 0.524 T, 0.262 T, 1.46 A] Flux density, Tarrow_forward
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