Fundamentals of Applied Electromagnetics (7th Edition)
7th Edition
ISBN: 9780133356816
Author: Fawwaz T. Ulaby, Umberto Ravaioli
Publisher: PEARSON
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Textbook Question
Chapter 5.1, Problem 5E
A square coil of 100 turns and 0.5 m long sides is in a region with a uniform magnetic flux density of 0.2 T. If the maximum magnetic torque exerted on the coil is 4 × 10−2 (N·m). what is the current flowing in the coil?
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Chapter 5 Solutions
Fundamentals of Applied Electromagnetics (7th Edition)
Ch. 5.1 - What are the major differences between the...Ch. 5.1 - Prob. 2CQCh. 5.1 - How is the direction of the magnetic moment of a...Ch. 5.1 - If one of two wires of equal length is formed into...Ch. 5.1 - An electron moving in the positive x direction...Ch. 5.1 - A proton moving with a speed of 2 106 m/s through...Ch. 5.1 - A charged particle with velocity u is moving in a...Ch. 5.1 - A horizontal wire with a mass per unit length of...Ch. 5.1 - A square coil of 100 turns and 0.5 m long sides is...Ch. 5.2 - Two infinitely long parallel wires carry currents...
Ch. 5.2 - Devise a right-hand rule for the direction of the...Ch. 5.2 - What is a magnetic dipole? Describe its magnetic...Ch. 5.2 - Prob. 6ECh. 5.2 - A wire carrying a current of 4 A is formed into a...Ch. 5.2 - Prob. 8ECh. 5.3 - What are the fundamental differences between...Ch. 5.3 - Prob. 9CQCh. 5.3 - Compare the utility of applying the BiotSavart law...Ch. 5.3 - Prob. 11CQCh. 5.3 - A current I flows in the inner conductor of a long...Ch. 5.3 - The metal niobium becomes a superconductor with...Ch. 5.5 - What are the three types of magnetic materials and...Ch. 5.5 - What causes magnetic hysteresis in ferromagnetic...Ch. 5.5 - Prob. 14CQCh. 5.5 - The magnetic vector M is the vector sum of the...Ch. 5.6 - With reference to Fig. 5-24, determine the single...Ch. 5.7 - Prob. 15CQCh. 5.7 - What is the difference between self-inductance and...Ch. 5.7 - Prob. 17CQCh. 5.7 - Use Eq. (5.89) to obtain an expression for B at a...Ch. 5 - An electron with a speed of 8 106 m/s is...Ch. 5 - When a particle with charge q and mass m is...Ch. 5 - The circuit shown in Fig. P5.3 uses two identical...Ch. 5 - The rectangular loop shown in Fig. P5.4 consists...Ch. 5 - In a cylindrical coordinate system, a 2 m long...Ch. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - The loop shown in Fig. P5.9 consists of radial...Ch. 5 - An infinitely long, thin conducting sheet defined...Ch. 5 - An infinitely long wire carrying a 25 A current in...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - A circular loop of radius a carrying current I1 is...Ch. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Three long, parallel wires are arranged as shown...Ch. 5 - A square loop placed as shown in Fig. P5.20 has 2...Ch. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Repeat Problem 5.22 for a current density J=zJ0er.Ch. 5 - In a certain conducting region, the magnetic field...Ch. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - A uniform current density given by J=zj0 (A/m2)...Ch. 5 - A thin current element extending between z = L/2...Ch. 5 - In the model of the hydrogen atom proposed by Bohr...Ch. 5 - Iron contains 8.5 1028 atoms/m3. At saturation,...Ch. 5 - The xy plane separates two magnetic media with...Ch. 5 - Given that a current sheet with surface current...Ch. 5 - In Fig. P5.34, the plane defined by x y = 1...Ch. 5 - The plane boundary defined by z = 0 separates air...Ch. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A solenoid with a length of 20 cm and a radius of...Ch. 5 - Prob. 39PCh. 5 - The rectangular loop shown in Fig. P5.40 is...Ch. 5 - Determine the mutual inductance between the...
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- A coil of inductance 8mH, produces 80µWb of magnetic flux. Of this total flux, 60µWb are linked to a second coil of inductance 2mH, how much is the mutual inductance between coils?arrow_forward1. An emf of 16V is induced in a coil of inductance 4H. The rate of change of current must be ___. 2. If a permanent magnet has a uniform flux of 14,000 lines between the pole faces, what must its area be to have a flux density of 7,000 gauss, in square inch?arrow_forward1. A coil of inductance 0.2 H and 1 ohm resistance is connected to a 90V source. What is the current when it is growing at a rate of 100 A/s? 2. If a permanent magnet has a uniform flux of 14,000 lines between the pole faces, what must its area be to have a flux density of 7,000 gauss, in square inch?arrow_forward
- A magnetic flux of 1000 lines cuts across a coil of 800 turns in 2 µs. What is the voltage induced in the coil?arrow_forwardA rectangular coil of resistance R1=12.91 ohms has N1=182.23 turns, each with length L1=6.53*10^-03 m and width w1=1.03*10^-02 m, as shown in the figure. The coil moves into a uniform magnetic field of B1=0.31 T with constant velocity v1=31.12 m/s. What is the magnitude of the total magnetic force F on the coil as it leaves the field? Give the answer in Choose an option: A. none of the others B.0.31 C. 0.54 D. 0.82arrow_forwardA rectangular coil of wire has a length of 3 cm and a width of 4 cm. It is in a 0.004 T magnetic field. What is the magnetic flux through the coil if the face of the coil is parallel to the B-field lines? What is the flux if the angle between the face of the coil and the magnetic field is 75°?arrow_forward
- Notice that the voltmeter moves in response to the coil entering or leaving the magnetic gap. 2. Let's apply Faraday's Law to this situation. Faraday's Law says that the induced voltage (or emf ) in a loop of wire caused by a changing magnetic field is: ε=dΦ/dt Where Φ is the magnetic flux which is Φ=BA In this case, the magnetic field B is not changing. Instead, the changing flux is due to the motion of the coil changing the field-containing area A as it enters or leaves the magnetic gap: dΦ=BdA Given that the area immersed in the gap is changing as the coil enters the gap, what is the correct expression of Faraday's Law for this situation? That is, find the induced voltage as a function of quantities you can measure from the video. Hint: Some quantities to consider: Number of turns of the coil (nn); Velocity of the glider (vv); Magnetic field (or flux density) inside the magnetic gap (BB); Height of the coil (hh )arrow_forwardA coil of 250 turns is wound on a closed iron ring whose cross-sectional area is 20 cm² and mean length of 100 cm. Determine the energy stored in the magnetic field if a current of 2 A is passed through it. Assume the permeability if iron is 900. a. 2.83 J b. 3.12 J c. 2.03 J d. 1.88 Jarrow_forwardDetermine the magnitude of the magnetic force being experienced by a circular conductor of radius ρ = 1 m carrying 2-ampere current flowing in the counter-clockwise direction from Φ = 1.5 rad to Φ = 4.04 rad if the magnetic field is B = ρ2 cosΦ az (measured in tesla). Express your answers accurate to four decimal places, whenever applicable.arrow_forward
- 2) A wire carries a steady current I=0.75 A in Figure. The distances are a=0.5 m, b=0.9 m, and c=0.8 m. The magnetic field is B=0.2 T.(a) Find the magnetic force.(b) Find the magnitude of the magnetic force.(c) Find the direction of the magnetic force. (sin45=cos45=0.7)arrow_forwardA wire 71.9 cm long carries a 0.610 A current in the positive direction of an x axis through a magnetic field with an x component of zero, a y component of 0.000400 T, and a z component of 0.00800 T. Find the (a) x, (b) y, and (c) z components of the magnetic force on the wire.arrow_forwardA length of stiff copper wire is made into a rectangle measuring 24 cm by 10 cm. It is rotated at a uniform speed of 600 rpm about one of its longer sides as axis, this side lying on and at right angle to a uniform magnetic field of 0.5T calculate the induced voltage in the coil. * Draw the diagramarrow_forward
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