Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 7, Problem 7.41P
To determine
(a)
To demonstrate:
The principle of concept of
To determine
(b)
The vector potential for a solenoid.
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The long linear conductor in the figure carries a current of 10A and is placed on the z-axis. A 12cm x 5cm rectangular loop carrying 2A current was placed 10 cm away from the conductor wire. Find the net magnetic force on the loop.
Choose the option....
1. Inductance. Consider the configuration of a wire with 90° bends as shown below. A small loop,
with its sides of length a and width d = a/16 is placed with its plane lying along xz principal plane
as shown. Stating all assumptions, determine mutual inductance between the loop and the wire.
a/2
9/2
2a
A solenoid (made as a long coil) is a type of electromagnet, the purpose of which is to generate a controlled magnetic eld through a coil wound into a tightly packed helix.
Starting from rst principles, derive a formula that provides us the self-inductance of a solenoid (with N windings) of length l and cross-sectional area A.
Chapter 7 Solutions
Engineering Electromagnetics
Ch. 7 - Find H in rectangular components at P(2,3,4) if...Ch. 7 - Prob. 7.2PCh. 7 - Prob. 7.3PCh. 7 - Prob. 7.4PCh. 7 - The parallel filamentary conductors shown in...Ch. 7 - A disk of radius a lies in the xy plane, with z...Ch. 7 - Prob. 7.7PCh. 7 - For the finite-length current element on the z...Ch. 7 - Prob. 7.9PCh. 7 - Prob. 7.10P
Ch. 7 - A solenoid of radius a and of length. L is...Ch. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15PCh. 7 - A current filament carrying I in the -az direction...Ch. 7 - Prob. 7.17PCh. 7 - Prob. 7.18PCh. 7 - Prob. 7.19PCh. 7 - A solid conductor of circular cross section with a...Ch. 7 - Prob. 7.21PCh. 7 - Prob. 7.22PCh. 7 - Prob. 7.23PCh. 7 - Prob. 7.24PCh. 7 - Prob. 7.25PCh. 7 - Prob. 7.26PCh. 7 - The magnetic field intensity is given in a certain...Ch. 7 - Given H=(3r2/sin)a+54rcosa A/m in free space: (a)...Ch. 7 - Prob. 7.29PCh. 7 - Prob. 7.30PCh. 7 - Prob. 7.31PCh. 7 - Prob. 7.32PCh. 7 - Use an expansion in rectangular coordinates to...Ch. 7 - A filamentary conductor on the z axis carries a...Ch. 7 - A current sheet K = 20 az A/m, is located at p =...Ch. 7 - Let A= (3y-z)ax+2xzayWb/m in a certain regin of...Ch. 7 - Let/N=1000, I=.08 A, p0=2 cm and a=.08 cm for the...Ch. 7 - A square filamentary differential current loop, dL...Ch. 7 - Prob. 7.39PCh. 7 - Show that the line integral of the vector...Ch. 7 - Prob. 7.41PCh. 7 - Show that 2(1/R12)=1(1/R12)=R21/R312.Ch. 7 - Compute the vector magnetic potential within the...Ch. 7 - Prob. 7.44P
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- Lrúns along the z-axis. The magnetic field strength out- 1. A straight conducting wire with a diameter of 1 mm Electrical Engineering solve simple way!!! ide the wire is (0.02/p)a, A/m. p is the distance from che center of the wire. Of interest is the total magnetic flux within an area from p to 4 m. Most nearly, that magnetic flux is 0.5 mm to 2 cm and z= 0 (A) 9.3 x 10-8 Wb (B) 1.4 x 10 7 Wb 0it 3.7 x 10 7 Wb (D) 3.0 x 10 4 Wbarrow_forwardLet's consider a loop of wire with an unknown shape but in order to analyze it we need to assume a specific shape. A rectangular shape seems to be appropriate and obviously has a length L, a width w and lies in the x-y plane with the magnetic field oriented along the +z direction. Give the expression of: a) The magnetic flux density through the loop b) The emf induced in the loop with N turns at time t c) The instantaneous emf if B = 3e ¬v3 , d) How does the overtime variation of the magnetic field affect the magnetic flux and the current?arrow_forwardQ4. Consider the below diagram. Derive the magnetic vector potential for loop A and then Find the Mutual inductance (M AB) between the wire. lo mAmp 5 cm toop A Foop Barrow_forward
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- 3. A two straight parallel conductors of 2 m length separated by 10 cm, each carries current of 14 A in the same direction. Find the force on each of the conductors. a. b. An idle solenoid with 100 turns and length of 40 cm has cross section of 7 cm?. Obtain: i. Inductance. ii. Energy Density when the current through the solenoid is 10 A.arrow_forward3 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_forwardUsing the Biot-Savart law, find the magnetic field at point P that produces the circuit shown in the figure, where the curved parts correspond to a quarter circle of radii a and b, with steady current I.arrow_forward
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