Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 29.3, Problem 29.3QQ
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Figure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q.
The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r<a, a<r<b, and r>b.
Imagine that there is 0.8 A running through a metal (7.6 x1028 electrons/m3) wire with a square cross-sectional area of width 0.6 cm. We also place this wire into a uniform magnetic field, such that a potential difference of 6.5 x 10-8 V is across the wire (from one edge to the other, as we discussed in class on the Hall Effect). What is the magntiude of this magnetic field?
Figure 8 shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radiusb. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder ischarged to −Q.The cable carries a current I, which flows clockwise. Use Ampere’s Law to calculate themagnetic field B⃗ at r < a, a < r < b, and r > b.
Chapter 29 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 29.1 - Consider the magnetic field due to the current in...Ch. 29.2 - Prob. 29.2QQCh. 29.3 - Prob. 29.3QQCh. 29.3 - Prob. 29.4QQCh. 29.4 - Consider a solenoid that is very long compared...Ch. 29 - Calculate the magnitude of the magnetic field at a...Ch. 29 - Prob. 2PCh. 29 - In Niels Bohrs 1913 model of the hydrogen atom, an...Ch. 29 - Prob. 4PCh. 29 - Prob. 5P
Ch. 29 - Consider a flat, circular current loop of radius R...Ch. 29 - Prob. 7PCh. 29 - One long wire carries current 30.0 A to the left...Ch. 29 - Determine the magnetic field (in terms of I, a,...Ch. 29 - Prob. 10PCh. 29 - Two long, parallel wires carry currents of I1 =...Ch. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - You are part of a team working in a machine parts...Ch. 29 - Why is the following situation impossible? Two...Ch. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - The magnetic coils of a tokamak fusion reactor are...Ch. 29 - A packed bundle of 100 long, straight, insulated...Ch. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - A long solenoid that has 1 000 turns uniformly...Ch. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - You are working for a company that creates special...Ch. 29 - A solenoid of radius r = 1.25 cm and length =...Ch. 29 - Prob. 30PCh. 29 - Prob. 31APCh. 29 - Why is the following situation impossible? The...Ch. 29 - Prob. 33APCh. 29 - Prob. 34APCh. 29 - Prob. 35APCh. 29 - Prob. 36APCh. 29 - A very large parallel-plate capacitor has uniform...Ch. 29 - Two circular coils of radius R, each with N turns,...Ch. 29 - Prob. 39APCh. 29 - Two circular loops are parallel, coaxial, and...Ch. 29 - Prob. 41APCh. 29 - Review. Rail guns have been suggested for...Ch. 29 - Prob. 43APCh. 29 - An infinitely long, straight wire carrying a...Ch. 29 - Prob. 45CPCh. 29 - Prob. 46CPCh. 29 - A wire carrying a current I is bent into the shape...Ch. 29 - Prob. 48CPCh. 29 - Prob. 49CPCh. 29 - Prob. 50CPCh. 29 - Prob. 51CP
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- Q1: The vector potential of magnetic field in free space is given as: (A= 40 ,° ăz ) Wb/m. i) Find (A, H, B, and J) at (r=1, 00), (µ1=3),and the magnetic field is( H1=3 ăx+5 ăy – 4 ăz) A/m. For (y<0), (µ2=5). Find H2, 01, 02. Bin fonarrow_forwardQuestion A7 A wire ring of radius a, is placed in an external uniform magnetic field as shown in figure 4 B = B₂+ B₂ where B < 0 and By < 0, and carrying a clock-wise current I. a) Apply the right-hand rule and find the direction of the magnetic moment vector, . b) Derive an expression for the magnitude of the torque on the loop. X Figure 4: A wire ring in an external magnetic field || - [1 marks] marks]arrow_forwardA Paramagnetic material has 1028atoms/m3. The magnetic moment of each atom is 2.8 × 10−23Am3.Calculate the Paramagnetic susceptibility at 200K. What would be the dipole moment of a bar of this material 1meter long and 1square-cm cross-section placed in a field of 6 × 106A/marrow_forward
- 4. Consider a pair of infinite conducting sheets placed parallel to the xy plane. We can model the current sheets using an infinite number of conducting wires placed side-by-side, as shown in the diagram below, where the wires have a density of n wires per meter in the y direction. Each wire making up the upper sheet at z = d carries a current I in the + direction and each wire in the lower sheet at z = 0 carries a uniform current I in the - direction. a. Use Ampère's Law to find the magnetic field produced by each current sheet and apply superposition to find the total magnetic field everywhere in space. b. Find the magnitude and direction of the magnetic force per unit area on each sheet. مز X Z y darrow_forward1. Fig 1, shows a hollow cylindrical conductor of radii a and b which carries a current i uniformly spread over its cores section. a) show the the magnetic field B from points inside the body of the conductor is given by B={uoi/27(b²-a)} {(r2-a)/r}. And check the case when a=0. b) Make a rough plot at the general behavior of B(r) from r=0 to infinite. [r-current Fig. 1arrow_forwardThe two long, parallel wires shown in theaccompanying figure carry currents in the samedirection. If I1 = 10 A and I2 = 20 A, what is themagnetic field at point P?arrow_forward
- 2. The current distribution of an infinite, wire can be described in cylindrical coordinates by J = J(p) 2. longitudinally-uniform, and axially-symmetric (a) Show that. J = 0. (b) Considerations of longitudinal and axial symmetry require that the mag- netic field can only depend upon p, i.e. that B(p) = Bp(p)ô + Bø(p) + B₂(p)2. Use Ampère's Law to determine B6 (p) in terms of I (p) = 2π J(p') p'dp'. (c) Use the Biot and Savart Law to show that Bp(p) = B₂ (p) = 0. Side note: it is pretty easy to show that B,(p) must be zero using Gauss's Law for B with a cylindrical volume. I am not aware of an "easy" way to see B₂ (p) = 0 - not that it is very difficult using the Biot and Savart Law... (d) Use the integral form for the vector potential [Jackson, Eq. (5.32)] to determine A for this current distribution. Hint: in order to deal with divergent integrals, you may want to limit the current distribution to -L ≤ z ≤ L, determine A, adjust A by a constant (as one is allowed to do), and then…arrow_forwardIn Figure P19.2, assume in each case the velocity vector shownis replaced with a wire carrying a current in the direction ofthe velocity vector. For each case, find the direction of themagnetic force acting on the wire.arrow_forwardTwo long, parallel wiresseparated by a distance 2d carryequal currents in the same direction.An end view of the two wiresis shown in Figure P19.54, wherethe currents are out of the page.(a) What is the direction of themagnetic field at P on the x - axisset up by the two wires? (b) Find anexpression for the magnitude of thefield at P. (c) From your result to part (b), determine the fieldat a point midway between the two wires. Does your resultmeet with your expectation? Explain.arrow_forward
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