Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 9, Problem 8P
Consider a right circular cylinder of radius R, with mass M uniformly distributed throughout the cylinder volume. The cylinder is set into rotation with angular speed ω about its longitudinal axis. (a) Obtain an expression for the
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A current I, distributed uniformly over the surface, flows down a wire of radius a. Find the (a)surface current density, K , (b) magnetic field inside and outside the wire, and(c)magnetic vector potential A inside and outside the wire.
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A charged particle of mass m and positive charge q moves in uniform electric
3.
and magnetic fields, E and B, both pointing in the z direction. Ignoring gravity, use
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Chapter 9 Solutions
Modern Physics
Ch. 9.2 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9 - Prob. 1QCh. 9 - Prob. 2QCh. 9 - Prob. 3QCh. 9 - Prob. 4QCh. 9 - Prob. 5QCh. 9 - Prob. 6QCh. 9 - Prob. 7QCh. 9 - Prob. 8Q
Ch. 9 - Prob. 9QCh. 9 - Prob. 11QCh. 9 - For a one-electron atom or ion, spinorbit coupling...Ch. 9 - Prob. 14QCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 4PCh. 9 - The force on a magnetic moment z in a nonuniform...Ch. 9 - Consider the original Stern–Gerlach experiment...Ch. 9 - Prob. 7PCh. 9 - Consider a right circular cylinder of radius R,...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25P
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- There is a long cylinder with radius of R, and magnetization of M = Mopî for parrow_forwardProblem 2: A charged particle of mass m and positive charge q moves in uniform electric and magnetic fields E = Ey and B = B2. Suppose the particle starts at the origin with initial velocity vox. (a) Write down the (vector) equation of motion for the particle and resolve it into its three components. Show that the motion remains in the plane z = 0. (b) Prove that there is a unique value of vo, known as the drift speed var, for which the charge moves undeflected through the fields, and write an expression for var in terms of the given quantities. (c) Solve the equations of motion to find v(t), for arbitrary initial velocity vo in the x direction. It may be helpful to write your answer using dr. [Hint: try variable sub- stitution to simplify your differential equations. The drift speed seems important, so shift to a reference frame that moves at that speed.] (d) Integrate to find r(t), and plot the trajectory for several different and representative values of the ratio vo/vdr. For each…arrow_forwardTwo electrons are sitting at (1,2,3) and (3,3,5). A proton is flying with velocity vp along the z-axis starting at (0,0,0) at time zero. Write the atomistic charge density as a function of space and time. Hint: ri becomes a function of time itself. Write the atomistic current density of the trio. Write magnetic field from Biot-Savart integral for the three. Think what that delta function does to the integral. Side-note: this will be a nonrelativistic approximation.arrow_forwardAssume MKS units... Let Q be an open subset of R³. Let B: :Q - R³ be a continuous vector .field, representing a magnetic field in 3-D space. 7 Let P be a particle with charge q E R and mass m > 0. If p is at position (x. y, z) in Q and R³ is the velocity of p, at time t, then p feels a force 7(7,7) given by - 7(7,J) := q V × B (7) . Suppose that p moves along a curve C as time t varies from a to b, and that p has position vector (t) and instantaneous velocity (t) at time t. ř (1) Explain why the two vectors 7'(t) × È(7(t)) and 7'(t) are perpen- dicular at every time t = [a, b]. (2) Using Part (1), calculate W := the work done on the particle p by the force as p moves from D = 7(a) to E = √ (b) along C. F (3) Prove that ((t)||²)=27' (t) • F(t), at each time t. (4) Using Parts (2) and (3), and Newton's Second Law, prove that if the magnetic force - ₹(7,7) is the total force on p at every time t, then p moves along C at a constant speed. dtarrow_forwardTo understand why charged particles move in circles perpendicular to a magnetic field and why the frequency is invariant. A particle of charge q and mass m moves in a region of space where there is a uniform magnetic field B=B0k (ie a magnetic field of magnitude B0 in the +z direction) in this problme neglect any forces on the particle other than the magnetic force. (A) if the resulting trajectory of the charged particle is a circle, what was the angular frequency of the circular motion? Express angular frequency in terms of q,m, and B0.arrow_forwardPart 2 please.arrow_forwardcould you please solve part a)arrow_forwardConsider a rod of length L carrying a charge of q distributed uniformly over its length. Where applicable, let V(r→∞)=0. What is the voltage V at point P (at distance a away from the near end of the rod) due to the charge over the length of the rod? Express your answer in terms of given parameters (L,q,a) and physical constants (ke, ε0). Use underscore ("_") for subscripts and spell out Greek letters. Calculate the electric field at point P by differentiating V with respect to a. Let positive sign of E indicate direction of electric field pointing away from the rod.arrow_forwardIn the upper half space, which is the empty space, I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,10). Half-space z <0 is from a material with relative magnetic permeability µr = 5. 1. Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-5, -5,0 +) of the magnetic field H [A / m] vector in terms of the given magnitudes (in the half space z> 0). 2.Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-2, -4,0-) of the vector magnetic field H⃗[A / m] in terms of the given magnitudes (in the half-space z <0).arrow_forwardIn the upper half space, which is the empty space, I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,10). Half-space z <0 is from a material with relative magnetic permeability µr = 5. Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-5, -5,0 +) of the magnetic field H [A / m] vector in terms of the given magnitudes (in the half space z> 0).arrow_forwardA charge q = 54 C is located at (9, 8) and we want to find the electric field at pint p (3, 5). Find the source to point vector. Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C² . Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnetic Permeability of vacuum, µo = 12.566370614356 ×x 10-7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb electron, me x component of the vector Give your answer up to at least three significance digits. y component of the vector Give your answer up to at least three significance digits.arrow_forwardConsider an ideal solenoid which has uniform magnetic field B (5 T) to the direction from +Y to -Y axis. If you imagine a rectangular shape Amperian loop (5 cm length, 4 cm width) inside the solenoid, what would be the total magnetic field created in the Amperian loop. (Tips: Imagine the whole scenario, draw it and apply the law). Don,t copy from anywhere. Do all calculation step by step .Answer Must be correct.Read question all step.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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