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Suppose that the electric field in a light wave were
Would it be possible to have a magnetic field that is zero for all x and t? Use Faraday’s law to support your answer. (Hint: How, if at all, would your answers in part A above be different if the magnetic field were zero for all x and t?)
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- SECTION A You must answer ALL questions in this Section. 1. Explain (with specific reference to Maxwell's equations) why a traveling wave in the electric field must always be associated with a propagating wave in the magnetic field. 2. Explain why a free charge q will be attracted to the surface of an electrically neutral conductor, and explain how you expect this force to vary with distance compared to the regular Coulomb force between two charges. 3. Explain how you could estimate the refractive index of glass given a power supply, a sheet of glass, two flat pieces of metal, some wire and appropriate instruments for measuring the properties of electrical circuits. 4. With reference to one or more of Maxwell's equations, explain why it is apparently impossible to find a static magnetic field which has a "porcupine" configuration - that is, a surface at which all the field vectors are pointing in the outward direction. 5. Describe the phenomenon of diamagnetism. A grape (which consists…arrow_forwardA +5.00 uC point charge is moving at a constant 9.00 x 10° m/s in the +y-direction, relative to a reference frame. Part C At the instant when the point charge is at the origin of this reference frame, find the magnetic-field vector B it produces at point z = 0, y = 0, z= +0.500 m. Enter your answers numerically separated by commas. B, By, Bz = 18,0,0 Submit Previous Answers Request Answer X Incorrect; Try Again; 9 attempts remaining Part D At the instant when the point charge is at the origin of this reference frame, find the magnetic-field vector B it produces at point r = 0, y = -0.500 m, z= +0.500 m Enter your answers numerically separated by commas. ΑΣφ Bz, By. В, В. -arrow_forwardA microscopic spherical dust particle of radius r and mass m is moving in outer space at a constant speed v. A wave of light strikes it from the opposite direction of its motion and gets absorbed. Part A) Assuming the particle decelerates uniformly to zero speed in time t, write an equation for the average electric field amplitude in the light.arrow_forward
- Magnetic flux is the measure of the magnetic field that passes through an area of space or an object. Its mathematical definition is: Y = | B ds z а Suppose you have a copper ring on the plane x,yas indicated in the figure above. Imagine that a constant mangetic field passes through it, given by the vector B = ŷ B, + î B̟. The magnetic flux must be: Ο to. Ψ-B, πα? O b. W = Byna?arrow_forwardConsider the situation shown in the figure below. An electric field of 300 V/m is confined to a circular area d = 10.6 cm in diameter and directed outward perpendicular to the plane of the figure. Consider that the field is increasing at a rate of 18.2 V/m . s. Ē.... "out r__ P (a) What is the direction of the magnetic field at the point P, r = 15.1 cm from the center of the circle? O upwards downwards (b) What is the magnitude of the magnetic field at the point P, r = 15.1 cm from the center of the circle? Tarrow_forwardA finite current-carrying wire lies on the y-axis as shown below. The current has a constant magnitude of I. The wire goes from y =d to y = c . Point P lies on the x-axis at æ = -b.arrow_forward
- Curl. Stokes's theorem is a powerful equation that allows the conversion of a surface integral of the curl of a vector over an open surface S into a line integral, such as in the calculation of current through a closed magnetic field loop. Given that Stokes's theorem states: Verify Stokes's theorem for the vector field: B = r cos of+ sin o a. By evaluating f, B dl over the semicircular contour shown below b. By evaluating f,(v x B) ds over the semicircular contour shown below yarrow_forwardThe arrangement illustrated in the figure below is composed of six finite straight wires of length l. The electric current flowing in such an arrangement is i. Using the Biot-Savart law, calculate: The magnitude of the magnetic field at point P due to the wire located along segment ab.The answer is in the second image. I am trying to use the standard biot-savart, which is B = (μ0*I/4π) * ∫dl * sinθ / r^2, and it always gives me 16*pi*l at the denominator, instead of 8pi*l. Solve it using B = (μ0*I/4π) * ∫dl * sinθ / r^2, and note that the image with the answer is correct.arrow_forwardsolve a and b please. A permanent magnet in the shape of a right circular cylinder of length L and radius R is oriented so that its symmetry axis coincides with the z-axis. The origin of coordinates is at the center of the magnet. If the cylinder has uniform axial magnetization M, a.) determine U* (z) at points on the symmetry axis, both inside and outside the magnet, and b.) use the results of part a.) to find the magnetic induction Bz at points on the symmetry axis, both inside and outside the magnet.arrow_forward
- A (1.34x10^0)-m radius cylindrical region contains a uniform electric field along the cylinder axis. It is increasing uniformly with time. What is the rate of change (magnitude) of the electric field required to obtain a total displacement current of (3.548x10^0) nA through a cross section of the region? Provide your answer in V/(m.s) with three significant figures. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer Hide hint for Question 5 What is the displacement current and how it relates to the rate of change of the electric flux?arrow_forwardThe current i passes through the rectangular conductor wire in axb dimensions placed in the regular B=axBo Wb/m2 magnetic flux density seen in the figure on the right. В a) Find the magnetic forces (F1,F2,F3,F4) formed in each arm (1) (3) b) calculate the torque that will occur in the frame a X barrow_forwardI = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,8) in the upper half space, which is the empty space. If z <0 half space, it is made of material with relative magnetic permeability µr = 7. Write the sum of the components( Hx + Hy + Hz )of the magnetic field H [A / m] vector at point A (-2, -4,0-) (in half space z <0) in terms of the given magnitudesnumerically.arrow_forward
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