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A long, thin steel wire is cut in half, and each half is connected to a different terminal of a light bulb. An
c. Suppose instead that the wire were positioned as described below. Would the brightness of the bulb be greater than, less than, or equal to the brightness that it had in part b? Explain your reasoning in each case.
i. The wire is parallel to the y-axis but with its bottom end located on the x-axis (i.e., the wire is shifted up ward a distance equal to half its length).
ii. The wire is tilted so that it makes an angle of 40° with respect to the y-axis but is still parallel to the y−z plane. (See diagram at right.)
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- The electric part of an electromagnetic wave is given by E(x, t) = 0.75 sin (0.30x t) V/m in SI units. a. What are the amplitudes Emax and Bmax? b. What are the angular wave number and the wavelength? c. What is the propagation velocity? d. What are the angular frequency, frequency, and period?arrow_forwardThe electric field of an electromagnetic wave traveling in vacuum is described by the following wave function: E =(5.00V/m)cos[kx(6.00109s1)t+0.40] j where k is the wavenumber in rad/m, x is in m, t s in Find the following quantities: (a) amplitude (b) frequency (c) wavelength (d) the direction of the travel of the wave (e) the associated magnetic field wavearrow_forwardFigure P24.13 shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 50.0 m and the electric field vibrates in the xy plane with an amplitude of 22.0 V/m. Calculate (a) the frequency of the wave and (b) the magnetic field B when the electric field has its maximum value in the negative y direction. (c) Write an expression for B with the correct unit vector, with numerical values for Bmax, k, and , and with its magnitude in the form B=Bmaxcos(kxt) Figure P24.13 Problems 13 and 64.arrow_forward
- If the electric field of an electromagnetic wave is oscillating along the z-axis and the magnetic field is oscillating along the x-axis, in what possible direction is the wave traveling?arrow_forwardThe magnetic field of a wave propagating through a certain nonmagnetic material in the positive y direction has an amplitude of 30 mA/m and a frequency of- 10 Hz . If the wave is polarized on the positive z direction and its wavelength is 12.6 meter, find the equation of the instantaneous Electric field. Assume the initial phase is 0. Select one: O a. E(y, t) = -2.4īcos(10°t – y) V/m 12.6 O b. E(y, t) = 2400žcos(2710°t – 12.6y) V/m O c. E(y, t) = 2.4ricos(10*t – y) V/m 12.6 O d. E(z, t) = 2.4jcos(10°t - z) mv/m 12.6 O e. E(y, t) = 1.6žcos(t – 2.10®ry) v/m O f. E(y, t) = 30žcos(10°t + y) mv/m 27 12.6arrow_forwardA vertically pulsed laser fires a 1100 MW pulse of 240 ns duration at a small 8 mg pellet at rest. The pulse hits the mass squarely in the center of its bottom side. The speed of light is 3 x 10 m/s and the acceleration of gravity is 9.8 m/s2. T is the time to reach its maximum height h ↑ h t 8 mg + 1100 MW 240 ns If the radiation is completely absorbed without other effects, what is the maximum height the mass reaches? Answer in units of µm.arrow_forward
- The electric field for a plane electromagnetic wave traveling in the +y direction is shown. Ē 11₁ 个个 Consider a point where E is in the +z direction. The B field is: in the +x direction and in phase with the E field in the +x direction and one-fourth of a cycle out of phase with the E field in the +z direction and in phase with the E field in the -x direction and in phase with the E field in the +z direction and one-fourth of a cycle out of phase with the E fieldarrow_forwardQuestion 1: For a plane electromagnetic wave, the magnetic field at a point x and time t is B (x, t) = [1.2 × 10-7 sin (0.5 × 103 x + 1.5 × 1011 t) k] T. The instantaneous electric field E corresponding to B is: (speed of light c = 3 × 108 ms–1) 1) E (x, t) = [36 sin (1 × 103 x + 1.5 × 1011t) i] V / m 2) E (x, t) = [36 sin (0.5 × 103 x + 1.5 × 1011t) k] V / m 3) E (x, t) = [36 sin (1 × 103 x + 0.5 × 1011t) j] V / m 4) E (x, t) = [- 36 sin (0.5 × 103 x + 1.5 × 1011t) j] V / marrow_forwardAn electromagnetic wave of wavelength 435 nm is traveling in vacuum in the -z-direction. The electric field has amplitude 2.70 x 10-3 V/m and is parallel to the x-axis. What are (a) the frequency and (b) the magnetic-field amplitude? (c) Write the vector equations for E→ (z, t) and B→ (z, t).arrow_forward
- The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 683 nm, propagating in a vacuum in the z-direction is described by B = (B₁ sin(kz – wt)) (î+ ĵ) where B₁ = 5.3 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? 0 2) What is Zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is a maximum at t = 0? 0 m¹ Submit 0 3) What is Emax, the amplitude of the electric field oscillations? nm Submit 0 V/m Submit 4) What is Ey, the y-component of the electric field at (x = 0, y-0, z = Zmax) at t = 0? V/m Submit + +arrow_forwardA flat, sine-shaped electromagnetic wave propagating in an insulating material with a fixed isolation of 2 = K. If the value of the angular frequency of this wave is equal to w = 3 x 10^7 rad / sec. Calculate the following: (1) the characteristic impedance of this wave Z (2) its wave number K (3) the velocity of the wave in this dielectric medium 0 1)arrow_forwardThe intensity of solar radiation near the earth is 1.4 kW/m2. What force is exerted by solarradiation impinging normally on a 5.0 m2 perfectly reflecting panel of an artificial satelliteorbiting the earth? (c = 3.00 × 108 m/s, μ0 = 4pi × 10^-7 T · m/A,E0 = 8.85 × 10^-12 C2/N · m2)arrow_forward
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning