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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
b. Suppose the wire were oriented parallel to the y-axis, as shown above. Would the bulb glow in this case? Explain.
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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_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_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_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_forwardA linearly polarized microwave of wavelength 1.50 cm is directed along the positive x axis. The electric field vector has a maximum value of 175 V/m and vibrates in the xy plane. Assuming the magnetic field component of the wave can be written in the form B = Bmax sin (kx t), give values for (a) Bmax, (b) k, and (c) . (d) Determine in which plane the magnetic field vector vibrates. (e) Calculate the average value of the Poynting vector for this wave. (f) If this wave were directed at normal incidence onto a perfectly reflecting sheet, what radiation pressure would it exert? (g) What acceleration would be imparted to a 500-g sheet (perfectly reflecting and at normal incidence) with dimensions of 1.00 m 0.750 m?arrow_forwardi. A traveling electromagnetic wave in a vacuum has an rms electric field amplitude of 59.7 V/m. Calculate the intensity S of this wave. (a) 0 W/m2 (b) 3.15 W/m2 (c) 9.45 W/m2 (d) 18.9 W/m2 (e) None of the above. ii. A circular, parallel plate capacitor in a DC RC circuit is charging. What is the direction of the Poynting vector between the capacitor plates?arrow_forward
- A uniform beam of laser light has a circular cross section of diameter d = 7.5 mm. The beam’s power is P = 4.9 mW. (a) Calculate the intensity, I, of the beam in units of W / m2. (b) The laser beam is incident on a material that completely absorbs the radiation. How much energy, ΔU, in joules, is delivered to the material during a time interval of Δt = 0.89 s? (c) Use the intensity of the beam, I, to calculate the amplitude of the electric field, E0, in volts per meter. (d) Calculate the amplitude of the magnetic field, B0, in teslas.arrow_forwardThe magnetic component of an electromagnetic wave in vacuum has an amplitude of 85.8 nT and an angular wave number of 4.00 m1.What are (a) the frequency of the wave, (b) the rms value of the electric component, and (c) the intensity of the light?arrow_forwardAn electromagnetic plane wave, that is propagating in the x-direction at a speed of 3.00 x108 m/s, has a peak electric field strength of 4,200 N/C and a wavelength of 900 nm. Which of the following functions represents the correct behavior for the magnetic field? a. B(x, t) = (21 µT)sin[(9.00 x 10-7 m-1)x – (2.09 x 1015 rad/s)t] b. B(x, t) = (28 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t] c. B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t] d. B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (3.14 x 1015 rad/s)t] e. B(x, t) = (4,200 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]arrow_forward
- An electromagnetic wave from a wire antenna travels (from the reader) toward the plane of the paper. At time t = 0.0 s it strikes the paper at normal incidence. At point O and t = 0.0 s, the magnetic field vector has its maximum value, 5.01×10-8 T, pointing in the negative y-direction. The frequency of this wave is 1.17×106 Hz.What is the y component of the magnetic field at point O at time 4.27×10-7 s?arrow_forwardThree electromagnetic waves travel through a certain point P along an x axis. They are polarized parallel to a y axis, with the following variations in their amplitudes. Find their resultant at P. E1 = (5.0 × 10-5 V/m) sin[(4.0 × 1014 rad/s)t] E2 = (7.0 × 10-6 V/m) sin[(4.0 × 1014 rad/s)t + 45˚] E3 = (7.0 × 10-6 V/m) sin[(4.0 × 1014 rad/s)t - 45˚]arrow_forwardA plane electromagnetic wave has an intensity of 750W/m2. A flat, rectangular surface of dimensions 50 cm x 100 cm is placed perpendicular to the direction of the wave. The surface absorbs half of the energy and reflects half. Calculate (a) the total energy absorbed by the surface in 1.00 min and (b) the momentum absorbed in this time.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