A uniform circular disk of mass m = 24.0 g and radius r = 40.0 cm hangs vertically from a fixed, frictionless, horizontal hinge at a point on its circumference as shown in Figure P34.39a. A beam of
Figure 34.39
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Chapter 34 Solutions
Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)
- Figure 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_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_forwardA dish antenna having a diameter of 20.0 m receives (at normal incidence) a radio signal from a distant source as shown in Figure P34.65. The radio signal is a continuous sinusoidal wave with amplitude Emax = 0.200 V/m. Figure P34.65 Assume the antenna absorbs all the radiation that falls on the dish. (a) What is the amplitude of the magnetic field in this wave? (b) What is the intensity of the radiation received by this antenna? (c) What is the power received by the antenna? (d) What force is exerted by the radio waves on the antenna?arrow_forward
- a long, straight copper wire (diameter 2.50 mm and resistance 1.00 ohm per 300 m) carries a uniform current of 25.0 A in the positive x direction. For point P on the wire’s surface, calculate the magnitudes of (a) the electric field , (b) the magnetic field , and (c) the Poynting vector , and (d) determine the direction of S.arrow_forwardA sinusoidal electromagnetic wave propagates in the +x direction through empty space. Its electric field is described by E = (2.02E4 V/m) × sin ((2.06E11 rad/s) t – (687 rad/m) x ) . What is the magnetic field amplitude of this electromagnetic wave (in T)?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_forward
- A source of electromagnetic waves radiates power uniformly in all directions at a single frequency. At a distance of 5.50 km from the source, a detector measures the intensity of the wave to be 26.0 μμW/m2 .The detector is replaced with a perfectly absorbing sheet normal to the incident flux, with surface area 1.70 m2. What is the force on the sheet due to the wave?arrow_forwardThe 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_forwardIn Figure P37.52, suppose the transmission axes of the left and right polarizing disks are perpendicular to each other. Also, let the center disk be rotated on the common axis with an angular speed . Show that if unpolarized light is incident on the left disk with an intensity Imax, the intensity of the beam emerging from the right disk is I=116Imax(1cos4t) This result means that the intensity of the emerging beam is modulated at a rate four times the rate of rotation of the center disk. Suggestion: Use the trigonometric identities cos2=12(1+cos2) and sin2=12(1cos2). Figure P37.52arrow_forward
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