(a)
The intensity of light on the absorbing plate.
(a)
Answer to Problem 67P
The intensity of light on the absorbing plate is
Explanation of Solution
Given info: The diameter of the circular mirror is
The formula to calculate the power is,
Here,
Substitute
The formula to calculate the intensity on plate is,
Here,
Substitute
Conclusion:
Therefore, the intensity of light on the absorbing plate is
(b)
The maximum magnitude of the electric field.
(b)
Answer to Problem 67P
The maximum magnitude of the electric field is
Explanation of Solution
Given info: The diameter of the circular mirror is
The formula to calculate the intensity is,
Here,
Rewrite the equation (2) to find the value of
Substitute
Thus, the maximum magnitude of the electric field is
Conclusion:
Therefore, the maximum magnitude of the electric field is
(c)
The maximum magnitude of the magnetic field.
(c)
Answer to Problem 67P
The maximum magnitude of the electric field is
Explanation of Solution
Given info: The diameter of the circular mirror is
The expression for the magnetic field is,
Here,
Substitute
Conclusion:
Therefore, the maximum magnitude of the electric field is
(d)
The time interval to bring the water to its boiling point.
(d)
Answer to Problem 67P
The time interval to bring the water to its boiling point is
Explanation of Solution
Given info: The diameter of the circular mirror is
The formula to calculate the power consumed in phase change is,
Here,
The formula to calculate the mass is,
Here,
Substitute
The value of the power consumed in heating is,
Substitute
Substitute
Thus, the time interval to bring the water to its boiling point is
Conclusion:
Therefore, the time interval to bring the water to its boiling point is
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Chapter 24 Solutions
Principles of Physics: A Calculus-Based Text
- Consider an electromagnetic wave traveling in the positive y direction. The magnetic field associated with the wave at some location at some instant points in the negative x direction as shown in Figure OQ24.12. What is the direction of the electric field at this position and at this instant? (a) the positive x direction (b) the positive y direction (c) the positive z direction (d) the negative z direction (e) the negative y direction Figure OQ24.12arrow_forwardIf 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_forwardYou are working at NASA, in a division that is studying the possibility of rotating small spacecraft using radiation pressure from the Sun. You have built a scale model of a spacecraft as shown in Figure P33.47. The central body is a spherical shell with mass m = 0.500 kg and radius R = 15.0 cm. The thin rod extending from each side of the sphere is of mass mr = 50.0 g and of total length = 1.00 m. At each end of the rod arc circular plates of mass mp = 10.0 g and radius rp = 2.00 cm, with the center of each plate located at the end of the rod. One plate is perfectly reflecting and the other is perfectly absorbing. The initial configuration of this model is that it is at rest, mounted on a vertical axle with very low friction. To begin the simulation, you expose the model to sunlight of intensity Is = 1 000 W/m2, directed perpendicularly to the plates, for a time interval of t = 2.0 min. The sunlight is then removed from the model. Determine the angular velocity with which the model now rotates about the axle. Figure P33.47arrow_forward
- 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_forwardAn electromagnetic wave with a peak magnetic field magnitude of 1.50 107 T has an associated peak electric field of what magnitude? (a) 0.500 1015 N/C (b) 2.00 105 N/C (c) 2.20 104 N/C (d) 45.0 N/C (e) 22.0 N/Carrow_forward
- 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 electromagnetic radiation with intensity 10.0 MW/m2 is incident on the disk, in a direction perpendicular to its surface. The disk is perfectly absorbing, and the resulting radiation pressure makes the disk rotate. Assuming the radiation is always perpendicular to the surface of the disk, find the angle through which the disk rotates from the vertical as it reaches its new equilibrium position shown in Figure 34.39b. Figure 34.39arrow_forwardA plane electromagnetic wave travels northward. At one instant, its electric field has a magnitude of 6.0 V/m and points eastward. What are the magnitude and direction of the magnetic field at this instant?arrow_forwardAn incandescent light bulb emits only 2.6 W of its power as visible light. What is the rms electric field of the emitted light at a distance of 3.0 m from the bulb?arrow_forward
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