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Physics for Scientists and Engineers with Modern Physics
- 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_forwardConsider 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_forward
- What is the intensity of an electromagnetic wave with a peak electric field strength of 125 Vim?arrow_forwardA possible means of space flight is to place a perfectly reflecting aluminized sheet into orbit around the Earth and then use the light from the Sun to push this solar sail. Suppose a sail of area A = 6.00 105 m2 and mass m =6.00 103 kg is placed in orbit facing the Sun. Ignore all gravitational effects and assume a solar intensity of 1 370 W/m2. (a) What force is exerted on the sail? (b) What is the sails acceleration? (c) Assuming the acceleration calculated in part (b) remains constant, find the time interval required for the sail to reach the moon, 3.84 108 m away, starting from rest at the Earth.arrow_forwardA certain 60.0-Hz ac power line radiates an electromagnetic wave having a maximum electric field strength of 13.0 kV/m. (a) What is the wavelength of this very-low-frequency electromagnetic wave? (b) What type of electromagnetic radiation is this wave (b) What is its maximum magnetic field strength?arrow_forward
- Suppose the magnetic field of an electromagnetic wave is given by B = (1.5 1010) sin (kx t) T. a. What is the maximum energy density of the magnetic field of this wave? b. What is maximum energy density of the electric field?arrow_forward16. Review. Model the electromagnetic wave in a microwave oven as a plane traveling wave moving to the left, with an intensity of 25.0 kW/m². An oven contains two cubical con. tainers of small mass, each full of water. One has an edge length of 6.00 cm, and the other, 12.0 cm. Energy falls perpendicularly on one face of each container. The water in the smaller container absorbs 70.0% of the energy that falls on it. The water in the larger container absorbs 91.0%. That is, the fraction 0.300 of the incoming microwave energy passes through a 6.00-cm thickness of water, and the fraction (0.300)(0.300) = 0.090 passes through a 12.0-cm thickness. Assume a negligible amount of energy leaves either container by heat. Find the temperature change of the water in each container over a time interval of 480 s. %3Darrow_forwardIf the intensity of sunlight at the Earth's surface under a fairly clear sky is 1 444 W/m², how much electromagnetic energy per cubic meter is contained in sunlight? µJ/m³arrow_forward
- The average intensity of sunlight reaching the earth is 1390 W/m2. A charge of 2.8 x 106 C is placed in the path of this electromagnetic wave. (a) What is the magnitude of the maximum electric force that the charge experiences? (b) If the charge is moving at a speed of 3.2 x 104 m/s, what is the magnitude of the maximum magnetic force that the charge could experience? (a) Number i Units (b) Number i Units eTextbook and Mediaarrow_forwardThe human heart creates the body’s largest electromagnetic field. During normal beating, an electrocardiogram measures a voltage of 2.7 mV between two electrical contact pads on the chest that are separated by 25 cm. This creates an electromagnetic wave with a frequency of 1.2 Hz. What is the wavelength of this wave in Mega meters, Mm?arrow_forwardThe magnetic field of an electromagnetic wave is given by B = 4.4 ✕ 10−10 sin(kx − ?t) T. (a) If the wavelength is 337 nm, what are the frequency, angular frequency, and wave number of this wave? f = Hz ? = rad/s k = rad/m (b) What is the total energy density of this wave? J/m3arrow_forward
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