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A linearly polarized electromagnetic wave is incident on the plane interface between air and an isotropic medium of relative permittivity ε = 3 and relative permeability μ = 1. The incident propagation vector makes an angle of 60o with the normal to the interface and the direction of polarization of the incident wave is normal to the scattering plane.
a) Use one of Fresnel's equations to calculate the ratio of Et0, the amplitude of the transmitted electric field, to Ei0, the amplitude of the incident electric field. Use another of Fresnel's equations to calculate the ratio of Er0, the amplitude of the reflected electric field to Ei0.
b) Calculate the transmittance T and the reflectance R, that is, the relative amounts of power transmitted through and reflected from the boundary. Verify that your answers are consistent with the law os conservation of energy.
a rectangular coil with resistance r has n turns each of length l and width w. the coil moves into a uniform magnetic
A horizontal 797N merry-go-round is a solid disk of radius 1.53 m, started from rest by a steady horizontal force of 50.4 N applied tangentially to the edge of disk. Determine the kinetic energy of the disk after 3.06 s.
A certain pipe has resonant frequencies of 385 Hz, 495 Hz, and 605 Hz, with no other resonant frequencies between these values. How long is this pipe
Far in space, where gravity is negligible, a 480-kg rocket travelling at 95 m/s fires its engines. The figure shows the thrust force as a function of time. The mass lost by the rocket all through these 30s is negligible.
A plane mirror and the concave mirror (f = 8.70 cm) are facing each other and are separated by a distance of 23.0 cm. An object is placed between the mirrors and is 11.5 cm from each mirror.
A charged particle moves in a circle in a magnetic field. (a) Starting with the force relation, write the equation for the radius of the circle
Two adjacent sources each emit a frequency of 800 Hz in air where the velocity of sound is 340 m/s. How much farther back would source 1 have to be moved thus that an observer in front of the sources hears no sound?
A turbine operates adiabatically and at steady state, with an ideal gas of constant cp as the working fluid. Determine the minimum outlet temperature occurs when the turbine operates reversibly
An insulated container of negligible mass holds 0.200 kg of water and 0.05kg of ice in thermal equilibrium at atmospheric pressure. calculated the specific heat capacity c of heat
A uniform rod of mass 3.05×10^-2?2kg and length 0.370m rotates in a horizontal plane about a fixed axis through its center, compute the angular speed of the rod after the rings leave it
A baseball is struck by a bat 46 cm from the axis of rotation when the angular velocity of the bat is 70 rad/s. If the ball is hit at a height of 1.2m at a45º angle, will the ball clear a 1.2m fence that is 110 m away?
A series circuit contains a 3.00 H inductor, a 3.20 µF capacitor, and a 35.0 ohm resistor connected to a 120 V (rms) source of variable frequency. Find the power delivered to the circuit
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