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Four point charges (two with q=2.50Β΅C and two with q=-3.0Β΅C) are situated at the corners of a square of a side 1.0m. Find the resultant force that the charge at A will experience due to charges at the corners of the square and itβs direction.
(this question had a diagram but the diagram looks like a square, qA is in the top left corner, qB is in the top right corner. -qC is in the bottom corner of left and -qD is in the bottom corner of right.)
. (a) Find the change in wavelength of 80-pm x-rays that are
scattered 120Β° by a target. (b) Find the angle between the directions of the recoil electron and the incident photon. (c) Find
the energy of the recoil electron.
A plane wave traveling along the x-axis in a polystyrene-filled region with ππ = 2.54 has an electric field given by πΈπ¦=πΈ0cos(ππ‘βππ₯). The frequency is 2.4 GHz, and πΈ0= 5.0 V/m.
Find the following:
1.1.1. The amplitude and direction of the magnetic field;
1.1.2. The phase velocity;
1.1.3. The wavelength; and
1.1.4. The phase shift between the positions π₯1=0.1π and π₯2=0.15π
A bottle dropped from a balloon reaches the ground in 20.0 s. Determine the height of the balloon if a) it was at rest in the air and b) it was ascending with a speed of 50.0 m/s when the bottle was dropped
The acceleration due to gravity at the surface of Mars is roughly 2/5 of Earthβs βgβ. If an astronaut on Mars were to toss a wrench upward with a speed of 10 m/s, find a) how long it would rise, b) how high it would go, c) its speed at t = 3.0s , and d) its displacement at t = 3.0s.
A car is accelerating uniformly as it passes two checkpoints that are 30 m apart. The time taken between checkpoints is 4.0 s and the carβs speed at the first checkpoint is 5.0 m/s. Find the carβs acceleration and its speed at the second checkpoint. (calculus based)
The velocity of light in a liquid is 0.80 as fast as it is in air. What is the index of
refraction of the liquid?
The velocity of light in a liquid is 0.80 as fast as it is in air. What is the index of
refraction of the liquid?
A copper microstrip transmission line is to be designed for a 100 Ξ© characteristic impedance. The substrate is 0.51 mm thick, ππ = 2.2 and tan Ξ΄ = 0.001.
At 5 GHz, find:
3.1.1. The guide wavelength on the line (in cm) and;
3.1.2. The total attenuation in dB/cm.
A circular copper waveguide has a radius of 0.4 cm and is filled with a dielectric material having ππ = 1.5 and tan Ξ΄ = 0.0002.
2.1.1. Identify the first four propagating modes and their cut-off frequencies.
2.1.2. For the dominant mode, calculate the attenuation due to dielectric loss and attenuation due to conductor loss at 20 GHz.
