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Starting with the four Maxwell's equations for time-varying electromagnetic fields in either differential and integral form, derive the alternate form. In other words, take the differential form a
An infineitely long filament of wire carries current I. The wire starts along the negative y-axis and makes a 90deg turn at y=0 and continues along the x-axis in the negative direction. Find vect
A conducting sheet carries a surface current density of K (Amperes/meter). There are no other currents in the vicinity. a-) Find magnitude of B close to the sheet
Make a plot showing the original function and the sum of the terms up to n = 5 in each series. Comment on the similarities and differences between the two series.
A 40 mH inductor with 3.5 resistance is connected in series to a 20 µF capacitor and a 60 Hz, 40-V (rms) source. Calculate the following value. (a) rms current (b) phase angle (c) power diss
Design a spatial filter to be placed in the Fraunhofer plane of a 1.00 m focal length lens if the optical system is designed to preferentially detect objects of diameters greater than 10.0 m. Assum
change to a rotating reference system and write the force F' that the water experiences in the rotating coordinate system.
Design a spatial filter to be placed in the Fraunhofer plane of a 1.00 m focal length lens if the optical system is designed to preferentially detect objects of diameters greater than 10.0 m. Assume
What object distance would give a focused image with a spatial frequency of 20 line pairs/ mm when the object consists of a bar chart with black bars 0.5 mm wide separated by .5 mm? Assume an objec
The central order for a diffraction pattern from a rectangular aperture is measured to be 15 mm high and 5 mm wide on a screen 1 m away. If the illumination has a wavelength of 633 nm, what is the
A 5 minute sample count yielded 500 counts. A 5 minute background measurement gave 125 counts. Assuming negligible radioactive decay of the sample during the counting period, wha
One mole of a monatomic ideal gas is in a fixed volume container and is in thermodynamic equilibrium with its surroundings at termperature 0 degrees C with 1 atm of pressure inside the container.
What is the standard deviation (in joules) of the enthalpy fluctuations for this mass of water?
One mole of a monatomic ideal gas is in a fixed volume container and is in thermodynamic equilibrium with its surroundings at termperature 0 degrees C with 1 atm of pressure inside the container. a
A 10 cubic meter particulate air sample collects 0.1 millicurie of cobalt-60 on its filter. What is the airborne radioactivity concentration? Using 10 CFR 20, if the particles ar
Carefully explain how the Third Law of Thermodynamics contradicts the Equipartition of Energy Theorem. What is the contradiction, and what is the correct resolution of the conflict?
White light is shone on a very thin layer of quartz (n = 1.54), and above the quartz layer, interference maxima for two wavelengths (and no other in between) are seen: one green wavelength of 550 nm
By how many bits of information does thie entropy of this system change when the enthalpy changes by one standard deviation during a fluctuation caused by thermal contact between the system and its
The central maximum for 500nm light shown through a single slit has an angular width of 15 degree. What is the width of the slit?
The final temperature of the system is 100 degrees Celsius. how much energy is transferred to the water as heat. How much energy is transfeed to the bowl? What is the orginal temperature of the cyli
A block of mass m is attached to two springs with spring constants k1 and k2 in a) Parallel; b) Series configuration. Find the frequency of the oscillations for each configuration.