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a. Show that the skin depth in a poor conductor (σ << ωε) is (2/σ)√ε/μ when independent of frequency. Find the skin depth (in meters) for (pure) water.
b. Show that the skin depth in a good conductor (σ >> ωε) is λ/2Π (whereλ is the wavelength in the conductor). Find the skin depth (in nanometers) for a typical meter (σ ≈ 10^7Ωm^-1) in the visible range (ω = 10^15 /s), assuming ε=εo and μ≈ μo. Why are metals opaque?
c. Show that in a good conductor the magnetic field lags the electric field by 45 degrees and the find the ratio of their amplitudes. For a numerical example use the 'typical metal' in part (b).
The electric field in a region of space is oriented along the positive y axis. A circle of radius R is placed in xz-plane. The flux of the electric field by this circle is Φ. The same electric field passing through a second circle of radius 2R parall..
A 74 kg man in a 6.0 kg chair tilts back so that all the weight isbalanced on two legs of the chair. find the pressure exerted by each leg on the floor
a particular inverting circuit uses an ideal op amp and two 10-kq resistors. what closed-loop gain would you expect? if
Consider a theoretical head-on collision between two carts of equal mass and equal speed. What is the total momentum after the collision
Suppose that the force exerted by the heart on the blood entering the aorta is 3.25N and the surface area of the aorta is 3.15cm square. Calculate the pressure of the blood in the aorta
A 3.0-V battery is connected to a 3.20-µF capacitor. How much energy is stored in the capacitor
A 3.0 kg block rests on a 30 degree slope and is attached by a string of neglible mass to a sold drum of mass 0.80 kg and radius 10.0 cm, Find the angular accleration of the drum
Some light bulbs are connected in parallel to a 120 V source, Determine the largest number of bulbs, which can be used in this circuit without burning out the fuse
A gymnast of mass 55.0 hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value for the acceleration of gravity.
One end of a 33cm long aluminum rod with a diameter of 2.8 is kept at 420C and the other is immersed in the water at 24C
You have a pure (24-karat) gold ring with mass 17.0 g, how many protons are in the ring and what is their total positve charge
As the refrigerant passes through the compressor, heat transfer to the surrounding occurs at a rate of 0.32 kJ/s. Determine at steady state the power input to the compressor, in kW.
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