For the following questions answer them individually
A uniform plane wave in air impinge at $$45^\circ$$ angle on a lossless dielectric material with dielectric constant $$\epsilon_r$$. The transmitted wave propagates in a $$30^\circ$$ direction with respect to the normal. The valueof $$\epsilon_r$$ is
If a donor type impurity is added to the semiconductor, then at a given temperature, the Fermi Level
Magnetic field intensity (H), within a magnetic material where, M = 150A/m, $$\mu = 1.5 \times 10^{-5} H/m, \mu_r = 30;$$
A steel pipe is constructed of a material for which $$\mu_r = 200$$ and $$\sigma = 5 \times 10^6 mho/m$$. The outer and inner radii are 8 and 6 mm respectively and the length is 80 m. If the total current carried by the pipe is $$2 \cos10^4 \pi t A,$$ Then the skin depth will be
A small amount of phosphorus is added to silicon so that there are $$2.5 \times 10^{17}$$ conduction electrons per cubic meter and $$9.0 \times 10^{14}$$ holes per cubic meter. Let $$\mu_e = 0.13 m^2/V.s$$ and $$\mu_h = 0.05 m^2/V.s.$$ The resistivity in $$Ω-m$$ will be