(a) Prove that the expression for the PSD of thermal noise in a resistor converges to the constant
(b) Assuming a temperature of , find the range of frequencies over which thermal noise has a PSD which is within 99% of its value at ƒ =0 .
(c) Suppose we had a very sensitive piece of equipment which was able to accurately measure the thermal noise across a resistive element. Furthermore, suppose our equipment could respond to a range of frequencies which spanned 50 MHz. Find the power (in watts) and the RMS voltage (in volts) that we would measure across a 75 Ω resistor. Assume the equipment had a load impedance matched to the resistor.