This is done using an impedance matching network (or filter), which is composed of multiple capacitors and inductors. Since these networks are made of capacitors and inductors, the matching networks are specific to a given frequency.
If you need to create one, I recommend referencing a book on electronic networks. There is usually a section on filters and passive filter designs that may give a step by step approach to developing one.
Also, you can create a filter using active components, such as operation amplifiers. The Op amps should be chosen with care to insure the desired frequency is attainable. This may be a simpler approach than developing a passive filter, depending on your requirements.
50 ohm is a great compromise between power handling and low loss,for air-dielectric coax..
To find the resistance of a coil with an impedance of 50 ohms connected across 240V at a power factor of 0.8, we can use the formula for power factor: ( \text{p.f.} = \frac{R}{Z} ), where ( R ) is the resistance and ( Z ) is the impedance. Rearranging gives ( R = \text{p.f.} \times Z ). Thus, ( R = 0.8 \times 50 , \text{ohms} = 40 , \text{ohms} ). Therefore, the resistance of the coil is 40 ohms.
Test it with an ohm meter, should read around 50ohm.
By fios, this would be the Verizon fiber-optic service? And, the cable in question is from the set top box to a monitor? Assuming that the answer is yes to both, then a video cable from the set top box should be one with a characteristic impedance of 75ohms. RG58 is a 50ohm cable, so avoid that one. For most short runs of a few feet, then RG6 or almost any other 75ohm co-ax will do the job. For long runs, in excess of 50 feet or so, then the quality of cable can become important to the signal quality received at the television, so a bit more research might be worthwhile. However, there is rarely a "right" or a "wrong" cable to be using as long as it is a 75ohm co-ax.
Depends on their power rating. 50 volts across a 50 ohm resistor means 1 amp, 50 Watts, which would need quite a big resistor to deal with that power.
The resistance of the secondary of a transformer depends on the wire gauge and length of wire used in the winding. Typically, the resistance of the secondary winding of a 24 volt transformer can range from a few ohms to tens of ohms. It is best to measure the resistance using a multimeter for an accurate value.