Aseries rlc circuit has a resistance of 74.31 ω, a capacitance of 4.11 μf, and an inductance of 292.39 mh. the circuit is connected to a variable-frequency source with a fixed rms output of 81.68 v . if the source frequency is 60 hz, calculate z .

ohm

Explanation:

R = resistance of the resistor = 74.31 ohm

f = source frequency = 60 Hz

C = Capacitance of the capacitor = 4.11 x 10⁻⁶ F

= capacitive reactance of capacitor

capacitive reactance of capacitor is given as

ohm

L = Inductance of inductor = 293.39 mH = 0.29239 H

= Inductive  reactance of Inductor

Inductive  reactance of Inductor is given as

ohm

Impedance is given as

ohm

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.