The voltage phasor diagram for a certain series RLC circuit is shown in the figu
ID: 2245030 • Letter: T
Question
The voltage phasor diagram for a certain series RLC circuit is shown in the figure below. The resistance of the circuit is 85.1 ?, and the frequency is 60.0 Hz.
(c) Find the maximum current.
(d) Find the impedance.
(e) Find the capacitance.
(f) Find the inductance of the circuit.
(g) Find the average power delivered to the circuit.
The voltage phasor diagram for a certain series RLC circuit is shown in the figure below. The resistance of the circuit is 85.1 ?, and the frequency is 60.0 Hz. Find the maximum current. Find the impedance. Find the capacitance. Find the inductance of the circuit. Find the average power delivered to the circuit.Explanation / Answer
delta Vmax= sqrt[(delta Vr^2 ) + (delta VL - delta Vc)^2]
= sqrt[20^2 + 10^2 ] = 22.36
c)delta VR = R Imax
Imax = delta VR / R
= 20.0 / 85.1
= 0.235 A
-------------------------------
d)Z= delta Vmax / Imax
= 22.4 / 0.235
= 95.32 ohm
-----------------------------
e)c = Imax / 2 pi f delta Vc
= 0.235 / 2 pi * 60 * 15
= 4.16 * 10-5 F
= 41.6 mu F
------------------------------
f)L = delta Vl / Imax * 2 pi f
= 25 / (0.235 * 2 pi * 60)
= 0.282 H
-----------------------------
g)P = Irms^2 R
= [Imax / sqrt2]^2 * R
= [0.235/sqrt2]^2 * 85.1
= 2.35 V
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