A 400 mH coil of negligible resistance is connected to an AC circuit in which an effective current of 6 mA is flowing. Find out the voltage across the coil if the frequency is 1000 Hz.
2.
A capacitor of capacitance 102/π µF is connected across a 220 V, 50 Hz A.C. mains. Calculate the capacitive reactance, RMS value of current and write down the equations of voltage and current.
3.
Find the impedance of a series RLC circuit if the inductive reactance, capacitive reactance and resistance are 184 Ω, 144 Ω and 30 Ω respectively. Also calculate the phase angle between voltage and current.
1
Expert's answer
2020-04-10T13:40:03-0400
1) The voltage can be found by Ohm's law:
V=IXL=IωL=I⋅2πfL=15 V.
2) The capacitive reactance is
XC=2πfC1=98Ω.
RMS value of current:
I=XCV=2.2 A.
3) The impedance of a series RLC circuit is
Z=(XL−XC)2+R2=50Ω.
The phase angle between voltage and current equals
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