In the figure shows R=100Ω,L=2πH, and C=8πμF are connected in series with an a. c. source of 200volts and frequency f. V1 and V2 are two hot-wire voltmeters. If the readings of V1 and V2 are same then which of the following is not correct.
A
V1=V2=1000volt
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Current throughRis2A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
f=125Hz
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
f=250πHz
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is Df=250πHz Given, R=100Ω
L=2πH
C=8πμF
According to question , V1=V2OrVL=VC
⇒XL=XC⇒ωL=1ωC
ω2=1LC=12π×8π×10−6
ω2=(π4×103)2⇒ω=1000π4or250π
∴2πf=250πandf=125Hz
Option (a) is correct.
Now current through the R is Irms=VrmsZ= Vrms√R2+(XL−XC)2