A 100 volt AC source of angular frequency 500 rad/s is connected to a LCR circuit with L = 0.8 H, C = 5 µF and R = 10 Ω Ω , all connected in series. The potential difference across the resistance is
volt
Text Solution
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Calculate the inductive reactance 
using the formula 
, where 
and 
.
Calculate the capacitive reactance 
using the formula 
, where 
.
Calculate the total impedance 
of the series LCR circuit using the formula 
, where 
. Since 
, the impedance simplifies to:
Calculate the current 
in the circuit using Ohm's Law 
, where 
.
Calculate the potential difference across the resistance 
using Ohm's Law 
.
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