CBSE Class 12-science Answered
what will be eqn of AC and AV in LC circuits?
Asked by prakasan | 11 Sep, 2010, 12:00: AM
Expert Answer
Dear Student
You may treat LC circuit as LCR circuit with R being accounted for as resistance offered by the either the load or the connecting wires.
Following is the discussion which leads to the voltage & current values in the LCR circuit.
The voltage phasor in the LCR circuit will be given by
V=VR+(VL+VC)
Taking the dot product
V.V
gives
Vo2 = (VR)2o + (Vc +VL).(Vc +VL)
= (VR)2o +[(VL)o - (Vc)o]2
= [R2 +(Xc - XL)2]Io2
From this, we immediately get
peak value of the current as Io=Vo/Z where
The factor Z is the analog of resistance in a purely resistive circuit, and is called Impedance.
The phase is immediately found from the simple phasor picture
If Xc >XL, Φ >0, and the circuit is more Capacitive and if
Xc <XL, Φ <0, the circuit is predominantly Inductive.
Hope this clarifies your query.
Regards
Team
Topperlearning
Answered by | 14 Sep, 2010, 10:30: AM
Concept Videos
-
AC Applied Across Inductor - Part 1
This video explains how to make an inductor and compares an inductor connec... -
AC Applied to a Series LCR in Circuit - Part 1
This video explains finding the current in a series LCR circuit with an AC ... -
AC Applied Across Resistor - Part 1
This video describes simple AC and DC circuits and advantages of AC circuit... -
Phase relation between current & voltage in AC circ ...
Capacitors pass high frequency current but block low frequency currents. Ph... -
Resonance in AC Circuits - Part 1
This video explains resonant frequency, imopedence and current at resonance...
CBSE 12-science - Physics
Asked by divyanshsahu109 | 11 Mar, 2024, 05:57: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by paresh0311 | 06 Mar, 2023, 04:42: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by akhilverma471001 | 27 Dec, 2022, 10:14: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by arjunsah797 | 29 Mar, 2022, 07:25: AM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by arjunsah797 | 27 Mar, 2022, 08:00: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by saivardhanreddy15022003 | 11 Mar, 2022, 06:47: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by sky11841 | 08 Sep, 2021, 10:04: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by mohitverma1017sn | 30 Dec, 2020, 08:57: PM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by a_k_garg | 11 Oct, 2020, 10:38: AM
ANSWERED BY EXPERTCBSE 12-science - Physics
Asked by rishicool0205 | 19 Aug, 2020, 02:20: PM
ANSWERED BY EXPERT
