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Question Based on Concept of Resonance, V-I Relation for R, L, C Elements
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Concepts covered: Resonance, polar/rectangular representation for RLC circuit, V-I relationship for RLC circuit RLC circuit is in resonance if net voltage is in phase with net current supplied. For series RLC Circuit: When net impedance of circuit is purely real. For parallel RLC Circuit: When net admittance of circuit is purely real.

Akhilesh PANDEY
B.Tech. in EC, GATE 2017 AIR 18, YouTuber (channel name - STUDENT MODULATOR), 5 years Teaching Experience

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  1. SCORE BOOSTER GATE Questions Lesson-1 Concepts covered: Resonance, polar/rectangular representation for RLC circuit, V-I relationship for RLC circuit By- AKHILESH PANDEY


  2. About Me B.Tech. in Electronics & Communication GATE 2017 AIR 18 (EC) 5 Years Teaching Experience > Youtuber (channel- STUDENT MODULATOR)


  3. Course Overview Important GATE previous year Question covered in each lesson Relevant Concepts explained > Descriptive solution provided > GATE Questions taken from each subject of GATE-EC Note: This course covers 200+ concepts which is very important for GATE-EC and useful to boost GATE Score.


  4. GATE-1998:1 Mark (Question) The parallel RLC circuit shown in figure is in resonance. In this circuit, 1 mA RMS (a) IR<1 mA (b) IR ILI > 1 mA (d) Icl> 1 mA


  5. Rectangular/Polar representation of R.L,C Impedance Parameter Resistance: R Inductance: L Capacitance: C Rectangular form Polar form R20 a)L L900 -J juC


  6. V-I relation for R. L, C Parameter V-I relations Phasor representation V=IR Vand I are in same phase I V Resistance: R Phase angle = 0 V=Kjwl) or V=1(wL)290 V leads I by 90 Inductance: L 90 Capacitance: C a)C <-90 V lags I by 90


  7. Resonance RLC circuit is in resonance if net voltage is in phase with net current supplied For series RLC Circuit: When net impedance of circuit is purely real For parallel RLC Circuit: When net admittance of circuit is purelv real For resonance, For resonance jol +1 LC LC


  8. GATE-1998: 1Mark (Solution Given parallel RLC circuit in resonance. So, we have For resonance, equivalent admittance 1 mA RMS Hence, total voltage across current source


  9. GATE-1998: 1Mark (Solution Now, we have Current through resistance 1 mA RMS R/D=1mA Current through inductance Current through capacitance


  10. GATE-1998: 1Mark (Solution Now, we check the given options (a) IRI < 1 mA (b) lle + 1L1 > 1 mA : (c) IR + Icl < 1 mA: (d) I> 1 mA: IRI 1 mA, so option is wrong le = 1 mA , 11 =-jRIL , so Ile + 11| 1 mA , option is correct IR 1 mA, Ic jRC, so IR+ Icl > 1 mA, option is wrong IL= j R/ ,Ic=JWRC, so IL +lel= 0, option is wrong , SO