Which one of the following curves represents the variation of impedance (Z) with frequency f in series LCR circuit?

This question was previously asked in
VITEEE PYP_125Qs150Min125Marks
View all VITEEE Papers >
  1. qImage678f63b51b14f39394f9ddd4
  2. qImage678f63b51b14f39394f9ddf6
  3. qImage678f63b51b14f39394f9ddf8
  4. qImage678f63b61b14f39394f9ddf9

Answer (Detailed Solution Below)

Option 3 : qImage678f63b51b14f39394f9ddf8
Free
JEE Main 2025 (Session II) All India Live Test
4 K Users
75 Questions 300 Marks 180 Mins

Detailed Solution

Download Solution PDF

Concept:

In a series LCR circuit, the impedance (Z) depends on the inductive reactance (XL) and capacitive reactance (XC), and it varies with the frequency (f) of the alternating current. Impedance can be calculated using the formula:

Z = √(R2 + (XL - XC)2)

Where,

  • R is the resistance
  • XL = 2πfL (Inductive reactance)
  • XC = 1/(2πfC) (Capacitive reactance)

Calculation:

At resonance frequency (f0), XL = XC, so impedance Z is minimum and equals R.

For frequencies below resonance (f < f0):

⇒ XL < XC

⇒ Z increases as f decreases.

For frequencies above resonance (f > f0):

⇒ XL > XC

⇒ Z increases as f increases.

Hence, the curve representing Z vs. f will have a minimum at resonance frequency and will rise on both sides of this frequency.

The correct curve that represents the variation of impedance (Z) with frequency (f) in a series LCR circuit is option 3.

∴ The correct answer is option 3.

Latest VITEEE Updates

Last updated on Jul 3, 2025

->Vellore Institute of Technology will open its application form for 2026 on November 4, 2025.

->The VITEEE 2026 exam is scheduled to be held from April 20, 2026 to April 27, 2026.

->VITEEE exams are conduted for admission to undergraduate engineering programs at the Vellore Institute of Technology (VIT) and its affiliated campus.

->12th pass candidates can apply for the VITEEE exam.

More AC Voltage Applied to a Series LCR Circuit Questions

More Electromagnetic Oscillations and Alternating Current Questions

Get Free Access Now
Hot Links: teen patti master apk teen patti yas teen patti gold download apk