My Learning Cart
?
Categories
Account

In an RLC series circuit, if the resistance is increased while keeping the induc

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In an RLC series circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the quality factor (Q)?

Options:

  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Correct Answer: Decreases

Solution: 

The quality factor (Q) is given by Q = (1/R)√(L/C). Increasing R decreases Q.

In an RLC series circuit, if the resistance is increased while keeping the induc

Practice Questions

Q1
In an RLC series circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the quality factor (Q)?
  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Questions & Step-by-Step Solutions

In an RLC series circuit, if the resistance is increased while keeping the inductance and capacitance constant, what happens to the quality factor (Q)?
  • Step 1: Understand what an RLC series circuit is. It consists of a resistor (R), an inductor (L), and a capacitor (C) connected in series.
  • Step 2: Know what the quality factor (Q) is. It measures how underdamped an oscillator or resonator is, and it is calculated using the formula Q = (1/R)√(L/C).
  • Step 3: Identify the components of the formula. R is resistance, L is inductance, and C is capacitance.
  • Step 4: Recognize that in this scenario, the inductance (L) and capacitance (C) are kept constant.
  • Step 5: Focus on the effect of increasing resistance (R). When R increases, the value of (1/R) decreases.
  • Step 6: Since Q is directly proportional to (1/R), if (1/R) decreases, then Q also decreases.
  • Step 7: Conclude that increasing the resistance in the circuit while keeping inductance and capacitance constant results in a decrease in the quality factor (Q).
  • Quality Factor (Q) – The quality factor (Q) is a dimensionless parameter that describes the damping of an oscillator or resonator, defined as the ratio of the resonant frequency to the bandwidth of the resonance.
  • RLC Circuit Behavior – In an RLC series circuit, the interplay between resistance (R), inductance (L), and capacitance (C) affects the circuit's response to alternating current, including its quality factor.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks