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In an RLC circuit, what is the condition for resonance?

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Question: In an RLC circuit, what is the condition for resonance?

Options:

  1. XL = XC
  2. R = 0
  3. L = C
  4. f = 0

Correct Answer: XL = XC

Solution:

Resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC).

In an RLC circuit, what is the condition for resonance?

Practice Questions

Q1
In an RLC circuit, what is the condition for resonance?
  1. XL = XC
  2. R = 0
  3. L = C
  4. f = 0

Questions & Step-by-Step Solutions

In an RLC circuit, what is the condition for resonance?
  • Step 1: Understand that an RLC circuit has three main components: a resistor (R), an inductor (L), and a capacitor (C).
  • Step 2: Know that inductive reactance (XL) is the opposition to current flow caused by the inductor, and it depends on the frequency of the current and the inductance value.
  • Step 3: Understand that capacitive reactance (XC) is the opposition to current flow caused by the capacitor, and it also depends on the frequency of the current and the capacitance value.
  • Step 4: Recognize that resonance in an RLC circuit happens when the inductor's opposition (XL) is equal to the capacitor's opposition (XC).
  • Step 5: Write the condition for resonance: XL = XC.
  • Resonance in RLC Circuits – Resonance occurs in an RLC circuit when the inductive reactance (XL) is equal to the capacitive reactance (XC), resulting in maximum current flow.
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