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In an RLC circuit, if the inductive reactance is 30Ω and capacitive reactance is

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Question: In an RLC circuit, if the inductive reactance is 30Ω and capacitive reactance is 20Ω, what is the net reactance? (2020)

Options:

  1. 10Ω
  2. 50Ω
  3. 30Ω
  4. 20Ω

Correct Answer: 10Ω

Exam Year: 2020

Solution:

Net reactance X = XL - XC = 30Ω - 20Ω = 10Ω.

In an RLC circuit, if the inductive reactance is 30Ω and capacitive reactance is

Practice Questions

Q1
In an RLC circuit, if the inductive reactance is 30Ω and capacitive reactance is 20Ω, what is the net reactance? (2020)
  1. 10Ω
  2. 50Ω
  3. 30Ω
  4. 20Ω

Questions & Step-by-Step Solutions

In an RLC circuit, if the inductive reactance is 30Ω and capacitive reactance is 20Ω, what is the net reactance? (2020)
  • Step 1: Identify the inductive reactance (XL), which is given as 30Ω.
  • Step 2: Identify the capacitive reactance (XC), which is given as 20Ω.
  • Step 3: Use the formula for net reactance, which is X = XL - XC.
  • Step 4: Substitute the values into the formula: X = 30Ω - 20Ω.
  • Step 5: Perform the subtraction: 30Ω - 20Ω = 10Ω.
  • Step 6: Conclude that the net reactance is 10Ω.
  • Reactance in RLC Circuits – The concept of reactance involves understanding how inductive and capacitive reactances interact in an RLC circuit, where inductive reactance (XL) opposes current flow and capacitive reactance (XC) allows it.
  • Net Reactance Calculation – The net reactance in an RLC circuit is calculated by subtracting capacitive reactance from inductive reactance (X = XL - XC).
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