What is the Thevenins equivalent resistance at the terminals X, Y for the circuit shown in the figure?

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper
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  1. 3 kΩ
  2. 9 kΩ
  3. 6 kΩ
  4. 2 kΩ

Answer (Detailed Solution Below)

Option 4 : 2 kΩ
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Detailed Solution

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Thevenin Theorem

Thevenin’s theorem states that it is possible to simplify any linear circuit, into an equivalent circuit with a single voltage source and a series resistance.

Steps to calculate:

  1. Thevenin Resistance (Rth): Open the circuit to the terminal from where the Thevenin resistance has to be found. While finding the Rth, short circuit the independent voltage source and open circuit the independent current source.
  2. Thevenin Voltage (Vth): This is the open-circuit voltage across the terminals where the load was connected.
     

Calculation

Open circuit the terminal XY to calculate Rth

3 kΩ, 1 kΩ and 2 kΩ are connected in series.

R = 3 + 2 + 1 = 6 kΩ 

This 6 kΩ and 3 kΩ are connected in parallel.

RXY = 2 kΩ 

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