A voltage source having an open circuit voltage of 100 V and internal resistance of 50 ohms is equivalent to a current source of:

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SSC JE EE Previous Year Paper 17 (Held On: 4 March 2017 Evening)
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  1. 2 A in parallel with 100 ohms
  2. 2 A in series with 50 ohms
  3. 0.5 A in parallel with 50 ohms
  4. 2 A in parallel with 50 ohms

Answer (Detailed Solution Below)

Option 4 : 2 A in parallel with 50 ohms
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Detailed Solution

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Concept:

Source transformation:

n the source transformation of a circuit, a voltage source can be transformed into the current source, and a current source can also be transformed into the voltage source.

According to source transformation technique, a voltage source-series resistance combination is equivalent to a current source-parallel resistance combination if and only if their

  • Respective open-circuit voltages are equal
  • Respective short-circuit currents are equal
  • Resistance remains the same in both cases

 

1) Voltage source to current source

F1 U.B Madhu 08.06.20 D1

 

2) Current source to voltage source:

F1 U.B Madhu 08.06.20 D2

Calculation:

A voltage source having an open circuit voltage of 100 V and internal resistance of 50 ohms can be represented as 100 V voltage source in series with a resistance of 50 ohms as shown in the below figure.

RRB JE EE FT0 15

By source transformation, we can represent this circuit as a current source with resistance in parallel.

RRB JE EE FT0 16

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