Find out the value of i

This question was previously asked in
DFCCIL Executive Electrical 2016 Official Paper
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  1. 7.985 A
  2. 5.009 A
  3. 2.889 A
  4. - 1.375 A

Answer (Detailed Solution Below)

Option 4 : - 1.375 A
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Detailed Solution

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Concept:

Source transformation:

In 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

 

The source transformation from one source to another source is as shown below.

1) Voltage source to current source:

 

2) Current source to voltage source:

Calculation:

Given circuit can be transformed as,

5 A, 5 Ω transform into 25 V in series with 5 Ω and 2 A, 4 Ω transform into 8 V in series with 4 Ω.

The circuit can be drawn as,

Now, Veq = - 25 + (- 8) = - 33 V

Req = 24 V

We know that,

V = IR

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