Find the value of the equivalent inductance as seen from the open terminal for the diagram shown below.

F4 Savita ENG 28-12-23 D8

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SSC JE Electrical 11 Oct 2023 Shift 3 Official Paper-I
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  1. 12H
  2. 24H
  3. 10H
  4. 9H

Answer (Detailed Solution Below)

Option 1 : 12H
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Detailed Solution

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Concept

The voltage across inductance is given by:

\(V=L{di\over dt}\)

where, V = Voltage

L = Inductance

Calculation

Applying KVL as per the direction of current:

\(V=4{di\over dt}+3{di\over dt}+5{di\over dt}\)

\(V=12{di\over dt}\)

∴ L = 12 H

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