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Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V induced, give an estimate of the self-inductance of the circuit. - Physics

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प्रश्न

Current in a circuit falls from 5.0 A to 0.0 A in 0.1 s. If an average emf of 200 V induced, give an estimate of the self-inductance of the circuit.

संख्यात्मक
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उत्तर

Initial current, I1 = 5.0 A

Final current, I2 = 0.0 A

Change in current, dI = I1 − I2 = 5 A 

Time taken for the change, t = 0.1 s

Average emf, e = 200 V

For self-inductance (L) of the coil, we have the relation for average emf as:

e = `"L""dl"/"dt"`

`"L" = "e"/((("dl")/("dt")))`

= `200/(5/0.1)`

= 4 H

Hence, the self-induction of the coil is 4 H.

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अध्याय 6: Electromagnetic Induction - EXERCISES [पृष्ठ १७६]

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एनसीईआरटी Physics Part 1 and 2 [English] Class 12
अध्याय 6 Electromagnetic Induction
EXERCISES | Q 6.7 | पृष्ठ १७६

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