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An emf of 91 mV is induced in the windings of a coil when the current in o nearby coil is increasing at the rate of 1.3 A/s. what is the mutual inductance (M) of the two coils in mH? - Physics

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Question

An emf of 91 mV is induced in the windings of a coil when the current in o nearby coil is increasing at the rate of 1.3 A/s. what is the mutual inductance (M) of the two coils in mH?

Numerical

Solution

Given,

es = 91 mv = 91 × 10-3 V

`("dl"_"P")/"dt"` = 1.3 A/S

M = ?

Induced emf in the coil is

`"e"_"s" = "M" ("dl"_"P")/"dt"`

M = `"e"_"s"/(("dl"_"P"//"dt"))`

`= (91 xx 10^-3)/1.3`

= 70 × 10-3 H

M = 70 mH

Mutual inductance of two coil is 70 mH.

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2021-2022 (March) Set 1

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