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Consider \({I}_{1}\) and \({I}_{2}\) are the currents flowing simultaneously in two nearby coils 1 & 2, respectively…

Q1

Consider \({I}_{1}\) and \({I}_{2}\) are the currents flowing simultaneously in two nearby coils 1 & 2, respectively. If \({L}_{1}=\) self inductance of coil \(1,{M}_{12}=\) mutual inductance of coil 1 with respect to coil 2 , then the value of induced emf in coil 1 will be:

[JEE Main 2025, 29 Jan (Shift 1)]

a

\({\epsilon }_{1}=-{L}_{1}\frac{d{I}_{1}}{dt}+{M}_{12}\frac{d{I}_{2}}{dt}\)

b

\({\epsilon }_{1}=-{L}_{1}\frac{d{I}_{1}}{dt}-{M}_{12}\frac{d{I}_{2}}{dt}\)

c

\({\epsilon }_{1}=-{L}_{1}\frac{d{I}_{1}}{dt}-{M}_{12}\frac{d{I}_{1}}{dt}\)

d

\({\epsilon }_{1}=-{L}_{1}\frac{d{I}_{2}}{dt}-{M}_{12}\frac{d{I}_{1}}{dt}\)

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