Mutual induction can be used as the basis for a metal detector. A typical setup

Question

Mutual induction can be used as the basis for a metal detector. A typical setup uses two large coils that are parallel to each other and have a common axis. Because of mutual induction, the ac generator connected to the primary coil causes an emf of 0.405 V to be induced in the secondary coil. When someone without metal objects walks through the coils, the mutual inductance and, thus, the induced emf do not change much. But when a person carrying a handgun walks through, the mutual inductance increases. The change in emf can be used to trigger an alarm. If the mutual inductance increases by a factor of 6, find the new value of the induced emf.

Explanation / Answer

You've worked the problem... Emf2 = - M*di1/dt

so if M increases by 6 then emf increases by 6 so 0.405*6 = 2.43V

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