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 .46 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 and alarm. If the mutual inductance increases by a factor of three find the new value of the induced emf.

Explanation / Answer

if mutual inductance increases by 7, then

= 0.772 * 7

= 5.40 v

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