Metal detector works on the principle of
Ohm's law
Couloumb's Law
Electromagnetic induction
Stefan's law of radiation
To solve the problem, we need to identify the correct physical principle behind the operation of a metal detector.
1. Understanding Metal Detectors:
Metal detectors typically use a coil of wire through which an alternating current is passed. This generates a time-varying magnetic field. When a metal object is present nearby, it alters this magnetic field, often by inducing eddy currents in the metal. These eddy currents, in turn, produce their own magnetic fields, which can be detected by the sensor.
2. Relevant Principle:
This behavior is governed by Faraday’s Law of Electromagnetic Induction, which states that a changing magnetic field induces an electromotive force (EMF) in a conductor. The principle of electromagnetic induction is what allows metal detectors to sense nearby conductive objects.
3. Eliminating Incorrect Options:
- Ohm’s law relates voltage, current, and resistance: not relevant here.
- Coulomb’s law describes electrostatic force: not related to detection of metals.
- Stefan’s law relates to blackbody radiation: not applicable in this context.
- Electromagnetic induction: correct, as it is the working principle behind how metal detectors detect metal objects.
Final Answer:
Metal detectors work on the principle of Electromagnetic Induction.
Conductor wire ABCDE with each arm 10 cm in length is placed in magnetic field of $\frac{1}{\sqrt{2}}$ Tesla, perpendicular to its plane. When conductor is pulled towards right with constant velocity of $10 \mathrm{~cm} / \mathrm{s}$, induced emf between points A and E is _______ mV.}
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
The electromagnetic induction is mathematically represented as:-
e=N × d∅.dt
Where