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I know that I can detect a vehicle by using magnetic field. I can see obviously difference in signal when a vehicle pass. But I don't see that when measuring in a car.

Is it possible to measure outside magnetic field from inside a car? If possible, how could I extract that signal?

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Inside of a car you are basically in a metal cage that can act like a Faraday cage. You might be able to couple the detector to the car's exterior and use the car as part of the detector (Note: this is a stream of thought guess). – honeste_vivere Jan 30 '15 at 0:09

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