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A circular parallel plate capacitor, of radius 2.0 cm, is being charged by a 12V battery....

A circular parallel plate capacitor, of radius 2.0 cm, is being charged by a 12V battery. The charge is initially zero on the capacitor.   There is a resistance of 4 ohms connected in series with the capacitor, and an open switch.    Find the magnitude of the magnetic field in the gap of the capacitor, at a point 1cm distant from the central axis of the capacitor, after the switch is closed at a time equal to the time constant of the circuit. Express the answer in units of Teslas.

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