An aluminum pie pan is connected by a wire to a metal plate, called plate 1, as
ID: 1632179 • Letter: A
Question
An aluminum pie pan is connected by a wire to a metal plate, called plate 1, as shown below. Sitting parallel to plate 1 is a second metal plate, called plate 2, that is separated from plate 1 by a 1.5 cm gap of air. A negatively charged insulating board is held above the pie pan. 1) Will there be a net charge on plate 1? Why, or why not? If there is a net charge, what sign will it have and how do you know? 2) Will there be a net charge on plate 2? Why or why not? If there is a net charge, what sign will it have? 3) In another trial plate 2 is connected by a wire to a very large metal sphere, the insulating board is brought up near the pie pan attached to plate 1, the wire is disconnected from plate 2, and finally the insulating board is moved away from plate 1. Will there be a net charge on plate 2 under these circumstances? Why or why not? If there is a net charge, what sign will it have and how do you know?Explanation / Answer
(1)ans: given a negatively charged insulating board held above the aluminium pie pan ,by induction positive charge develops on the surface of pie pan. As the pie pan is connected to plate 1 by conducting wire ,a positive charge thereby develops on right face of plate 1. .however the charge conservation principle will always hold good for the case and thus no net charge must develop on plate 1.an electroscope may be used to confirm for the same.
(2)ans: as plate 1 right surface bears positive charge the surface of plate 2 facing plate one will develop negative charge this is mainly due to the drift on free electrons caused due to coulombic attraction force due to positive charges on plate 1.and the other part of plate 2 will have positive charge ... Here on plate 2 also there'll be no net charge appearing.
(3)ans: C=€*A/d; for C : capacitance;€: permitivity of air ; A : plate area and d : distance of separation of plates
From relation above as we move negatively charged insulating board towards pie pan the capacitance increases as distance decreases thereby resulting in more magnitude of charge developed on plate1 and plate 2 by induction ... As plate 2 is attached to metal sphere the same charge transferred and appears on the surface of metal sphere as well . Again as the insulating board moves away in this case too there'll be no net charge on plate 2 as the charge on the plates redistributes and the overall charge neutrality is maintained.
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