Two large, parallel metal plates, each of area A, are oriented horizontally and separated by a distance 3d. A grounded conducting wire joins them, and initially each plate carries no charge. Now a third identical plate carrying charge Q is inserted between the two plates, parallel to them and located a distance d from the upper plate as shown in the figure. 2d (a) What induced charge appears on each of the two original plates? (Use the following as necessary: Q.) On the lower plate, the charge is On the upper plate, the charge is (b) What potential difference appears between the middle plate and each of the other plates? (Use the following as necessary: ɛ0, Q, A, and d.)

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Two large, parallel metal plates, each of area A, are oriented horizontally and
separated by a distance 3d. A grounded conducting wire joins them, and
initially each plate carries no charge. Now a third identical plate carrying
charge Q is inserted between the two plates, parallel to them and located a
distance d from the upper plate as shown in the figure.
d
2d
(a) What induced charge appears on each of the two original plates?
(Use the following as necessary: Q.)
On the lower plate, the charge is
On the upper plate, the charge is
(b) What potential difference appears between the middle plate and
each of the other plates? (Use the following as necessary: E0, Q, A, and
d.)
Transcribed Image Text:Two large, parallel metal plates, each of area A, are oriented horizontally and separated by a distance 3d. A grounded conducting wire joins them, and initially each plate carries no charge. Now a third identical plate carrying charge Q is inserted between the two plates, parallel to them and located a distance d from the upper plate as shown in the figure. d 2d (a) What induced charge appears on each of the two original plates? (Use the following as necessary: Q.) On the lower plate, the charge is On the upper plate, the charge is (b) What potential difference appears between the middle plate and each of the other plates? (Use the following as necessary: E0, Q, A, and d.)
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