A parallel-plate capacitor has a plate separation d and plate area A. An uncharged (d - а)/2 metallic slab of thickness a is inserted midway between the plates. (d - a)/2 (A) Find the capacitance of the device. (B) Show that the capacitance of the original capacitor is unaffected by the insertion of the metallic slab if the slab is infinitesimally thin. (d - а)/2 (d - a)/2

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A parallel-plate capacitor has a plate
separation d and plate area A. An uncharged
(d - а)/2
metallic slab of thickness a is inserted
midway between the plates.
(d - a)/2
(A) Find the capacitance of the device.
(B) Show that the capacitance of the original
capacitor is unaffected by the insertion of the
metallic slab if the slab is infinitesimally thin.
(d - а)/2
(d - a)/2
Transcribed Image Text:A parallel-plate capacitor has a plate separation d and plate area A. An uncharged (d - а)/2 metallic slab of thickness a is inserted midway between the plates. (d - a)/2 (A) Find the capacitance of the device. (B) Show that the capacitance of the original capacitor is unaffected by the insertion of the metallic slab if the slab is infinitesimally thin. (d - а)/2 (d - a)/2
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