A parallel-plate capacitor has a separation distance d between the two plates and is connected to a battery to main a potential difference V between the two plates. The plates have a width w and have a length L extending into the page. We gradually insert a metal slab of thickness t into the space between the two plates. Along the way, the slab is parallel with the two plates. Find the electric force acting on the metal slab when it is inserted a distance x into the capacitor. (Don't forget that the external source that maintains the potential difference also does work on the moving charges. You should find the force tends to draw the slab into the capacitor.) d. x = 0

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A parallel-plate capacitor has a separation distance d between
the two plates and is connected to a battery to main a potential
difference V between the two plates. The plates have a width
w and have a length L extending into the page. We gradually
insert a metal slab of thickness t into the space between the
t
d
x = 0
two plates. Along the way, the slab is parallel with the two
plates. Find the electric force acting on the metal slab when it is inserted a distance x into the capacitor.
(Don't forget that the external source that maintains the potential difference also does work on the moving
charges. You should find the force tends to draw the slab into the capacitor.)
Transcribed Image Text:A parallel-plate capacitor has a separation distance d between the two plates and is connected to a battery to main a potential difference V between the two plates. The plates have a width w and have a length L extending into the page. We gradually insert a metal slab of thickness t into the space between the t d x = 0 two plates. Along the way, the slab is parallel with the two plates. Find the electric force acting on the metal slab when it is inserted a distance x into the capacitor. (Don't forget that the external source that maintains the potential difference also does work on the moving charges. You should find the force tends to draw the slab into the capacitor.)
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