Question

A square metal plate with a thickness of 1.5 cm has no net charge and is placed in a region of uniform electric field 8.0 x 104 N/C directed perpendicularly to the plate. Find the resulting surface charge density on each face of the plate.

          A square metal plate with a thickness of 1.5 cm has no net charge and is placed in a region of uniform electric field 8.0 x 104 N/C directed perpendicularly to the plate. Find the resulting surface charge density on each face of the plate.
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A square metal plate with a thickness of 1.5 cm has no net charge and is placed in a region of uniform electric field 8.0 x 104 N/C directed perpendicularly to the plate. Find the resulting surface charge density on each face of the plate.
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Transcript

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00:04 In this problem we have a metal plate.
00:06 It is given that the thickness of the metal plate is 1 .5 centimeter.
00:13 The metal plate is placed inside a uniform electric field region.
00:20 The electric field in the region has a magnitude of 8 times 10 to the 4 newtons per cool.
00:30 Inside the metal, the electric field, the net electric field, inside the metal, let's suppose the point p, the net electric field at point p always will be 0 newton's per column since the metal inside the metal the net electric field is 0.
00:54 To create zero electric field inside the metal, the induced electric field due to the surface charge will point in the opposite direction and this is the induced electric field.
01:12 The electric field point in the opposite direction.
01:14 Now for this, on the right side, there should be positive charge and on the left face of the plate will be negative charge...
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