A block of insulator has a nonuniform positive charge density p = Cx2, where x is measured from the center of the block (Figure 1), and C is a constant. The block is infinite in the y and z directions. Derive expressions for the electric field in (a) the exterior regions (x> d/2) (b) the interior region of the block (-d/2 < x < d/2). Figure 1 (Rajah 1)

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A block of insulator has a nonuniform positive charge density p = Cx2, where x is measured
from the center of the block (Figure 1), and C is a constant. The block is infinite in the y and z
directions. Derive expressions for the electric field in
(a) the exterior regions (x> d/2)
(b) the interior region of the block (-d/2 < x < d/2).
Figure 1 (Rajah 1)
Transcribed Image Text:A block of insulator has a nonuniform positive charge density p = Cx2, where x is measured from the center of the block (Figure 1), and C is a constant. The block is infinite in the y and z directions. Derive expressions for the electric field in (a) the exterior regions (x> d/2) (b) the interior region of the block (-d/2 < x < d/2). Figure 1 (Rajah 1)
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