3. An infinite and grounded conducting plane sits on the xy plane at z = 0. Above the plane, positive charges q₁ and q2 are placed on the z axis at positions z = a and z = b respectively, with a < b. Using the method of images, find the induced charge density on the conducting plane at radius P from the origin.

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3. An infinite and grounded conducting plane sits on the xy plane at z = 0. Above the plane,
positive charges q₁ and q2 are placed on the z axis at positions z = a and z = b respectively, with
a ≤ b. Using the method of images, find the induced charge density on the conducting plane at
radius P
from the origin.
Transcribed Image Text:3. An infinite and grounded conducting plane sits on the xy plane at z = 0. Above the plane, positive charges q₁ and q2 are placed on the z axis at positions z = a and z = b respectively, with a ≤ b. Using the method of images, find the induced charge density on the conducting plane at radius P from the origin.
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