An uncharged, infinitely long conducting cylinder of radius a is placed in an initially uniform clectric ficld E = Eoi, such that the cylinder's axis lics along the z axis. The resulting clectrostatic potential is V (x, y, z) = Vo for points inside the cylinder, and Ega?x x² + y? V (r, y, z) = Vo – Egx + for points outside the cylinder, where Vo is the (constant) clectrostatic potential on the conductor. Usc this expression to determine the resulting clectric ficld, E.
An uncharged, infinitely long conducting cylinder of radius a is placed in an initially uniform clectric ficld E = Eoi, such that the cylinder's axis lics along the z axis. The resulting clectrostatic potential is V (x, y, z) = Vo for points inside the cylinder, and Ega?x x² + y? V (r, y, z) = Vo – Egx + for points outside the cylinder, where Vo is the (constant) clectrostatic potential on the conductor. Usc this expression to determine the resulting clectric ficld, E.
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Transcribed Image Text:An uncharged, infinitely long conducting cylinder of radius a is placed in an initially
uniform clectric ficld E = Eoi, such that the cylinder's axis lics along the z axis. The
resulting clectrostatic potential is V (x, y, z) = Vo for points inside the cylinder, and
Ega?x
x² + y?
V (r, y, z) = Vo – Egx +
for points outside the cylinder, where Vo is the (constant) clectrostatic potential on the
conductor. Usc this expression to determine the resulting clectric ficld, E.
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