The electric field in a region of space near the origin is given by (yî+ xî E(x, y, z) = E a (a) Evaluate the curl V x E(x, y, z) (b) Setting V (0,0,0) = 0, select a path from (0,0,0) to (r, y,0) and compute V (r, y, 0). (c) Sketch the four distinct equipotential lines that pass through the four points (a, a), (-a, a), (-a, -a), and (a, -a). Label each line by the value of V.
The electric field in a region of space near the origin is given by (yî+ xî E(x, y, z) = E a (a) Evaluate the curl V x E(x, y, z) (b) Setting V (0,0,0) = 0, select a path from (0,0,0) to (r, y,0) and compute V (r, y, 0). (c) Sketch the four distinct equipotential lines that pass through the four points (a, a), (-a, a), (-a, -a), and (a, -a). Label each line by the value of V.
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Transcribed Image Text:The electric field in a region of space near the origin is given by
E(z, y, :) – E, (*)
yî+ xî
a
(a) Evaluate the curl Vx E(x, y, z)
(b) Setting V(0, 0, 0) = 0, select a path from (0,0, 0) to (x, y, 0) and compute V (r, y,0).
(c) Sketch the four distinct equipotential lines
that pass through the four points (a, a),
(-a, a), (-a, -a), and (a, -a). Label each line
by the value of V.
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