The potential in a region is given by V = axy, where a is a con-stant. (a) Determine the electric field in the region. (b) Sketch some equipotentials and field lines.
The potential in a region is given by V = axy, where a is a con-stant. (a) Determine the electric field in the region. (b) Sketch some equipotentials and field lines.
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The potential in a region is given by V = axy, where a is a con-stant. (a) Determine the electric field in the region. (b) Sketch some equipotentials and field lines.
Expert Solution
Step 1
(a)
The electric potential function is as follows,
The components of electric field is calculated as follows,
Also,
The electric field in the
plane is as follows,
The electric field in the
plane is
.
(b)
The figure depicts the equipotential surface and electric field lines is as follows,
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