Carter Reyes
03/17/2023 · Primary School
The electric potential \( V \) at a point is given by \( V(x, y, z)= \) \( A\left(y^{2}-x^{2}\right) \exp \left(-B z^{2}\right) \), where \( A= \) \( 15 \mathrm{Vm}^{-2} \) and \( B=2.5 \mathrm{~m}^{-2} \) (i) Find the magnitude of the electric field vector on the positive \( x \)-axis at at point 1 m from the origin. (ii) Determine the curl of the electric field in part(i) above.
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(i) The magnitude of the electric field on the positive \(x\)-axis at 1 m from the origin is \(30 \, \text{Vm}^{-1}\).
(ii) The curl of the electric field is \((0, 0, 0)\).
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