Question

8: Question 6. - 10.0 pts possible If the potential in a region is given by the function o 1. Ey = sin(z) V = 2 x – y2 – cos(2), O 2. Ey = –2y' what is the y-component of the electric field at the point P = (x', y', z')? 3. Ey = cos(z) O 4. Ey = 2 x' O 5. Ey = 2 0 6. Ey = y2 x2 7. Ey 4 8. Ey = 2y' 9. Ey 3 10. Ey = - sin(z)

Answer 1

If potential is given in a region then we can easily find the electric field as we know that electric field is the gradient of scalar potential. So y component of electric field will be given by the partial derivative of potential with respect to y.

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Prob. Potential. V(X,Y,Z) = 2x- y² cosz È Electric field can be colculated as) V E- av av + av 2x ay az So Yo component of E E ou ay Ey=-gy at point ca', yl, z') Ey = - 2y!