- Part C Constants The electric potential V in a region of space is given by V(x

Question

- Part C Constants The electric potential V in a region of space is given by V(x, y, z) = A(z2 – 3y² +22) where A is a constant. Determine the electric field at the point (0, 0, 0.250 m). Enter your answers numerically separated by commas. Va Azp 5 + O 2 ? Ex, E,, E- - 320 V/m Submit Previous Answers Request Answer X Incorrect; Try Again; 6 attempts remaining - Part D Show that in every plane parallel to the xz-plane the equipotential contours are circles. Essay answers are limited to about 500 words (3800 characters maximum, including spaces). 3800 Character(s) remaining Submit Request Answer

Explanation / Answer

C) E = -640(2x i - 6y j + 2z k) at (0,0,0.250)

E= -640(0+ 0 + 0.5 k)

E= (0, 0, -320 k) V/m

D) V(x,y,z)= A(x^2-3y^2+z^2)

For any plane parallel to xz plane we can write y=const (let y=c)

Therefore V(x,z)= 640(x^2+z^2+c)

For equipotential surface V=const(let v0)

v0/640-c = x^2+z^2

This is of the form x^2+z^2=(r)^2 where r is constant(which is a general equation of a circle(with center at origin) in xz plane)

Thus it represent a circle in xz plane

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