Question

Q.13 x² + 2y + 8z^2+ 2V 2xy - 8yz - 4V 2xz.​

Answer 1

Answer:

Step-by-step explanation:

First of all we have to find out electric field .

Electic field is given by

So, Ex = -δVx/dx = -δ(6x -8xy² -8y +6yz - 4z²)/δx

= -6 - 8y² - 0 + 0 - 0 , put (0,0,0)

Ex = -6

Similarly

Ey = -δVy/δy = -(-16x - 8 + 6z - 0) , put (0,0,0)

Ey = 8

Ez = -δVz/δz = (0 - 0 - 0 + 6y - 8z), put (0,0,0)

Ez = 0

Hence, E = -6i + 8j + 0k

|E| = 10 N/C

We know, Force = charge × electic field

e.g., F = qE

so, F = 2 × 10 = 20N

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