Question #249531

1. The electric potential (V) in a region of space in volts is given by

V=5x-7x^{2}y+8y^{2}+16yz-5z ,** **where distances are measured in meter. Calculate the y-component of the field at point (2 4 -3).

Expert's answer

The y-component of ekectric field is given by

"E_y=-\\frac{\\partial V}{\\partial y}=-\\frac{\\partial }{\\partial y}(5x-7x^2y+8y^2+16yz-5z)""E_y=7x^2-16y-16z\\\\\n=7*2^2-16*4-16*(-3)=12\\:\\rm V\/m"

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