Answer to Question #249531 in Electrical Engineering for Ram

Question

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

V=5x-7x²y+8y²+16yz-5z , where distances are measured in meter. Calculate the y-component of the field at point (2 4 -3).

Answer 1

 The y-component of ekectric field is given by

$$E_y=-\frac{\partial V}{\partial y}=-\frac{\partial }{\partial y}(5x-7x^2y+8y^2+16yz-5z)$$

$$E_y=7x^2-16y-16z\\ =7*2^2-16*4-16*(-3)=12\:\rm V/m$$