The electric potential in a certain region of space is givenby V(x,y,z)=xy+, in

Question

The electric potential in a certain region of space is givenby V(x,y,z)=xy+, in units of volts, where=2.56V/m^2 and =6.55V are constants. 1. What isthe x-component of the electric field at a pointP=(4.50,3.00,2.00), where the coordinates are given inmeters? 2. What isthe magnitude of the electric field at the same point? The electric potential in a certain region of space is givenby V(x,y,z)=xy+, in units of volts, where=2.56V/m^2 and =6.55V are constants. 1. What isthe x-component of the electric field at a pointP=(4.50,3.00,2.00), where the coordinates are given inmeters? 2. What isthe magnitude of the electric field at the same point?

Explanation / Answer

We know that           E =-V a) The x component of electric field at point P is                         Ex = - y = - 2.56 * 3.00 = - 7.68 V/m b) Ey = - x = - 2.56 * 4.50 = -11.52 V/m         magnitude E =Ex2 + Ey2 = 13.84 V/m

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