Question

The electric potential in a region of space is given by V = (5x – 7x2y + 8y2 + 16yz – 4z) volt. The y-component of the electric field at the point (2, 4, -3) is

Answer 1

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Answer 2

Answer:

Concept :

The amount of labour required to convey a unit of electric charge from a reference point to a given place in an electric field is known as the electric potential (also known as the electric field potential, potential drop, or the electrostatic potential). More specifically, it is the energy per unit charge for a test charge that is negligibly disruptive to the field under discussion. In order to prevent the test charge from gaining kinetic energy or radiating, the travel across the field is also meant to occur with very little acceleration. The electric potential at the reference location is, by definition, zero units. Any point may be used as the reference point, but typically it is earth or a point at infinity.

Explanation:

Given :

V=(5x-7x2y+8y2+16yz-4z) volt

Point (2,4,-3)

To find :

The y - component ?

Solution :

At the point (2,4,-3)

V=(5x-7x2y+8y2+16yz-4z)

E=- (dvy/dy)

E= - (-$7^{2}$+16y+16z) at (2,4,-3)

E= - (-28+64-48)

E= - (-76+64)

E= -12

E= 12 volt/m.

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