Problem: (II) The electric potential in a region of space varies as V=by/(a2+y2). Determine E.

FREE Expert Solution

The electric field, E is:

$E = - \nabla V$

But,

$\nabla = i \frac{\partial}{\partial x} + j \frac{\partial}{\partial y} + k \frac{\partial}{\partial z}$

Now we can express E as:

$E = - (i \frac{\partial}{\partial x} + j \frac{\partial}{\partial y} + k \frac{\partial}{\partial z}) V$ , where V is the electric potential in the region of space.

92% (488 ratings)

Problem Details

(II) The electric potential in a region of space varies as V=by/(a²+y²). Determine E.

Learn this topic by watchingElectric Field As Derivative of Potential Concept Videos

All Physics Practice Problems Electric Field As Derivative of Potential Practice Problems

See all problems in Electric Field As Derivative of Potential

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Electric Field As Derivative of Potential concept. You can view video lessons to learn Electric Field As Derivative of Potential. Or if you need more Electric Field As Derivative of Potential practice, you can also practice Electric Field As Derivative of Potential practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Espinoza's class at UIC.

Problem: (II) The electric potential in a region of space varies as V=by/(a2+y2). Determine E.

FREE Expert Solution

Problem Details

Sign up for free to watch this video!