Chapter 6: Q9P (page 334)
over the entire surface of the volume in the first octant bounded byand the coordinate planes, where
Short Answer
The solution derived is
Chapter 6: Q9P (page 334)
over the entire surface of the volume in the first octant bounded byand the coordinate planes, where
The solution derived is
All the tools & learning materials you need for study success - in one app.
Get started for freeIn the figure is a unit vector in the direction of an incident ray of light, and and are unit vectors in the directions of the reflected and refracted rays. If is a unit vector normal to the surface , the laws of optics say that and , where and are constants(indices of refraction). Write these laws in vector form (using dot or cross products).
Given and the point (3,4,1) find
(a) at P ;
(b) a unit vector normal to the surface at P ;
(c) a vector in the direction of most rapid increase of at P;
(d) the magnitude of the vector in (c);
(e) the derivative of at in a direction parallel to the line
A vector force with components acts at the point. Find the vector torque about the origin due to this force and find the torque about each of the coordinate axes.
Verify that the force field is conservative. Then find a scalar potential such that .
A cylindrical capacitor consists of two long concentric metal cylinders. If there is a charge of k coulombs per meter on the inside cylinder of radius, and coulombs per meter on the outside cylinder of radius,find -k the electric field E between the cylinders. Hint: Use Gauss’s law and the method indicated in Figure 10.7. What is E inside the inner cylinder? Outside the outer cylinder? (Again use Gauss’s law.) Find, either by inspection or by direct integration, the potential role="math" localid="1659237306724" such thatfor each of the three regions above. In each case E is not affected by adding an arbitrary constant to. Adjust the additive constant to makea continuous function for all space
What do you think about this solution?
We value your feedback to improve our textbook solutions.