Biot Savart law

(a) Use the Biot-Savart law for currents to analyze the contributions of segments 1 and 5 to the magnetic field at point P. (b) Compare the contributions of segments 2 and 4 to the magnetic field at point P (both magnitude and direction). (c) The magnetic field at P is a sum of integrals, each one for a single segment of the wire. Write expressions for all the integrals needed to evaluate the magnetic field at P but do not try to do the integrals. You may draw on the example in your textbook to help you set the integrals up.

Symmetry and Flux

A wire loop is pulled through a region of magnetic fields shown below. B2 < B1. The loop has length L, height h, and resistance R. You pull with a constant force F such that the velocity of the loop is constant. Calculate the speed in terms of the known quantities B1, B2, L, h, R and F.

flux

A tile in the horizontal xy plane has an area of 2.0cm^2. Assume that the circulation direction for its boundary is counter clockwise when viwed from above. What is the flux of the magnetic field through this tile in the vicinity of this tile, the magnetic field is approximately B=300 MN/C in a direction 37 degrees up from the horizontal? And what would be the flux if the magnetic field has a magnitude of 100 MN/C in the +y direction?

Calculate flux

We learned that the magnitude of the electric field at a point a distance r from an infinite straight wire with a uniformly distributed positive charge E=2kλ/r, where λ is the charge per unit length on the wire. Imagine that we surround a portion of such a wire with a closed surface shaped like a cylindrical can. What is the total flux of the electric field through this surface? (Hint: calculate first the flux through the two end caps, then the flux through the remainder, and sum.) An attachment to illustrate is included.

Forces on current carrying wires in magnetic fields. Induced currents.

Please see attachment for picture of the problem: A wire loop is pulled through a region of magnetic fields shown below. B2