Flux #2

Consider a body of flowing water, such as a river. We can describe the flow of river water mathematically by a vector field that describes the water velocity v at ever a) First, imagine that the surface is perpendicular to the water flow in its vicinity, so that the flux of water through the surface is dv= vdA = +vdA. Argue that the volume of water that flows through this surface per unit time is equal to the flux. (hint: argue that the volume of water that will flow through the surface in a time interval t is vdA. b) Now imagine that the surface has an arbitrary orientation with respect to the flow. extending your argument for part (a), argue tha... click for more

Physics

a) Give a counterexample to show that the following statement is false: "When the magnetic field through a loop changes, currents run in the loop in such a way as to make a new magnetic field in the opposite direction to the original one." (b) Two metal rings lie side by side on a table. Current in the left ring runs clockwise and is increasing with time. This induces a current to run in the right ring. Does this induced current run clockwise or counterclockwise? Explain, using a diagram.

Magnetic Field - Excel Graph

Consider a flat circular current loop of radius R carrying current I. Chose the X axis to be along the axis of the loop, with the origin at the center of the loop. In MS Excel - Graph the ratio of the magnitude of the the magnetic field at coordinate x to that of the origin, for x = 0 to x=5R.

Determining beat frequency from a ultrasound wave

Ultrasound reflected from an oncoming bloodstream that is moving at a 30 cm/s is mixed with the original frequency of 2.5 MHz to produce beats. What is the beat frequency? (Velocity of sound in blood = 1540 m/s.) Beat frequency = in Hz

Magnetic Field/Induction, A circular coil with radius R = 8.0 cm has 15 turns of wire. The magnetic induction field in the center of the loop is 6.0 X 10-4 T. Find current in the loop.

A circular coil with radius R = 8.0 cm has 15 turns of wire. The magnetic induction field in the center of the loop is 6.0 X 10-4 T. Find current in the loop.