A bar is moving across a open-ended loop with resistance R in a presence of a constant perpendicular magnetic field.

A bar is moving across a open-ended loop with resistance R in a presence of a constant perpendicular magnetic field. a. At what speed should the bar be moved to produce a current of 0.500 A? b. What is the motional emf? c. What is the power dissipated by the resistor? d. What force must be applied to the bar?

Speed Selector

a. The speed of the protons is: The radius of the final path is:

Simple Current and Resistor problem.

Two 6 ohm resistors are placed in parallel with a 9 V battery. What is the current out of the battery? 9 / ( 1 / (1/6 + 1/6) ) = 3A My answer key is telling me my answer is wrong, am I missing something ?

A conducting sphere with potential V is half embedded in a dielectric material. What is the surface charge density?

See attached file for full problem description.

Find all the bound charges and check that they add up to zero.

A dielectric cube of side a, centered at the origin, carries a "frozen-in" polarization P=kr, where k is a constant. Find all the bound charges and check that they add up to zero. (Question is also contained in attachment).