Two circular loops of wire are arranged so that they lie in the same plane and are concentric. one loop, of radius a, is much smaller than the other, which has radius b, i. e. a b. if the small loop is driven with a time varying current i1(t), derive an approximate formula for the induced emf in the large loop. be sure to state the approximations or assumptions that you make in your derivation.

You are the coordinator for a program that is going to take place at night in a rectangular amphitheater in the mountains. you will have no access to any electricity, but you must be able to illuminate the entire grounds. you know the intensity of the light from a lantern varies inversely as the square of the distance from the lantern. suppose the intensity is 90 when the distance is 5 m. a. write an equation to model the situation. b. solve for the constant of variation. c. write the equation to model the situation using the constant () of variation. d. you have been given lanterns with 40 light intensity. use your equation to solve for the distance from the lantern. e. you need to illuminate 225 km. how many meters do you need to light? f. how many lanterns will you need?