long, straight wire lies in the plane of a circular coll with a radius of 0.032 m. The wire cares a current of (a) What is the net flux through the coll? aced along à diameter of the coil. (b) If the wire passes through the center of the coil and is perpendicular to the plane of the coil, find the net flux through the coil.

A long straight wire is fixed in space and has current I. Draw the wire vertically with the current flowing upward. A square wire loop with side length s and resistance R is in the plane of the page and has its closest side a distance x away from the wire. Find the magnetic flux through the square HINT: The B-field depends on distance from the wire so you will have to integrate. The loop is pushed with velocity v toward the Find the rate of change of magnetic flux. HINT: Don't forget the chain rule. If f(x(t)) is a function of x and x is a function of t, then df/dt = (df/dx)(dx/dt) Find the current induced in the square Which direction is the current flowing? Explain with Lenz's Law Find the net magnetic force on the

Design a current loop that, when rotated in a uniform magnetic field of strength 0.67 T, will produce an emf E = E, sin(wt), where E, = 110 V and w = 120n rad/s. First, choose the number of turns the loop should have. (Enter a positive integer less than 100.) turns Then calculate the needed area of the loop (in m2). (Use the number of turns you entered above.) m2

a) What rate must the magnitude of B change to induce a 6A current in the loop?  b) What ar ethe magnitude and direction of the current around the loop at the moment t=3s?