The wire loop in Figure (a) is subjected, in turn, to six uniform magnetic fields, each directed parallel to the z axis. Figure (b) gives the z components B, of the fields versus time t. (Plots 1 and 3 are parallel; so are plots 4 and 6.) Rank the six plots according to the emf induced in the loop, greatest clockwise emf first, greatest counterclockwise emf last. If multiple choices rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:Greatest, B:Greatest, C:Third greatest). If all choices rank equally, rank each as 'Greatest. ....2. (a) (b) Plot 1 Plot 2 Plot 3 Plot 4 Plot 5 Plot 6 >

A 100-turn coil is rotating with a constant angular speed in a uniform magnetic field of 0.486 T that is perpendicular to its surface at t= 0 s. The diameter of the coil is 10 cm. Calculate the magnitude (i.e., positive value) of the electric charge induced in the coil during half a revolution, in mC, if the resistance of the coil is 39.7 N. Calculate i like in the previous problem, and then solve the integral i. dt to find the induced charge (T is the period).

The conducting loop of the shape shown in the figure is being pulled out of a constantBext magnetic field at a constant speed v. The left part of the loop KN is a semicircle ofradius a. The top and the bottom parts of the loop are equal, KL=NM=b. Theresistance per unit length of the conductor is r (Ω/m). During the time intervalbetween when line LM and then KN are at the border of the magnetic field,a) What is the direction ofthe induced current? Explainyour choice of direction.b) What is the EMFproduced in the loop?c) What is the size of theinduced current?

A 42 turn conductive loop encloses an area of 0.68 m2. At what constant rate should the magnetic field directed perpendicular to the loop change with time if the induced emf is to be 3.6 Volts? Consider only positive numbers here in your answer.

You have two single turn circular loops of wire oriented such that they have a common center and the planes of the loops are perpendicular. As shown in the figure below, loop #1 lies in the in the xy-plane and has a counterclockwise current when viewed from the positive z-axis, while loop #2 lies in the xz-plane and has a counterclockwise current when viewed from the positive y-axis. (a) If the loops each have a radius of 3.9 cm and they each carry a current of 2.7 A, determine the magnitude of the net magnetic field at the common center. (b) The direction of a vector in three dimensions is often given by the angle makes with the positive x, y, and z-axes. What is the angle between the net magnetic field at the center and the positive x-axis? What is the angle between the net magnetic field at the center and the positive y-axis? What is the angle between the net magnetic field at the center and the positive z-axis?

A loop of wire enclosing an area A is placed in a region, where the magnetic field is perpendicular to the plane of the loop. The magnetic field of B varying in time according to the expression B=Be", where a is some -at constant. (a) Find the induced EMF in the loop as a function of time. (b) Find the expression for maximum induced EMF. (c) Using the following diagrams, show the directions [in Figure] of Induced-Current and Induced Magnetic Field for the circular loop 10

A single-turn circular loop of wire that has a radius of 2.0 cm lies in the plane perpendicular to a spatially uniform magnetic field. During a 0.12-s time interval, the magnitude of the field increases uniformly from 0.2 T to 0.5 T. 1)Determine the magnitude of the emf induced in the loop during the time interval. (Express your answer to two significant figures.)

At what frequency should a 153-turn, flat coil of cross sectional area of 222 cm² be rotated in a uniform 29-mT magnetic field to have a maximum value of the induced emf equal to 6 V? Write your answer in hertz.