11 In Fig. 28-30, a charged particle enters a uniform magnetic field B with speed vo, moves through a half- circle in time To, and then leaves the field. (a) Is the charge positive or negative? (b) Is the final speed of the particle greater than, less than, or equal to vo? (c) If the initial speed had been 0.5vo, would the time spent in field B have been greater than, less than, or equal to T,? (d) Would the path have been a half-circle, more than a half-circle, or less than a half-circle? OF Figure 28-30 Question 11.

(2) Consider a uniform magnetic field B = 6.18µTj which exists in a limited square region centered at the origin with sidelength d (a) A proton is fired along the x-axis with velocity i between the proton's velocity exiting the field and the proton's initial velocity (deflection angle)? (b) An electron is fired along the x-axis with velocity i = 232m/si. What is the angle between the electron's velocity exiting the field and the electron's initial velocity (deflection angle)? (c) A square loop with sidelength s = located in the y – z plane (shown below). The torque on the loop is 7 = 5.43 x 10-6N mk. What is the magnetic moment of this loop? (d) What is the potential energy of this loop of wire? 8.44ст. 232m/si. What is the angle 5.76cm is placed with its center at the origin and y

An electron follows a helical path in a uniform magnetic field given by B=(161-42-34 k) mT. At time t = 0, the electron's velocity is given by = (211-311+58 k) m/s. (a) What is the angle between and B? The electron's velocity changes with time. (b) Do its speed changes with time? (c) Do its angle changes with time? (d) What is the radius of the helical path? (a) Number i Units

85 SSM Figure 30-74 shows a uni- form magnetic field B confined to a cylindrical volume of radius R. The magnitude of B is decreasing at a constant rate of 10 mT/s. In unit-vector notation, what is the initial acceleration of an electron released at (a) point a (radial dis- tance r = 5.0 cm), (b) point b (r = 0), and (c) point c (r = 5.0 cm)?