A proton traveling at 28.5 with respect to the direction of a magnetic field of strength 3.64 mT experiences a magnetic force of 8.73 x 10-17 N. Calculate (a) the proton's speed and (b) its kinetic energy in electron-volts. (a) Number Units (b) Number i UnitsIn the figure, point P2 is at perpendicular distance R = 29.0 cm from one end of straight wire of length L = 11.0 cm carrying current i = 0.921 A. (Note that the wire is not long.) What is the magnitude of the magnetic field at P2? R R L. Number UnitsOne long wire lies along an x axis and carries a current of 64 A in the positive x direction. A second long wire is perpendicular to the xy plane, passes through the point (0, 5.6 m, 0), and carries a current of 73 A in the positive z direction. What is the magnitude of the resulting magnetic field at the point (0, 1.8 m, 0)? Number UnitsThe gure shows wire 1 in cross section; the wire is long and straight, carries a current of 4.14 mA out of the page, and is at distance d1 = 2.66 cm from a surface. Wire 2, which is parallel to wire 1 and also long, is at horizontal distance d2 = 5.06 cm from wire 1 and carries a current of 6.82 mA into the page. What is the x component of the magnetic force per unit length on wire 2 clue to wire 1? Number I Units v A concave shaving mirror has a radius of curvature of +342 cm. It is positioned so that the (upright) image of a man's face is 2.12 times the size of the face. How far is the mirror from the face? Number I Units v An electron that has a velocity with x component 2.1 x 106 m/s and y component 3.7 x 10'5 m/s moves through a uniform magnetic eld with x component 0.034 T and y component -0.20 T. (a) Find the magnitude of the magnetic force on the electron. (b) Repeat your calculation for a proton having the same velocity. (a) Number n Units v (b) Number I Units v A straight conductor carrying a current i = 3.0 A splits into identical semicircular arcs as shown in the figure. What is the magnetic field at the center C of the resulting circular loop, which has a radius of 8.2 cm? Number UnitsIn the figure, two long straight wires at separation d = 10.4 cm carry currents of i1 = 4.39 mA and i2 = 8.00 i, out of the page. (a) At what coordinate on the x axis in centimeters is the net magnetic field due to the currents equal to zero? (b) If the two currents are doubled, is the zero-field point shifted toward wire 1, shifted toward wire 2, or unchanged? (a) Number Units (b)