Two thin uniformly charged rods, each with length Land total charge+Q, are parallel and separated by a distance a. The first rod has oneend at the origin and its other end on the positive y-axis. The secondrod has its lower end on the positive x-axis.Part ADetermine the x-component of the differential force dF2 exerted on a small portion of the second rod, with length dy2 and position y2, by the first rod. (This requiresintegrating over differential portions of the first rod, parameterized by dy1.)Express your answer in terms of some or all of variables Q, L, y2, dy2, a, and the electric constant €0.?(L-y³)y2dy,2+adF2, =Lαπε, . aV(1- (0, )) + a²

dF2=kq1q2r2r=y2-y12+a2dF2=kQLdy1QLdy2y2-y12+a22

wo thin uniformly charged rods, each with length Land total charge Q, are parallel and separated by a distance a. The first rod has one nd at the origin and its other end on the positive y-axis. The second ed has its lower end on the positive z-axis. Part A Determine the z-component of the differential force dF, exerted on a small portion of the second rod, with length dyz and position y2, by the first rod. (This requires integrating over differential portions of the first rod, parameterized by dy ) Express your answer in terms of some or all of variables Q, L, y2, dyz, a, and the electric constant eo. V AEO ? (L-y³) y2 dy, 2+a dF, = L'ane, +a Vy. • a

wo thin uniformly charged rods, each with length Land total charge Q, are parallel and separated by a distance a. The first rod has one nd at the origin and its other end on the positive y-axis. The second ed has its lower end on the positive z-axis. Part A Determine the z-component of the differential force dF, exerted on a small portion of the second rod, with length dyz and position y2, by the first rod. (This requires integrating over differential portions of the first rod, parameterized by dy ) Express your answer in terms of some or all of variables Q, L, y2, dyz, a, and the electric constant eo. V AEO ? (L-y³) y2 dy, 2+a dF, = L'ane, +a Vy. • a