A particle with mass 0.8 gram and charge .02 μC is moving in the x-y plane with a velocity v(t) given by the formula v(t) = (15000 i + 30000 j )m/s. It enters a region of space where a magnetic field B exists, given by B = (1.5 i + 2j) T. What is the force on the charge? (Hint: i, j and k are the unit vectors along x, y and z-axis respectively. Use the relationships i x i = j x j  =  k x k  = 0, and i x j  = k, etc.) a) .0003 N along positive z b) .0003 N along positive x                           c) .0003 N along negative z.   What is its acceleration? 0.375 m/s2 along negative z    b) 0.375 m/s2 along positive x              c) 0.375 m/s2 along positive z

A particle with positive charge q = 3.52 x 1018 C moves with a velocity v = (5î + 4ĵ – k) m/s through a region where both a uniform magnetic field and a uniform electric field exist. (a) Calculate the total force on the moving particle, taking B = (3î + 2ĵ + k) T and E = (3î - j - 2k) V/m. (Give your answers in N for each component.) Ey = Ey = F, = (b) What angle does the force vector make with the positive x-axis? (Give your answer in degrees counterclockwise from the +x-axis.) ° counterclockwise from the +x-axis (c) What If? For what vector electric field would the total force on the particle be zero? (Give your answers in V/m for each component.) E, = V/m E, = V/m E, = V/m

Current I = 30 A flows in a straight wire. An ion with charge Q = 3.2e-19 C is moving toward the wire, at distant r = 0.10 m, with speed v = 5.00×106 m/s. The magnetic force on the ion is antiparallel to the current. What is the magnitude of the force? (in N) OA: 3.742×10¯ OB: 4.379x10- OC: 5.123x10- OD: 5.994x10- 17 17 17 17 Submit Answer Tries 0/12 OE: 7.013x10 17 OF: 8.205x10- 17 OG: 9.600x10" OH: 1.123×10 17 16 Send Feedback 05008HISSO

You have placed electrons in a magnetic field. The electrons move in horizontal circles of radius 9.5 cm when their speed is 2.0×10^6 m/s. What is the magnitude and direction of the magnetic field that causes this motion?