An electron has an initial velocity with an x componentof zero, a y component of

Question

An electron has an initial velocity with an x componentof zero, a y component of 12.0 km/s, a zcomponent 21.3 km/s, and a constant acceleration of 2.92 x1012 m/s2 in the positive xdirection in a region in which uniform electric and magnetic fieldsare present. If the magnetic field has a magnitude of 442 µTand is in the positive x direction, find the(a)x, (b)y, and(c)z components of the electric field.Give your answers in V/m

(a)

Number

Units

(b)

Number

Units

(c)

Number

Units

(a)

Number

Units

Explanation / Answer

v = (12.0 j + 21.3 k) km/s a = 2.92 x 1012 m/s2 i B = 442 µT i q = -1.6*10-19 C Fnet = qE + qv x B a = Fnet/m = q(E + v x B)/m ax = q(Ex + vyBz -vzBy)/m, so a = qEx/m, Ex = ma/q =-16.6 V/m ay = q(Ey + vzBx -vxBz)/m, so 0 = Ey +vzBx - vxBz Ey = - vzBx = -9.41 V/m az = q(Ez + vxBy -vyBx)/m, so 0 = Ez +vxBy - vyBx Ez = vyBx = 5.30 V/m

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