Question

A particle with charge -5.60 nC is moving in a uniform magnetic field B=-(1.25 T)z (z-direction). The magnetic force on the particle is measured to be ?? = ?(3.40 × 10?7 N)??? + (7.40 × 10?7 N)???. (a) Calculate all the components of the velocity of the particle that you can from this information. (b) Are there components of the velocity that are not determined by the measurement of the force? Explain your answer. (c) Calculate the scalar product of ?? ? ??. What is the angle between ?? and ???

Answer 1

Part b)

Since, from the part a), we can calculate only the v_x and v_y components of the velocity.

Hence, v_z component cannot be determined from the given Force and Magnetic field directions.

Part d)

F.v = |F|*|v|*Cos(theta)

from part c), F.v = 0, implies Cos(theta)=0

Hence, for theta = 90^o, Cosine takes the value 0.