A charged particle of mass and charge enters a region of uniform magnetic field with…
PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences
Problem
A charged particle of mass m and charge q enters a region of uniform magnetic field B with speed v making an angle 30∘ with the field lines.
(i) Derive expressions for (a) the radius r of the circular component of the motion and (b) the pitch p of the helical path.
(ii) State whether the helix traced by a positive charge in this situation is right-handed or left-handed with respect to the direction of the magnetic field. What would be the handedness for a negative charge? Give reasons for both answers.
(iii) A deuteron (m=3.34×10−27kg,q=+e) enters a 0.50T field with speed 5.0×106m s−1 at the specified angle. Calculate the numerical values of r and p.