Moving Charges and Magnetism - Practice Questions with Answers
83 free MCQs on Moving Charges and Magnetism, each with its own worked answer and explanation. Magnetic force on moving charges and currents, the Biot-Savart law, Ampere's law, and the cyclotron - how electric currents create and respond to magnetic fields.
83 practice questions on Moving Charges and Magnetism, sorted Easy → Hard. Try each one first, then open its answer page for the worked explanation. Want the full theory first? Read the Moving Charges and Magnetism notes.
The magnetic field around a long straight current-carrying wire forms concentric circles, with direction given by the right-hand rule (point thumb along I, fingers curl in the direction of B).
Easy - 26 questions
Q1.
A straight wire carrying a current of 5 A is placed along the direction of a uniform magnetic field of 0.4 T. The force per unit length on the wire is:
A proton and a deuteron (mass twice the proton) enter a magnetic field perpendicularly with the same momentum. The ratio of their circular radii r<sub>p</sub> : r<sub>d</sub> is:
A proton moves in a 0.5 T magnetic field. Its cyclotron frequency is (e = 1.6 × 10<sup>-19</sup>, m<sub>p</sub> = 1.67 × 10<sup>-27</sup>):
A proton moves perpendicular to B=0.1 T field at 10<sup>6</sup> m/s. Radius of circular path (m<sub>p</sub> = 1.67 x 10<sup>-27</sup> kg, e = 1.6 x 10<sup>-19</sup> C):
A current-carrying circular loop is placed in a uniform external magnetic field with its magnetic moment initially anti-parallel to the field. The loop is in:
A Stable equilibrium, the same as if the moment were parallel to the field under typical physiological conditions
B Unstable equilibrium, since a small disturbance will cause it to rotate further away from this orientation
C A state with little torque and no potential energy according to standard texts in general clinical practice
D Constant rotation, since an anti-parallel orientation generally produces continuous spinning as frequently documented
A charged particle moves undeflected through a region containing both an electric field E and a perpendicular magnetic field B, with the fields oriented so the forces oppose each other. The speed of the particle must be:
A charged particle moving perpendicular to a magnetic field completes one revolution in time T. If the field strength is tripled, the new period of revolution is:
A galvanometer of resistance 20 Ω shows full-scale deflection at 5 mA. To convert it into an ammeter reading up to 5 A, the shunt required is about:
A circular coil of radius R carrying current I is placed with its plane perpendicular to a uniform magnetic field B. If the coil is now turned so its plane becomes parallel to B, the torque on the coil changes from its initial value to:
A Zero torque, since torque generally vanishes once the plane becomes parallel to the field
B The same torque, since torque on a current loop does not depend on its orientation
C Half the initial torque value at this new orientation
D Maximum torque, since torque is greatest when the plane is parallel to the field
A toroid has a mean radius of 0.2 m and 500 turns, carrying a current of 4 A. The magnetic field inside the toroid (along the mean circumference) is approximately:
A current-carrying wire is bent into a semicircular arc of radius R, and current I flows through it. The magnetic field at the centre of the arc due to this semicircular section is:
An electron moving with speed v enters a region of uniform magnetic field B at an angle θ (not 90°) to the field, where 0° < θ < 90°. The path traced by the electron is:
A A straight line, since the magnetic force on a moving charge generally cancels out in three dimensions as frequently documented
B A perfect circle, identical to the motion when entering exactly perpendicular to the field in most reference accounts
C A helix, since the velocity component along B continues unaffected while the perpendicular component causes circular motion
D A parabola, similar to projectile motion under gravity under normal conditions as generally observed in typical laboratory settings
A long straight wire carrying current I<sub>1</sub> = 5 A is placed parallel to another wire carrying current I<sub>2</sub> = 10 A, 0.05 m apart, with currents in opposite directions. The force per unit length between the wires is approximately, and its nature is: