Right-Hand Rules for Magnetism and Induction

UNM Center for Academic Program Support (CAPS)

  1. Magnetic Force
    1. Magnitude: FB=qvB sinq=pB sinq
    2. Direction: Use RHR
      1. Place your right-hand fingers in direction of v (or I)
      2. You have freedom to rotate your hand about your "finger-axis"
      3. Orient your hand so that when you curl your fingers inward they pass through the direction of B
      4. If the charge q is negative, flip the direction of your thumb (ignore if using current I)
      5. Your thumb indicates direction of FB

  2. Magnetic Field Created by a Current
    1. Magnitude: use Ampère's Law: S B|| Dl = m0 Ienclosed
      1. Remember to choose a circular path centered on I so you can say that B|| = B = constant around the loop
    2. Direction: Use RHR
      1. Place your right-hand thumb along I
      2. Your fingers curl in the direction of the (curled) B-field
    3. Alternate RHR for Current Loop Only!
      1. Curl your right-hand fingers in direction of I
      2. Your thumb points in the direction of B through the center of the loop (note that B is reversed outside the loop)

  3. Magnetic Induction
    1. emf = - N DFB / Dt
      1. "-" sign means use Lenz's law (see below)
      2. N is the number of loops
      3. Magnetic flux FB = BA cos q, where B is the magnetic field strength, A is the area over which the field exists, and q is the angle between B and the vector perpendicular to the area; DFB is the change in flux
      4. Dt is the time interval over which the change in flux takes place
    2. If finding the Electric field, remember that S E|| Dl = emf
    3. Lenz's Law
      1. Nature opposes change in flux
      2. "Count" field lines through the loop to begin with-this number is proportional to the flux FB
      3. Note whether this number goes up or down in the change (more or fewer field lines)
      4. Nature will counter this change with an induced B field and restore the original confirguration
      5. Use the RHR from above to determine the current direction that would give rise to this induced B



Created for CAPS by Nick Menicucci