Section 5.9: Mixed Practice

This section contains a mix of problems covering magnetic fields, Lorentz force, electromagnetic induction, and inductance for comprehensive practice.

Practice Problems

  1. A wire 0.4 m long moves perpendicular to a 0.9 T magnetic field with a speed of 2.5 m/s. Find the induced EMF.
  2. An RL circuit has R = 5 Ω, L = 2 H, and is connected to a 12 V battery. Find the initial current and the current after 0.5 s.
  3. A coil of 50 turns and area 0.01 m² is in a magnetic field changing at 0.2 T/s. Determine induced EMF.
  4. A proton moves at 2×10⁶ m/s perpendicular to a 0.1 T magnetic field. Find the Lorentz force on it.
  5. Calculate the energy stored in a 1.5 H inductor carrying 3 A current.
  6. A rectangular loop of area 0.05 m² experiences a magnetic flux change from 0.2 T to 0.8 T in 0.1 s. Find average EMF.
  7. A circular loop of radius 0.1 m rotates in a 0.5 T magnetic field with angular speed 50 rad/s. Find maximum induced EMF.
  8. Find the radius of curvature of an electron moving at 10⁷ m/s in a uniform 0.01 T magnetic field.
  9. A 0.2 m wire moves at 3 m/s in a perpendicular magnetic field of 0.6 T. Find induced EMF and current if R = 2 Ω.
  10. A coil with inductance 0.5 H and resistance 1 Ω is connected to a 10 V battery. Find the steady-state current and time constant.