Section 9.9: Mixed Practice

This section combines problems from all subtopics in Chapter 9: Electric Forces, Electric Potential, Capacitance, Current & Resistance, Ohm's Law, Kirchhoff Laws, and Magnetic Fields. Solve these to reinforce understanding of multiple concepts together.

Mixed Practice Problems

  1. Two charges, 3 μC and 5 μC, are 0.2 m apart. Find the force between them.
  2. A 10 μF capacitor is charged to 12 V. Determine the energy stored.
  3. A 6 Ω resistor is connected across a 12 V battery. Find the current and power dissipated.
  4. Two resistors, 8 Ω and 4 Ω, are in parallel across a 12 V battery. Find the total current.
  5. A wire 0.5 m long carries a current of 2 A perpendicular to a 0.3 T magnetic field. Find the force.
  6. A proton moves at 3 × 10^6 m/s perpendicular to a 0.2 T field. Find the magnetic force on it.
  7. Find the electric potential at a point 0.4 m from a 2 μC point charge in vacuum.
  8. A series circuit has a 5 Ω and 10 Ω resistor connected to a 15 V battery. Calculate the current in each resistor.
  9. A capacitor of 15 μF is connected to 9 V battery. Find the charge stored and energy stored.
  10. A 0.6 m wire carries 4 A current perpendicular to a 0.5 T field. Calculate the magnitude and direction of the magnetic force.