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  1. Practice problem

    Find the emf that makes a branch quiet →

    Advanced · Find a missing quantity. At what E₂ is the second branch current zero?

  2. Practice problem

    Find the energy taken by the cup →

    Intermediate · Read graphs & measurements. What is the cup heat capacity?

  3. Practice problem

    Find the hidden interface temperature →

    Intermediate · Connect concepts. Find the interface temperature.

  4. Practice problem

    Find the hidden open-circuit intercept →

    Intermediate · Read graphs & measurements. What emf is consistent with a constant internal resistance?

  5. Practice problem

    Find the image without losing a sign. →

    Intermediate · Find a missing quantity. Where is the image, and what is its signed lateral magnification?

  6. Practice problem

    Find the resonant angular frequency →

    Intermediate · Find a missing quantity. Find its resonant angular frequency.

  7. Practice problem

    Find what the supply sees through a bridge →

    Advanced · Find a missing quantity. What is the equivalent resistance seen by the source?

  8. Practice problem

    First arrival at equilibrium →

    Intermediate · Find a missing quantity. When does it first reach equilibrium?

  9. Practice problem

    Fit the longest standing wave on a string. →

    Intermediate · Connect concepts. What is the fundamental frequency?

  10. Practice problem

    Flux changes through fifty turns →

    Intermediate · Apply a principle. Find the induced emf magnitude.

  11. Practice problem / FREE SAMPLE

    Flux through an enclosing surface →

    Intermediate · Apply a principle. Only enclosed net charge determines the total flux; the surface shape does not enter.

  12. Practice problem

    Focus at a single surface →

    Advanced · Connect concepts. Find the signed image distance from the vertex, taking right as positive.

  13. Practice problem

    Follow changing flux across the gap →

    Intermediate · Connect concepts. Find the displacement-current magnitude through the gap.

  14. Practice problem

    Follow the system, not either cart →

    Intermediate · Apply a principle. What is their center-of-mass velocity throughout this interaction?

  15. Practice problem / FREE SAMPLE

    Force between two tiny charges →

    Intermediate · Apply a principle. Convert microcoulombs before multiplying the charges, and square the separation.

  16. Practice problem

    Force on a current segment →

    Intermediate · Apply a principle. Find its magnetic-force magnitude.

  17. Practice problem

    Freezing can supply the missing warming energy →

    Intermediate · Connect concepts. How much of the initial water freezes?

  18. Practice problem / FREE SAMPLE

    Frequency from a radio wavelength →

    Intermediate · Apply a principle. Frequency counts how many wavelengths pass a point each second.

  19. Practice problem

    Friction can point forward →

    Advanced · Connect concepts. What is the signed friction force, with rightward positive?

  20. Practice problem / FREE SAMPLE

    From a collision to a pendulum rise →

    Advanced · Connect concepts. Use horizontal momentum during impact, then convert the combined mass’s remaining kinetic energy into height.