5. How can you arrange five resistances to form a circuit with resistance smaller than any given resistance?

To arrange five resistances in a way that the total resistance is smaller than any given individual resistance, you should arrange them in parallel. Here’s how:

  • Parallel connection: When resistors are connected in parallel, the total or equivalent resistance decreases. The formula for the total resistance Req of resistors connected in parallel is given by:

1/Req=1/R1+1/R2+1/R3+⋯+1/Rn

In this we have five resistors, so the equation becomes:

1/Req=1/R1+1/R2+1/R3+1/R4+1/R5

This results in an equivalent resistance Req that is smaller than the smallest individual resistance in the group, as long as none of the resistances are infinite. So, by connecting the five resistors in parallel, the total resistance will always be smaller than the smallest resistor in the group.

Related Questions:

  1. Can current flow through a circuit without potential difference? Explain.
  2. Can current flow through a circuit without potential difference? Explain.
  3. If aluminum and copper wires of the same length have the same resistance, which has the larger diameter? Why?
  4. What is the resistance across an open switch and a closed switch of a circuit?
  5. Why is a bird sitting on a high-voltage transmission line not electrocuted? Why does it get electrocuted when it touches another wire?
  6. Physics 10 MCQ
  7. Simple harmonic motion and waves
  8. Simple harmonic motion and waves-NFE
  9. Give an example of vibratory motion which is not simple harmonic motion. Give a reason for your selection.
  10. At the extreme position, velocity is zero but acceleration is maximum in simple harmonic motion. How can you theoretically explain it?
  11. What will happen to the acceleration of a mass-spring system if its mass is doubled?
  12. A simple pendulum has a time period “T”. What will happen to its time period if its thread length is shortened to half?
  13. A simple pendulum has a time period of 4 seconds. Will its time period remain the same or change if its steel bob is replaced by a wooden bob of the same size?
  14. Same masses are attached to different springs, one is vibrating faster. Why?
  15. A simple pendulum has a time period “T” in Murree. In Karachi, it has a different time period. What would you do to make its time period the same as it was in Murree?
  16. What will happen to the frequency of waves in a ripple tank if the time period of the electrical vibrator is decreased? What will happen to the wave speed?
  17. Why do water waves refract at the boundary of shallow water and deep water in a ripple tank experiment?
  18. Under what conditions are waves diffracted the most?
  19. What do you mean by oscillation? Define simple harmonic motion. What are the conditions for a body to perform SHM? Give examples of bodies that perform SHM.
  20. Show that a vibrating mass-spring system performs simple harmonic motion. What is its time period? On what factors does it depend?