Numerical application of current = charge / time If 40 coulombs of charge pass a point in 20 seconds, what is the current flowing at that instant?

Difficulty: Easy

Correct Answer: 2 A

Explanation:


Introduction / Context:
Current measures the rate at which electric charge flows. Simple problems using I = Q / t reinforce dimensional thinking and the relationship between charge (coulombs), time (seconds), and current (amperes).


Given Data / Assumptions:

  • Total charge passed, Q = 40 C.
  • Time interval, t = 20 s.
  • Assume steady average over the interval.


Concept / Approach:
Use the fundamental definition of average current: I = Q / t. Ensure units are SI to avoid conversion errors. A coulomb per second equals one ampere by definition.


Step-by-Step Solution:

Write the formula: I = Q / t.Substitute values: I = 40 C / 20 s.Compute the quotient: I = 2 C/s.Recognize C/s = A → I = 2 A.


Verification / Alternative check:
Dimensional check: coulomb per second is ampere, so the units are consistent. Sanity check: halving time at fixed charge doubles current, which matches the numbers here (40/20).


Why Other Options Are Wrong:

  • 0.5 A: would correspond to 10 C in 20 s, not 40 C.
  • 20 A or 40 A: orders of magnitude too high; would require 400 C or 800 C in 20 s.


Common Pitfalls:
Confusing Q/t with t/Q, or mixing milliseconds and seconds. Always keep SI units unless stated otherwise.


Final Answer:
2 A

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