The correct relation between charge(Q) following through a conductor, time(t) for which the charge follows and the current (I) following through the conductor is:

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RRB Technician Grade III Official Paper (Held On: 30 Dec, 2024 Shift 2)
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  1. \(\rm I=\frac{Q}{t}\)
  2. I = Q2t
  3. I = Q t2
  4. I = Qt

Answer (Detailed Solution Below)

Option 1 : \(\rm I=\frac{Q}{t}\)
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Detailed Solution

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The Correct answer is I = Q/t.

Key Points

  • The relation I = Q/t is derived from the definition of electric current.
  • Electric current is defined as the rate of flow of electric charge through a conductor.
  • Here, I represents the current, Q is the total electric charge, and t is the time taken for the charge to flow.
  • The formula indicates that the current is directly proportional to the amount of charge and inversely proportional to the time.
  • The SI unit of current is the ampere (A), charge is measured in coulombs (C), and time in seconds (s).
  • This fundamental equation is widely used in various applications of electricity and electronics.
  • For example, it helps in calculating the current flowing through a circuit if the charge and time are known.
  • The concept is crucial for understanding topics related to Ohm's law, circuits, and power calculations in electrical engineering.
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