If Q = net charge, t = time, then which of the following equations is correct?

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SSC CGL 2022 Tier-I Official Paper (Held On : 08 Dec 2022 Shift 2)
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  1. t = Q × I
  2. I = \(Q \over t\)
  3. Q = \(I \over t\)
  4. I = Q × t

Answer (Detailed Solution Below)

Option 2 : I = \(Q \over t\)
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Detailed Solution

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The correct answer is I =\(Q \over t\)

Key Points

  • Current, charge and time
    • How much electric charge is transferred each second defines electrical current, giving the following relationship:
      Current= charge/ time
      Rearranging this we get,
      charge= current * time
    • The symbol for charge is Q, it is measured in coulombs (C).
    • The symbol for current is I, it is measured in amperes (A).
    • The symbol for time is t, it is measured in seconds (t).
    • This gives the relation:
      Q= I* t

Additional Information

  • Current
    • A stream of charged particles, like electrons or ions, moving through an electrical conductor or space is called an electric current.
    • The net rate of electric charge flow through a surface or into a control volume is how it is measured.
    • Depending on the conductor, the moving particles are referred to as charge carriers, which can be any one of a number of different types of particles.
  • Charge
    • A charge in physics can be any of a number of different quantities, such as the color charge in quantum chromodynamics or the electric charge in electromagnetism.
    • The time-invariant generators of a symmetry group, and more specifically, the generators that commute with the Hamiltonian, are represented by charges.
    • The charge invariance corresponds to the vanishing commutator [Q,H]=0, where H is the Hamiltonian because charges are frequently denoted by the letter Q.
    • As a result, charges and conserved quantum numbers are linked; these are the eigenvalues q of the generator Q.
  • Time
    • From the past through the present and into the future, time is the ongoing sequence of existence and events that appears to be irreversible.
    • It is a component quantity of various measurements used to order events, compare their durations or intervals, and quantify rates of change of quantities in material reality or conscious experience.
    • Along with the three spatial dimensions, time is frequently referred to as a fourth dimension.
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