Physics · Electric current: drift velocity, mobility and their relation with electric current

In instantaneous current in a metallic wire is \mathrm{A} \) then find amount of

In instantaneous current in a metallic wire is \( \mathrm{i}=(5+10 \mathrm{t}) \mathrm{A} \) then find amount of charge flown through it from \( t=2 s \) to \( t=3 s \) is

  • A. 100
  • B. 24C
  • C. \( 30 c \)
  • D. 40C

Step-by-step solution

Charge is the integral of current over time: Q = ∫_{2}^{3} (5+10t) dt = [5t + 5t^2]_{2}^{3} = (15+45) - (10+20) = 60 - 30 = 30 C.
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