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Electric Current Through Conductors — Class 11 Maharashtra HSC Physics revision notes

A 6-page visual revision sheet for Electric Current Through Conductors, written for Class 11 Maharashtra HSC Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.

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Electric Current Through Conductors in one look

drift speed, Ohm's law, resistors, resistivity, emf and Kirchhoff's rules

Current and drift speed

  • current I = q/t for steady flow, or I = lim_Δ tto0Δ q/Δ t, unit ampere
  • conventional current runs the way positive charge would move, opposite to electron flow in a metal
  • no field: free electrons move randomly at sim10^6 m s^-1, no net drift
  • field applied: electrons drift opposite E at only 10^-4 to 10^-5 m s^-1, ten orders slower

Current, drift speed and current density

  • charge in a length L, n electrons per unit volume q = nALe
  • current in terms of drift speed I = nAv_de
  • current density J = I/A = nev_d

Q. A wire of diameter 0.02 m has 10^28 free electrons per m^3 and carries 100 A. Find the drift speed.

  1. A = π r^2 = π(0.01)^2 = 3.14×10^-4 m^2
  2. v_d = I/nAe = 100/10^28×3.14×10^-4×1.6×10^-19
  3. denominator = 10^28×3.14×10^-4×1.6×10^-19 ≈ 5.02×10^5

Answer: v_d ≈ 1.99×10^-4 m s^-1

Ohm's law

  • statement, physical state unchanged I ∝ V
  • resistance V = IR, R = V/I
  • conductance C = 1/R

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