A current flows through a cylindrical conductor of radius R. The current density at a…

Physics · Class 12 · CBSECurrent Electricity

A current flows through a cylindrical conductor of radius R. The current density at a point in the conductor is \({j}=\alpha {r}\) (along its axis), here \(\alpha\) is a constant and r is distance from the axis of the conductor. The current flowing through the portion of the conductor from \(r=0\) to \(r=\frac{R}{2}\) is proportional to:

  1. R
  2. \({R}^{2}\)
  3. \({R}^{3}\)
  4. \({R}^{4}\)

Answer

(D) R ^ 4

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