For a cylindrical conductor of radius R and cross-sectional area A = πR², answer the following two current-density questions.

Physics · Current electricity · Electric Current, Drift Velocity & Resistance

JEE Advanced

For a cylindrical conductor of radius R and cross-sectional area A = πR², answer the following two current-density questions.

Sub-question 1

The current density varies as J = J₀(1 - r/R). The total current is:

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Sub-question 2

If instead J = J₀r/R, the total current is:

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