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  • Can someone help me with this, current density through a cylindrical wire of radius R varies as j=kr, where k is a constant and r is its distance from the axis of cylinder. Then total current passing through the wire is

current density through a cylindrical wire of radius R varies as j=kr, where k is a constant and r is its distance from the axis of cylinder. Then total current passing through the wire is

  • Option 1)

    ∏R2k                            

  • Option 2)

    ∏R3k

  • Option 3)

    2∏R3k/3

  • Option 4)

    ∏R2k/3

 

Answers (1)

As we learnt

 

If current density is not uniform -

 

I=\int \vec{J}\cdot d\vec{A}

- wherein

The direction for J is usually in the direction of E-field.

 

 

 

I = ∫ j.dA = ∫kr.2∏r dr = 2∏k∫r2 dr = 2∏R3k/3


Option 1)

∏R2k                            

Option 2)

∏R3k

Option 3)

2∏R3k/3

Option 4)

∏R2k/3

Posted by

Vakul

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