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A long straight solid metal rod of radiu...

A long straight solid metal rod of radius `4cm` carries a current `2A`, uniformly distributed over its circular cross-section. Find the magnetic field induction at a distance `3cm` from the axis of the wire.

Text Solution

AI Generated Solution

To find the magnetic field induction at a distance of 3 cm from the axis of a long straight solid metal rod carrying a current of 2 A, we can follow these steps: ### Step 1: Understand the Problem We have a long straight metal rod with a radius of 4 cm carrying a uniformly distributed current of 2 A. We need to find the magnetic field at a point that is 3 cm away from the axis of the rod. ### Step 2: Identify the Relevant Formula For a long straight conductor, the magnetic field \( B \) at a distance \( r \) from the center of the conductor can be calculated using Ampere's Law. The relevant formula for the magnetic field inside a uniformly charged cylindrical conductor is given by: \[ ...
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Knowledge Check

  • A cylindrical long wire of radius R carries a current I uniformly distributed over the cross sectionasl area of the wire. The magnetic field at a distasnce x from the surface inside the wire is

    A
    `(mu_0I)/(2pi(R-x)`
    B
    `(mu_0I)/(2pix)`
    C
    `(mu_0I)/(2pi(R+x))`
    D
    none of these

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