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Suppose that the current density in a wi...

Suppose that the current density in a wire of radius a varius with r according to `Kr^2` where K is a constant and r is the distance from the axis of the wire. Find the magnetic field at a point at distance r form the axis when (a) r`lt`a and (b) r`gt`a.

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To solve the problem of finding the magnetic field at a distance \( r \) from the axis of a wire with a varying current density \( J = Kr^2 \), we will analyze two cases: (a) when \( r < a \) and (b) when \( r > a \). ### Step-by-Step Solution **Given:** - Current density \( J = Kr^2 \) - Radius of the wire \( a \) ...
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CENGAGE PHYSICS ENGLISH-SOURCES OF MAGNETIC FIELD-Concept Exercise 2.1
  1. Find magnetic field at C by the system of current carrying wire.

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  2. A conducting ring of radius r having charge q is rotating with angular...

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  3. Suppose that the current density in a wire of radius a varius with r a...

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  4. In Fig. Find the magnetic field at common centre.

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  5. The segment of wire shown in figure carries a current of i = 5.0 A whe...

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  6. A long, straight wire, carrying a current 200A, runs through a cubical...

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  7. The wire shown in Fig. carries current I in the direction shown. The w...

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  8. A circular loop of radius R carries current I2 in a clockwise directio...

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  9. For the arrangement shown in Fig. determine the magnetic field at cent...

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  10. Four long, parallel conductors carry equal currents of 5.0. The direct...

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  11. A long vertical wire carrying a current of 10A in the upward direction...

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  12. Figure shows a long wire bent at the middle to form a right angle. Sho...

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  13. In Fig. two long parallel wires (seen end-on) that are a distance R ap...

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  14. Figure shows a square loop of edge a made of a uniform wire. A current...

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  15. Let two long parallel wires, a distance d apart, carry equal currents ...

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  16. A long, circular pipe, with an outside radius R, carries a (uniformly ...

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  17. Shown in Fig. is an end-on view of three long, straight, parallel cond...

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  18. In Fig, find the magnetic field at point P.

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  19. Current I flows through a long conducting wire bent at right angle as ...

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  20. A wire is bent into the shape shown in fig and the magnetic field is m...

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