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The wire shown in Fig. carries current I...

The wire shown in Fig. carries current I in the direction shown. The wire consists of a very long, straight section, a quarter- circle with radius R, and another long, straight section. What are magnitude and direction of net magnetic field at the center of curvature of quarter-circle section (point P)?

Text Solution

Verified by Experts

The contributions from the straight segments is zero since
`dveclxxvecr=0`
The magnetic field from the curved wire is just one quarter of a
full loop:
`B=1/4((mu_0I)/(2R))`,
and is out of the page.
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CENGAGE PHYSICS ENGLISH-SOURCES OF MAGNETIC FIELD-Concept Exercise 2.1
  1. The segment of wire shown in figure carries a current of i = 5.0 A whe...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Charge is sprayed onto a large non-conducting belt above the left-hand...

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  18. An infinitely long, noc-conducting cylidner of radius R lies along the...

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  19. In Fig, find the magnetic field at point P. The loop is lying in x-y p...

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  20. Two long, straight wires, one above the other, are separated by a dist...

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