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The magnetic field at centre O of the ar...

The magnetic field at centre O of the arc in Fig.

A

`(mu_0I)/(4pixxr)[sqrt2+pi]`

B

`(muI)/(2pir)[pi/4+(sqrt2-1)]`

C

`(mu_0)/(4pi)xxI/r[(sqrt2-pi)]`

D

`(muI)/(4pi)xxI/r[sqrt2+pi/4]`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) Magnetic field due to straight wires

`B_(circular)=1/4 (mu_0I)/(2r)=(mu_0I)/(8r)`
`B_(straight)=2(mu_0I)/(4pi(rcos45^@))[sin90^@-sin45^@]`
`=(sqrt2mu_0I)/(2pir)[1-1/sqrt2]`
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CENGAGE PHYSICS-SOURCES OF MAGNETIC FIELD-Exercise (single Correct )
  1. Five very long, straight insulated wires are closely bound together to...

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  2. The magnetic induction at centre O Fig.

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  3. The magnetic field at centre O of the arc in Fig.

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  4. Three long, straight and parallel wires are arranged as shown in Fig. ...

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  5. Two long thin wires ABC and DEF are arranged as shown in Fig. They car...

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  6. The magnetic field at O due to current in the infinite wire forming a ...

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  7. A current I flows through a thin wire shaped as regular polygon of n s...

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  8. A wire is bent in the form of a circular arc with a straight portion A...

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  9. The field due to a wire of n turns and radius r which carries a curren...

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  10. Two identical wires A and B have the same length l and carry the same ...

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  11. Four infinite thin current carrying sheets are placed in Y-Z plane. Th...

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  12. A steady current is flowing in a circular coil of radius R, made up o...

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  13. The magnetic field at the centre of the circular loop as shown in Fig....

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  14. Two parallel wire carrying equal currents in opposite directions are p...

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  15. Figure shows three cases: in all case the circular part has radius r a...

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  16. An otherwise infinite, straight wire has two concentric loops of radii...

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  17. Current I1 and I2 flow in the wires shown in Fig. The field is zero at...

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  18. For c=2a if, the magnetic field at point P will be zero when

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  19. An infinetely long conductor PQR is bent tor form a right angle as sho...

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  20. Two concentric coils each of radius equal to 2 pi cm are placed at rig...

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