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Same current i is flowing in three infin...

Same current i is flowing in three infinitely long wires along positive x,y and z directions. The magnetic field at a point would be

A

`(mu_0i)/(2pia)(hatj-hati)`

B

`(mu_0i)/(2pia)(hatj+hati)`

C

`(mu_0i)/(2pia)(hati-hatj)`

D

`(mu_0i)/(2pia)(hati+hatj+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A

(a) Point `(0,0,-a)` lies on z-axis, therefore magnetic field due
to current along z-axis is zero and due to rest two wires is
`(mu_0)/(2pi) 1/a` in mutually perpendicular directions along positive
y direction and negative x direction.
`:. vecB=(mu_0)/(2pi) i/a (hatj-hati)`
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CENGAGE PHYSICS ENGLISH-SOURCES OF MAGNETIC FIELD-Exercise (single Correct )
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  3. Same current i is flowing in three infinitely long wires along positiv...

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  5. two infinite wires, carrying currents i1 and i2., are lying along x-an...

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  6. A long cylinder of wire of radius 'a' carries a current i distributed ...

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  7. Two infinite long wires, each carrying current I, are lying along x- a...

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  8. In figure, infinite conducting ring each having current i in the ...

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  9. A very long straight conducting wire, lying along the z-axis, carries ...

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  10. A long wire bent as shown in fig. carries current I. If the radius of ...

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  11. A long wire carrying a current i is bent to form a plane angle alpha. ...

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  12. Two positive charges q1 and q2 are moving with velocities v1 and v2 wh...

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  13. Consider six wires coming into or out of the page, all with the same c...

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  14. A positively charged disk is rotated clockwise as shown in Fig. The di...

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  15. Figure. Shows two long wires carrying equal currents I1 and I2 flowing...

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  16. Current flows through uniform, square frames as shown in the figure. I...

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

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  18. An infinitely long wire carrying current I is along Y-axis such taht i...

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  19. A steady current is set up in a cubic network composed of wires of equ...

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  20. A point charege is moving in a circle with constant speed . Consider ...

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