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A uniform magnetic field B=(3hati+4hatj+...

A uniform magnetic field `B=(3hati+4hatj+hatK)` exists in region of space. A semiconductor wire of radius 1 m carrying current 1A having its centre at (2,2,0) is placed in x-y plane as shown in figure. The force on semicircular wire will be

A

`sqrt2(hati+hatj+hatk)`

B

`sqrt2(hati-hatj+hatk)`

C

`sqrt2(hati+hatj-hatk)`

D

`sqrt2(-hati+hatj+hatk)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vecB=3hati+4hatj+hatk`
`vecI=2/sqrt2(hati+hatj)`
`vecF=I(vecIxxvecB)`
`=sqrt2[(hati+hatj)xx(3hati+4hatj+hatk)]=sqrt2(hati-hatj+hatk)`
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RESONANCE ENGLISH-ELECTRODYNAMICS-Exercise-1 PART-2
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  2. A rectanguar doop carrying a current I is situated near a long straigh...

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  3. A uniform magnetic field B=(3hati+4hatj+hatK) exists in region of spac...

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  4. Twio thin long parallel wires seprated byb a distance b are carryin...

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  5. In the figure shown a current I(1) is established in the long straight...

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  6. A steady current i flows in a small square lopp of wire of side L in a...

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  7. A point charge q is situated at a distance r from one end of a thin co...

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  8. A magnet of magnetic moment 2J/T is alined in the direaction of magnet...

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  9. A circular loop of area 1cm^2 , carrying a current of 10 A , is placed...

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  10. A power line lies along the east-west direction and carries a current ...

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  11. A circuit coil of radius 20 cm and 20 turns of wire is mounted vertica...

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  12. Which materials have negative value of magnetic susceptibility?

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  13. The energy density in magnetic field B is proportional to

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  14. According to Curie's law, the magnetic susceptibility of a substance a...

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  15. A paramagnetic material is placed in a magnetic field. Consider the fo...

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  16. Which of the following relations is not correct?

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  17. The hysteresis cylcle for the material of a permanent magnet is

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  18. When a ferromagnetic material goes through a hysteresis loop, the magn...

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  19. The materials suitable for making electromagnets should have

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  20. Graphite is a good conductor of electricity because it contains

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