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Find resultant magnetic field at C in Fi...

Find resultant magnetic field at C in Fig

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It is clear that 'B' at 'C' due to all the wires is directed `ox`. Also
B at 'C' due PQ and SR is same.
Also the magnetic field due to QR and PS is same
`:. B_(res)=2(B_(PQ)+B_(SP))`
`B_(PQ)=(mu_0i)/(4pia/2)(sin60^@+sin60^@)=(sqrt3mu_0i)/(2pia)`
`B_(SP)=(mu_oi)/(4pi(sqrt3a)/2)(sin30^@+sin30^@)=(mu_0i)/(2pisqrt3a)`
`B_(res)=2((sqrt3mu_0i)/(2pia)+(mu_0i)/(2pia))=(4mu_0i)/(sqrt3pia)`
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CENGAGE PHYSICS ENGLISH-SOURCES OF MAGNETIC FIELD-Concept Exercise 2.1
  1. (a). Find the magnetic field B at point O (centre) of (i). ABCD, whi...

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  2. Calculate the magnetic field at point O in each of the following cases...

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  3. Find resultant magnetic field at C in Fig

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  4. Figure shows a square loop made from a uniform wire. Find the magnet...

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  5. In Fig. There are two parallel long wires (placed in the plane of pape...

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  6. In Fig. a larger metal sheet of width w carries a current I(uniformly ...

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  7. Find magnetic field at point P shown in Fig. point P is on the bisecto...

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  8. Find magnetic field at C by the system of current carrying wire.

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

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

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

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

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

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

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

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

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

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

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

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

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