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Using the formulae ((vecF)=(vec qv)xx (v...

Using the formulae (`(vecF)=(vec qv)xx (vec B) and (B= (mu_0)i/2pi r )`, show that the SI units of the magnetic field B and the permeability constant (mu_0) may be written as (N mA ^-1) and (NA^-2) respectively.

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Given `vecF = a vecv xx vecB`
`.That gives `B = (F)/(qu)+(F)/(Itu) =N/A - m`
`. Again, `B = (mu_0i)/(2pir)`
` `mu_0 = B. (2pir)/(i) = (N)/(A-m). (m)/(A)`
` `= N/A^2`
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HC VERMA-MAGNETIC FIELD DUE TO CURRENT-Exercises
  1. Using the formulae ((vecF)=(vec qv)xx (vec B) and (B= (mu0)i/2pi r ), ...

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  2. A current of 10A is established in a long wire along the positive z-ax...

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  3. A copper wire of diameter 1.6 mm carries a current of 20A. Find the ma...

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  4. A transmission wire carries a current of 100A. What would be the magne...

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  5. A long, straight wire carrying a current of 1.0 A is placed horizontal...

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  6. A long, straight wire of radius r carries a current i and is placed ho...

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  7. A long, straight wire carrying a current of 30 A is placed in an exter...

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

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  9. Figure shows two parallel wires separated by a distance of 4.0 cm and ...

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  10. Two parallel wires carry equal currents of 10A along the same directio...

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  11. Two long, straight wires, each carrying a current of 5A, are placed al...

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  12. Four long, straight wires, each carrying a current of 5.0 A, are place...

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

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  14. Consider a straight piece of length x of a wire carrying a current i. ...

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  15. Consider a 10-cm long piece of a wire which carries a current of 10A ....

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  16. A long, straight wire carries a current i. Let B1 be the magnetic fiel...

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  17. Figure shows a square loop ABCD with edge length a. The resistance of ...

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

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  19. Consider the situation described in the previous problem. Suppose the ...

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  20. The wire ABC shown in figure forms an equilateral triangle. Find the m...

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