At what distance from a very thin, straight wire carrying a 14 A current would t

Question

At what distance from a very thin, straight wire carrying a 14 A current would the magnetic field strength of 5.0×105T be generated?At what distance from a very thin, straight wire carrying a 14 A current would the magnetic field strength of 5.0×103T be generated? At what distance from a very thin, straight wire carrying a 14 A current would the magnetic field strength of 1T be generated?At what distance from a very thin, straight wire carrying a 14 A current would the magnetic field strength of 10T be generated?

Explanation / Answer

Here ,

current , I = 14 A

magnetic field , B = 5 *10^-5 T

let the distance is d1

B = u0 * I/(2pi * d1)

5 *10^-5 = 4pi *10^-7 * 14/(2pi * d1)

d1 = 0.351 m

the distance from the wire is 0.351 m

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for B = 5 *10^-3 T

B = u0 * I/(2pi * d2)

5 *10^-3 = 4pi *10^-7 * 14/(2pi * d2)

d1 = 3.52 *10^-3 m

the distance from the wire is 3.52 *10^-3 m

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for B = 1 T

B = u0 * I/(2pi * d3)

1 = 4pi *10^-7 * 14/(2pi * d3)

d1 = 1.76 *10^-5 m

the distance from the wire is 1.76 *10^-5 m

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for magnetic field , B = 10 T

B = u0 * I/(2pi * d4)

10 = 4pi *10^-7 * 14/(2pi * d4)

d1 = 1.76 *10^-6 m

the distance from the wire is 1.76 *10^-6 m

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