What current is needed to generate the magnetic field strength of 5.0 X 10^-5 T

Question

What current is needed to generate the magnetic field strength of 5.0 X 10^-5 T at a point 2.1 cm from a long, straight wire? Express your answer to two significant figures and include the appropriate units. What current is needed to generate the magnetic field strength of 5.0 X 10^-3 T at a point 2.1 cm from a long, straight wire? Express your answer to two significant figures and include the appropriate units. What current is needed to generate the magnetic field strength of 1.0 T at a point 2 1 cm from a long, straight wire? Express your answer to two significant figures and include the appropriate units. What current is needed to generate the magnetic field strength of 10 T at a point 2.1 cm from a long, straight wire? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

magnetic field is given by

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

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

A)

I = 5*10^(-5)*(2*pi*2.1*10^(-2))/(4*pi*10^(-7)) = 5.25 amp

B)

I = 5*10^(-3)*(2*pi*2.1*10^(-2))/(4*pi*10^(-7)) = 525 amp

C)

I = 1*(2*pi*2.1*10^(-2))/(4*pi*10^(-7)) = 105000 amp

D)

I = 10*(2*pi*2.1*10^(-2))/(4*pi*10^(-7)) = 1050000 amp

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