Answer the following questions using Ampere%u2019s Law and show your work 1. Fol

Question

Answer the following questions using Ampere%u2019s Law and show your work

1.     Following (4 points)

a.    0

b.    BIL

c.    %u2013BIL

d.    Not given

2.    The magnetic field 10 cm from a straight wire carrying a current of 8 A is                                (3 points)

3.    The magnetic field due to a current I in a long straight wire at a distance d is B. The magnetic field at 2d from this wire is                             (3 points)

4.    The magnetic field due to a current I in a long straight wire at a distance d is B. The magnetic field at this same distance when the current is doubled is                        (4 points)

5.    The magnetic field due to a current I in a long straight wire at a distance d is B. The magnetic field at 2d when the current is doubled                                (4 points)

Explanation / Answer

Biot-Savart Law - Magnetic field around a straight conductor carrying a current I.

B = %u03BC_0 I/2%u03C0r

where:
B is strength of magnetic field in T.
%u03BC_0 is permeability of free space = 1.25664 x 10^ -6 T-m/A.
I is current in A.
r is distance from conductor in m.

So B = %u03BC_0 I/2%u03C0r
B = (1.25664 x 10^ -6 T-m/A * 8A)/(2%u03C0 * 10x 10^ -2 T) = 0.1455*10^-5 Tesla

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