The magnetic field 0.02 m from a wire is 0.1 T. What is the magnitude of the magnetic field 0.01 m from the same wire?
B=k I/r
so if you reduce r by a factor of 1/10, B is now x10, or 1 Tesla
that's not one of the choices
Here are the choices:
0.01 T
0.05 T
0.1 T
0.2 T
oops, you should have caught my error. You reduced distance by 1/2, so B is twice or .2T
Its B Duhhhhh easy
To determine the magnitude of the magnetic field at a different distance from the wire, we can use the principle of inverse square law. According to this law, the magnetic field strength (B) is inversely proportional to the square of the distance (r) from the current-carrying wire.
To find the magnitude of the magnetic field at 0.01 m from the wire, we can set up a proportion using the inverse square law. Let's denote the magnitude of the magnetic field at 0.01 m as B1 and the magnitude of the magnetic field at 0.02 m as B2.
The proportion can be written as:
(B1) / (B2) = (r2^2) / (r1^2)
Substituting the given values:
(B1) / (0.1 T) = (0.01 m)^2 / (0.02 m)^2
Solving for B1, we can rearrange the equation as:
B1 = B2 * (r1^2 / r2^2)
Now, we can substitute the known values:
B1 = 0.1 T * (0.01 m)^2 / (0.02 m)^2
Simplifying the equation:
B1 = 0.1 T * 0.0001 m^2 / 0.0004 m^2
B1 = 0.1 T * 0.25
B1 = 0.025 T
Therefore, the magnitude of the magnetic field at 0.01 m from the same wire is 0.025 T.