My answer is different by 5 or so orders of magnitude.ineedhelp5454 said:i keep getting 3.19e4 A
Is the magnitude of B 1.5 x 10-6 or 1.4 x 10-6 T?ineedhelp5454 said:1.5e-6 * 2 * pi * .03 = 2.87e-7 (left half of ampere's equation)
You're using the vacuum permittivity constant ε0 = 8.854 x 10-12 F/m, but you need to use the vacuum permeability constant μ0= 4π x 10-7 H/m.2.87e-7 = 8.85e-12(mu) * I (right half)
I = 3.19e4
Ampere's law is a fundamental law in electromagnetism that relates the magnetic field around a closed loop to the electric current passing through that loop. It states that the integral of the magnetic field around a closed loop is equal to the current passing through the loop multiplied by the permeability of free space.
Ampere's law is used in many practical applications, such as in the design of electric motors and generators, electromagnetic sensors, and in the development of new technologies such as magnetic levitation trains. It is also used in the analysis and design of electrical circuits and in the study of Earth's magnetic field.
Ampere's law states that the magnetic field around a closed loop is directly proportional to the current passing through that loop. This means that increasing the current will result in a stronger magnetic field, while decreasing the current will result in a weaker magnetic field.
Ampere's law can be applied to any type of steady current, including direct current (DC) and alternating current (AC). However, it does not hold true for transient currents, which are currents that change over time.
Ampere's law and Gauss's law are both fundamental laws in electromagnetism. While Ampere's law relates the magnetic field to the current, Gauss's law relates the electric field to the electric charge. Together, these laws form the basis for understanding the relationship between electricity and magnetism.