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Problem Involving Force Between Current Elements

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Coordinates below are in meters. I believe w = weber.

Calculate the force on each of two current elements, both 1cm long and carrying 10A, if one is at the origin and directed along the x-axis while the other is at x=0.1,y=0.1,z=0.1, in the y-direction. (Answer is 0.192x10^-7 N in the -y and +x directions.)

Find dB, due to the current element at the origin, at x=0.1, y=0.1, z=0.1, in the y-direction. (Answer is 2.7x10^-7 w/m^2 at 45 degrees with the -y and +z directions.)

Find B at x=0.1, y=0.1,z=0.1, in the y-direction, if there is a current of 10A along the x-axis. (Answer is 1.41x10^-5 w/m^2 at 45 degrees with the -y and +z directions.)

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Solution Summary

We used the Biot-Savart law to compute the force acting between two given current elements.

Solution Preview

All units used in this problem set are MKSA units.

1. To find the force on the current elements, we first use the Biot-Savart law to compute the magnetic field at the ...

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