Biot-Savart Law (Calculus) Video Lessons

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Problem: Magnetic Field near a Moving ChargeA particle with positive charge q is moving with speed v along the z axis toward positive z. At the time of this problem it is located at the origin, x=y=z=0. Your task is to find the magnetic field at various locations in the three-dimensional space around the moving charge. (Figure 1)The field found in this problem for a moving charge is the same as the field from a current element of length dl carrying current i provided that the quantity qv is replaced by which quantity?

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Biot-Savart law:

B=μ04πv×r^r2dq=μ04πqv×r^r2

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Problem Details

Magnetic Field near a Moving Charge

A particle with positive charge q is moving with speed along the z axis toward positive z. At the time of this problem it is located at the origin, x=y=z=0. Your task is to find the magnetic field at various locations in the three-dimensional space around the moving charge. (Figure 1)

The field found in this problem for a moving charge is the same as the field from a current element of length dl carrying current i provided that the quantity qv is replaced by which quantity?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Biot-Savart Law (Calculus) concept. You can view video lessons to learn Biot-Savart Law (Calculus). Or if you need more Biot-Savart Law (Calculus) practice, you can also practice Biot-Savart Law (Calculus) practice problems.

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Based on our data, we think this problem is relevant for Professor Zheng's class at NMSU.