A particle with positive charge q is moving with speed v along the z axis toward

Question

A particle with positive charge q is moving with speed valong 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)

Find the magnetic field at the point r? 1=x1i^.

Express your answer in terms of ?0, q, v, and x1, and use i^, j^, and k^ for the three unit vectors.

A particle with positive charge q is moving with speed valong 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) Find the magnetic field at the point r? 1=x1i^. Express your answer in terms of ?0, q, v, and x1, and use i^, j^, and k^ for the three unit vectors.

Explanation / Answer

here

the magnetic field of moving charge with speed V

then ,

V = Vk   , r = x1 i

B = u0/4*pie ( q*v * r / r^2)

B = u0 /4 * pie * q ( Vk * x1 i / x1^2)

B = u0/4*pie * q * Vj / x1

so the magnetic field in j direction

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