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Use the Biot-Savart law to ﬁ nd the magnetic ﬁ eld in the frame of an electron circling a nucleus of charge Ze. If the velocity of the electron around the nucleus is v^→ and the position vector of the proton with respect to the electron is r^→, show that the magnetic ﬁ eld at the electron is

Ze
2.3
4T€, mc²r³
where m is the electron mass and L is the angular
momentum, L = m² × đ.

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