PHY132_L14 - Classical Physics II Classical Physics II...

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lassical Physics II Classical Physics II PHY132 Lecture 14 Magnetism II: Magnetic torque Lecture 14 1 03/03/2010
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B Force on a Moving Charge Force on a Moving Charge We’ve seen that the magnetic field B –is generatedby currents (i.e. vectors), e.g. wire: –and l ikew ise interactswith currents and 0 2 r Ir B moving charges (i.e. vectors). Thus we expect the magnetic FORCE vector F B exerted on a moving charge to depend on TWO vectors: B and q v VECTOR PRODUCT: F B = q v × B (Lorentz Force) orce erpendicular both nd – Force F B is perpendicular to both B and v ! In a wire carrying a current I = dq/dt , charge dq in the wire travels a short distance d l in time dt : dq v dq = dq d l /dt = I d l – Thus, the contribution to the total force from a short piece d l of a current-carrying wire is: d F B = dq v dq × B = Id l × B (Lorentz Force) Lecture 14 2 – for a straight wire of length l in a uniform B field: F B = I l × B 03/03/2010
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A Bubble Chamber Picture… ractical tool to discover and measure properties of Practical tool to discover and measure properties of elementary particles: use of magnetic forces on a fast- moving particles, as protons or pions: π π p K 0 Λ 0 K 0 →π π , Λ 0 p π B π + π p K 0 Λ 0 Lecture 14 4 16 cm π 16 cm 03/03/2010
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Force on a Current Loop n s id iid tnu l i l p i n u n t in n Consider a rigid rectangular wire loop, carrying a current I , in an
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PHY132_L14 - Classical Physics II Classical Physics II...

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