L28_a - MAGNETIC FIELD AROUND CURRENT-CARRYING WIRES How...

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Unformatted text preview: MAGNETIC FIELD AROUND CURRENT-CARRYING WIRES How will we tackle this? Plan: 1 st : Will look at contribution B d r to the total magnetic field at some point in space due to the current in a small segment s d r of wire Biot-Savart Law 2 nd : Will use Biot-Savart Law to find B r along the axis of a current loop. 3 rd : Will use Biot-Savart Law to get result for field around a long wire a I B 2 = dir. by RH-rule, m/A T 10 4 7 = 4 th : Will look at force between parallel current-carrying wires 5 th : Amperes Law: another way to get a I B 2 = for field around long wire s dB I I I B BIOT-SAVART LAW (22.7) Expression for contribution B d r to magnetic field at P due to current I in small segment s d r of wire r is UNIT VECTOR pointing s d r P r is DISTANCE from s d r P is the ANGLE between s d r and r Then contribution to B r at P from s d r is 2 4 r r s d I B d = r r m/A T 10 4 7 = is the permittivity of free space Direction of B d r is from r s d r (can also use RH-rule with thumb current) I ds r P r BIOT-SAVART LAW: understanding 2 4 r r s d I B d = r r For drawing, direction of r s d...
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This note was uploaded on 03/08/2012 for the course PHYSICS 1051 taught by Professor Michaelmorrow during the Winter '12 term at Memorial University.

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L28_a - MAGNETIC FIELD AROUND CURRENT-CARRYING WIRES How...

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