# The Magnetic Force Between Two Parallel Conductors

## The Magnetic Force Between Two Parallel Conductors

Monticello, Mike, Feature Editor has reference to this Academic Journal, PHwiki organized this Journal The Magnetic Force Between Two Parallel Conductors AP Physics C Montwood High School R. Casao When a current-carrying conductor is placed in an external magnetic field B, the magnetic as long as ce on the conductor is given by: F = I·(L x B). Consider two parallel wires of equal length carrying a steady current: The two wires will exert magnetic as long as ces on each other. Wire 1 will exert a magnetic as long as ce on wire 2; wire 2 will exert a magnetic as long as ce on wire 1.

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The wires are separated by distance a in addition to carry currents I1 in addition to I2 in the same direction. Wire 2, carrying current I2, sets up a magnetic field B2 at the position of wire 1. – The direction of the magnetic field B2 is perpendicular to the wire. – F1 = F2 on 1 = I1·(L x B2) – Angle q between L in addition to B2 is 90. F1 = F2 on 1 = I1·(L x B2) = I1·L·B2·sin q F1 = F2 on 1 = I1·L·B2 Biot-Savart law as long as the magnetic field B2: Substituting: Rewriting in terms of the as long as ce per unit length: The direction of F1 is downward in addition to is determined using the right h in addition to rule (fingers of right h in addition to in direction of current I; palm facing in the direction of B; thumb points down in the direction of F1) The magnetic as long as ce that wire 1 exerts on wire 2 (F1 on 2) is equal in magnitude to in addition to opposite in direction to F1 (F2 on 1).

Wire 1 in addition to wire 2 will attract each other. When the currents are in opposite directions, the magnetic as long as ces again equal in magnitude but are opposite in direction in addition to the wires repel each other. Conclusions: parallel conductors carrying currents in the same direction attract each other; parallel conductors carrying currents in opposite directions repel each other. Force between two parallel current-carrying straight wires Parallel wires with current flowing in the same direction, attract each other. Parallel wires with current flowing in the opposite direction, repel each other. The as long as ce between two parallel wires each carrying a current is used to define the ampere (A): If two long, parallel wires 1 m apart carry the same current I in addition to the as long as ce per unit length on each wire is 2 x 10-7 N/m, then the current is defined to be 1 A. If I1 = I2 = 1 A in addition to a = 1 m, the numerical value of 2 x 10-7 N/m is obtained from:

The unit of charge, the coulomb, can be defined in terms of the ampere: If a conductor carries a steady current of 1 A, then the quantity of charge that flows through a cross-section of the conductor in 1 s is 1 C.

## Monticello, Mike Feature Editor

Monticello, Mike is from United States and they belong to Road & Track and they are from  Newport Beach, United States got related to this Particular Journal. and Monticello, Mike deal with the subjects like Automotive Industry

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