Magnetic field produced by two parallel current-carrying wires – problems and solutions

1. Two long parallel wires carrying the same currents, 3-A. If the distance between both wires is 40 cm, determine the magnetic field at point P. μo = 4π x 10−7 Wb A−1 m−1.

Known :Magnetic field produced by two parallel current-carrying wires - problems and solutions 1

Electric current (I) = 3-A

Distance between wire 1 and 2 (r12) = 40 cm = 0.4 m

Distance between wire 1 and P (r1P) = 30 cm = 0.3 m

Distance between wire 2 and P (r2P) = 40 – 30 = 10 cm = 0.1 m

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Magnetic field at the center of an arc of current – problems and solutions

1. Based on the figure below, if the radius of the curvature of the wire is 50 cm, determine the magnitude of the magnetic field at the center of curvature (at point 0, see figure below). (µo = 4π.10-7 Wb.A-1 m-1)

Known :Magnetic field at the center of an arc of current - problems and solutions 1

Radius (r) = 50 cm = 0.5 m

Electric current (I) = 1.5 Ampere

The vacuum permeability o) = 4π.10-7 Wb.A-1 m-1

Wanted: The magnitude of the magnetic field

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Electromagnetic induction Induced EMF – Problems and Solutions

3 Electromagnetic induction Induced EMF – Problems and Solutions

1. A coil replaced with another coil that has loops 2 times the initial loops and the rate of change of magnetic flux is constant. Determine the ratio of initial and final induced emf.

Known :

Initial loops (N) = 1

Final loops (N) = 2

The rate of change of initial magnetic flux (ΔØB / Δt) = the rate of change of final magnetic flux (ΔØB / Δt)

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