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# Exercise N 1. Slot embedded conductor

**Task**

Draw a plot of current distribution within the conductor placed in the slot of electric motor.

**Experiment**

Current density is obtained by potential measuring along the part of conductor done by voltmeter. Phase is determined by digital phasemeter.

**Problem type**

Plane-parallel time-harmonic linear magnetic problem.

**Geometry**

Problem area is to the right of symmetry axis (line *ab*), corresponding boundary conditions are set.

**Given data**

Relative permeability of steel *μ=100.*

Relative permeability of air, copper *μ= 1*.

Conductivity of copper *σ=57000000 S/m .*

The steel is laminated, so its conductivity along the bar is *σ=0 S/m.*

Frequency *f=50 Hz*.

The total current per the bar is 600 A, or 300 A if there are two bars in the slot.

**Boundary conditions**

At the vertical axis of symmetry (line *ab*) *H*_{t}=0.

The field fades within ferromagnetics, thus at outer boundaries the field is zero *A*=0.

**Results**

Vertical distribution of current density (phase=0) along the copper bar (*L*=0 at the bottom of the slot).

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