It is important to note that the direct of flow of the electricity current in the Linear Machine is anti-clockwise direction. The resultant effect of this is such that is stand at variance with the change in flux as force is going the right direction. See attached Image (Illustration I).
Recall that Force (f) = il xB
Given that Force (F) = 10N; and
Magnetic Field Density B = 0.5T
Hence,
10 = i x 0.2 x 0.5
[Note that Width is converted to Meters from millimeters that is 200 mmm = 0.2m]
10 = 0.1i
i = 10/0.1
i = 100A
Note that Vg = Vde + IR
Vg = 10 + 100 x 0.05
Vg = 10 + 5
Vg = 15v
The final speed of the bar is given as V
Recall that Induced Voltage is VB x L
That is:
15 = V x 0.5 x 0.2;
15 = 0.1 V
make V the subject of the formula:
V = 15/0.1
V = 150m/s
Given that the current being supplied is in DC hence the machine is a generator. [Vdc x i]
The electric power of the source is:
Vdc x i
= 10 x 100
= 1,000 watts
Hence, it is correct to indicate that the direct of flow of the electricity current in the Linear Machine is anti-clockwise direction and the rating of the electric power is 1,000 watts.
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