7. A generator has a no load emf of 125 V and has 175 armature conductors. If a gasoline engine rotates the armature of the generator at a speed of \( 3500 \mathrm{r} / \mathrm{m} \), find the strength of the field flux per pole in Webers.
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To find the strength of the field flux per pole in Webers, we can use the formula for the induced emf in a generator, which is: \[ E = \frac{N \cdot \Phi \cdot P \cdot n}{60} \] Where: - \(E\) is the no-load emf (125 V), - \(N\) is the number of armature conductors (175), - \(\Phi\) is the flux per pole in Webers, - \(P\) is the number of poles (assuming a typical generator with 2 poles unless stated otherwise), - \(n\) is the speed of rotation in revolutions per minute (3500 r/m). Assuming \(P = 2\), we can rearrange the equation to solve for \(\Phi\): \[ \Phi = \frac{E \cdot 60}{N \cdot P \cdot n} \] Now substituting the values into the equation: \[ \Phi = \frac{125 \cdot 60}{175 \cdot 2 \cdot 3500} \] Calculating this gives: \[ \Phi \approx \frac{7500}{1225000} \approx 0.00612 \text{ Wb} \] So, the strength of the field flux per pole is approximately **0.00612 Webers**.
