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35 changes: 22 additions & 13 deletions _posts/theory/2025-05-15-dc-generator.md
Original file line number Diff line number Diff line change
Expand Up @@ -327,7 +327,7 @@ image:
<li onclick="checkAnswer(this, true)" data-correct="true">Smooth reversal of current direction</li>
</ul>
<hr>
<h3 id="q39">Q39: Why solid pole shoes are used in D.C generator?</h3>
<h3 id="q39">Q39: Why solid pole core are used in D.C generator?</h3>
<ul>
<li onclick="checkAnswer(this, false)" data-correct="false">To reduce the copper loss</li>
<li onclick="checkAnswer(this, false)" data-correct="false">To increase the residual magnetism</li>
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</ul>
<details>
<summary>Show Calculation</summary>
* Number of poles ($P$) = $4$
* Number of conductors ($Z$) = $1020$
* Speed ($N$) = $1500 \text{ rpm}$
* Flux per pole ($\phi$) = $0.007 \text{ Wb}$
* Winding type = Simplex Wave Wound
Number of poles ($P$) = $4$

Number of conductors ($Z$) = $1020$

Speed ($N$) = $1500 \text{ rpm}$

Flux per pole ($\phi$) = $0.007 \text{ Wb}$

Winding type = Simplex Wave Wound

The generated EMF ($E_g$) in a DC generator is calculated using the formula:
$$E_g = \frac{\phi Z N P}{60 A}$$

For a **Wave Wound** armature, the number of parallel paths ($A$) is always equal to 2, regardless of the number of poles.
For a Wave Wound armature, the number of parallel paths ($A$) is always equal to 2, regardless of the number of poles.

$$E_g = \frac{0.007 \times 1020 \times 1500 \times 4}{60 \times 2}$$

Expand Down Expand Up @@ -473,14 +478,18 @@ $$E_g = 357 \text{ Volts}$$
</ul>
<details>
<summary>Show Calculation</summary>
**Formula:**
Formula:
$$E_g = \frac{\phi Z N P}{60 A}$$

* $\phi = 0.064 \text{ Wb}$
* $Z = 600$
* $N = 1000 \text{ rpm}$
* $P = 4$
* $A = 4$ (For Lap winding, $A = P$)
$\phi = 0.064 \text{ Wb}$

$Z = 600$

$N = 1000 \text{ rpm}$

$P = 4$

$A = 4$ (For Lap winding, $A = P$)

$$E_g = \frac{0.064 \times 600 \times 1000 \times 4}{60 \times 4}$$

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