Answer to Question #249596 in Electrical Engineering for BOYD MULYATA

Question #249596
QUESTION 4
(a) Derive the emf equation for the double wound transformer. [5 marks]
(b) Describe the principle of operation of the D.C machines operating on motor mode.
[5 marks]
1
Expert's answer
2021-10-12T01:54:07-0400

"\\text{Induced emf according to Lenz's law}\\\\\ne=-N\\dfrac{d\\phi}{dt}\\\\\ne-\\text{Induced emf}\\\\\nN- \\text{Turns of conductors}\\\\\n\\phi-\\text{magnetic flux}\\\\\nt- time\\\\\n\\phi=\\phi_m\\sin{2\\pi{f}t}\\\\\ne=-N\\dfrac{d(\\phi_m\\sin{2\\pi{f}t})}{dt}\\\\\ne=-2\\pi{f}N\\phi_m\\cos{2\\pi{f}t}\\\\\ne_{max}=2\\pi{f}N\\phi_m\\\\\ne_{rms}=\\dfrac{e_{max}}{\\sqrt{2}}\\\\\ne_{rms}=\\dfrac{ 2\\pi{f}N\\phi_m }{\\sqrt{2}}\\\\\ne_{rms}=4.44fN\\phi_m"


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