एक 2000/1000/500 तीन-वाइंडिंग ट्रांसफार्मर को 3000 V सप्लाई के साथ ऑटो ट्रांसफार्मर के रूप में उपयोग करना है। दो लोड हैं: 3500 V पर 1050 kVA और 1000 V पर 180 kVA। कुल आपूर्ति kVA होगा
उत्तर और चरणबद्ध हल
दिए गए दो लोड 1050 kVA और 180 kVA हैं। अतः लोड को दी गई कुल आभासी शक्ति 1050 + 180 = 1230 kVA है, जो विकल्प A है।
विस्तृत हल (मूल भाषा में)
Concept & Reasoning
The question supplies two simultaneous load ratings connected to different voltage points of a three-winding transformer used in an autotransformer arrangement. When asked for total kVA supplied, apparent powers of the loads are added (assuming the ratings represent simultaneous delivered apparent power). The internal conductive/transformative kVA split is relevant to winding rating and copper economy, but it does not change the total external load kVA delivered.
How to Solve It in the Exam
External total kVA = sum of simultaneous load kVA values.
Important Exam Point
Do not confuse autotransformer transformed kVA with total load kVA.
Quick Trick
External total kVA = sum of simultaneous load kVA values.
Common Mistake
Applying voltage ratios unnecessarily can obscure the direct load-sum requested.
A 2000/1000/500 three winding transformer is to be used as auto transformer with supply of 3000V. Two loads of 1050 kVA at 3500 V and other one at 180 kVA at 1000 V. The total kVA supplied will be
Answer & step-by-step solution
The two specified loads are 1050 kVA and 180 kVA. The total apparent power supplied to the loads is therefore 1050 + 180 = 1230 kVA, matching option A.
Concept & Reasoning
The question supplies two simultaneous load ratings connected to different voltage points of a three-winding transformer used in an autotransformer arrangement. When asked for total kVA supplied, apparent powers of the loads are added (assuming the ratings represent simultaneous delivered apparent power). The internal conductive/transformative kVA split is relevant to winding rating and copper economy, but it does not change the total external load kVA delivered.
How to Solve It in the Exam
External total kVA = sum of simultaneous load kVA values.
Important Exam Point
Do not confuse autotransformer transformed kVA with total load kVA.
Quick Trick
External total kVA = sum of simultaneous load kVA values.
Common Mistake
Applying voltage ratios unnecessarily can obscure the direct load-sum requested.
એક 2000/1000/500 ત્રણ-વાઇન્ડિંગ ટ્રાન્સફોર્મરને 3000 V સપ્લાય સાથે ઓટો ટ્રાન્સફોર્મર તરીકે વાપરવાનું છે. બે લોડ છે: 3500 V પર 1050 kVA અને 1000 V પર 180 kVA. કુલ પૂરો પાડેલ kVA હશે
જવાબ અને પગલાવાર ઉકેલ
આપેલ બે લોડ 1050 kVA અને 180 kVA છે. તેથી લોડને અપાતો કુલ આભાસી પાવર 1050 + 180 = 1230 kVA છે, જે વિકલ્પ A છે.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Concept & Reasoning
The question supplies two simultaneous load ratings connected to different voltage points of a three-winding transformer used in an autotransformer arrangement. When asked for total kVA supplied, apparent powers of the loads are added (assuming the ratings represent simultaneous delivered apparent power). The internal conductive/transformative kVA split is relevant to winding rating and copper economy, but it does not change the total external load kVA delivered.
How to Solve It in the Exam
External total kVA = sum of simultaneous load kVA values.
Important Exam Point
Do not confuse autotransformer transformed kVA with total load kVA.
Quick Trick
External total kVA = sum of simultaneous load kVA values.
Common Mistake
Applying voltage ratios unnecessarily can obscure the direct load-sum requested.
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