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Three equal resistances ,connected in series across a source of emf together dissipate 10W of power.What will be the power dissapated if the same resistance are connected in parallel across the same source?

Asked by vaishakhautade25 10th June 2017, 2:47 PM
Answered by Expert
Answer:
begin mathsize 12px style Three space equal space resistances space are space connected space in space series.
Hence comma space the space equivalent space resistance space is
straight R subscript eq equals 3 straight R
Therefore comma space the space power space dissipated space is
straight P subscript 1 equals straight V squared over straight R subscript eq equals fraction numerator straight V squared over denominator 3 straight R end fraction
straight V squared equals 3 RP equals 30 straight R space left parenthesis as space straight P equals 10 space straight W right parenthesis

When space connected space in space parallel comma
straight R subscript eq equals straight R over 3
straight P subscript 2 equals fraction numerator 3 straight V squared over denominator straight R end fraction equals fraction numerator 3 cross times 30 straight R over denominator straight R end fraction equals 90 space straight W end style
Answered by Expert 11th June 2017, 2:01 PM
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