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? plz tell me what is wattles current, Is it  I =I(rms)sinø or, I = I°(nod)sinø  
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Asked by vidyavikram10 | 16 Jun, 2020, 20:49: PM
answered-by-expert Expert Answer
When a pure inductor and/or a pure capacitor are connected to ac source, current flows through the circuit but there is no power loss. Such current is called wattless current.
 
In series LCR circuit
 
1) Heat developed in 80 seconds 
Z space equals space square root of R squared plus open parentheses X subscript L minus X subscript C space close parentheses squared end root
equals space square root of 4 squared plus open parentheses 7 minus 4 close parentheses squared end root
Z equals 5 space capital omega space space... space left parenthesis 1 right parenthesis space
I subscript 0 space equals space 25 over 5 space equals space 5 space A space... space left parenthesis f r o m space c i r c u i t space d i a g r a m space a n d space left parenthesis 1 right parenthesis right parenthesis
H e a t space p r o d u c e d space equals space I squared subscript m a x space end subscript R T space equals space fraction numerator 25 cross times 4 cross times 80 over denominator 2 end fraction space equals space 4000 space J space

2 right parenthesis space W a t l e s s space C u r r e n t space minus space
cos ϕ space space equals space R over Z space equals space 4 over 5
H e n c e comma space
ϕ space equals space cos to the power of negative 1 end exponent open parentheses 4 over 5 close parentheses space equals space 37 degree
W a t t l e s s space c u r r e n t comma space
I subscript r m s end subscript space sin ϕ space equals space 5 cross times space sin 37 degree space equals space 3 space A
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