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Asked by vidyavikram10 | 18 May, 2021, 08:58: AM
answered-by-expert Expert Answer
Alternating current in LCR circuit is given as ,
 
i = im sin( ω t + φ ) ...............................(1)
 
where φ is phase difference between voltage and current.
 
At half power , i.e., when circuit is giving half of maximum power , current in the alternating cicuit i = im / √2
 
Hence eqn.(1) is written at half power as ,   ( im / √2 ) = im sin( ω t + φ )
 
Hence we get , sin( ω t + φ ) = 1 / √2
 
at t = 0 , we get from above equation , sin ( φ ) = 1 / √2  or   φ = ( π/4 ) rad = 45o
 
Hence phase difference between Current and voltage is 45o

Answered by Thiyagarajan K | 18 May, 2021, 15:47: PM
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