1.

Draw phasor diagram for the ac circuit comprising of a pure inductor.

Answer»

Solution :`epsilon = epsilon_(0) SIN omega t`
`epsilon -L (d i)/(d t) = 0`
`(d i)/(d t) = (epsilon)/(L) = (epsilon_(0))/(L) sin omega t`
`underset(0)overset(i)int (di)/(d t) d t = (epsilon_(0))/(L) underset(0)overset(i)int sin omega tdt`
`i= -(epsilon_(0))/(omega L) cos omega t`
`rArr i = - (epsilon_(0))/(X_(L)) sin (omega t - pi//2), sin C^(e)(X_(L) = omega L)`
`rArr i = i_(0) sin(omega t - (pi)/(2))` where , `i_(0) = (-epsilon_(0))/(X_(L))`


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