1.

An alternating voltage is given by `E = 100 sin( omega +(pi)/(6))V`. The voltage will be maximum for the first time when is [T = periodic time)A. `(T)/(12)`B. `(T)/(2)`C. `(T)/(6)`D. `(T)/(3)`

Answer» Correct Answer - C
Given , alternating voltage is
` E = 100 sin ( omega t + ( pi ) /( 6 ) ) V ` ltBrgt The voltage will maximum, when
`sin ( omega t + ( pi ) / ( 6 ) ) = 1 `
` rArr sin ( omega t+ ( pi ) / ( 6 ) ) = sin"" (pi ) /(6) `
` rArr omega t+ ( pi ) / ( 6 ) = ( pi ) / ( 2 ) `
` rArr omega t = ( pi ) / ( 3 ) `
` rArr t = ( pi ) /( 3 omega ) = ( pi xx T ) /( 3 xx 2pi ) " " [ because omega = ( 2 pi ) /( T) ] `
` = ( T ) /( 6 ) `
Thus, the voltage will be maximum for the first time when ` t = ( T ) / ( 6 ) `.


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