An alternating voltage is given by: `e = e_(1) sin omega t + e_(2) cos omega t`. Then the root mean square value of voltage is given by:

Options

A. `sqrt (e _(1) ^(2) + e _(2) ^(2))`
B. `sqrt (e _(1) e _(2))`
C. `sqrt (( e _(1) e _(2))/( 2 ))`
D. `sqrt (( e _(1) ^(2) + e _(2) ^(2))/(2))`

Explanation

`v _(rms) ^(2) = int _(0) ^(T) ((e _(2) sin omega t + e _(2) cos omegat ) ^(2) dt)/( T)`
`V _(rms) = sqrt ((e _(1) ^(2) + e _(2) ^(2))/( 2 ))`
where ` omega = ( 2pi)/(T)`