Four circuit elements are connected in series across a sinusoidal alternating voltage given by 110 sin (ut +30°) The instantaneous voltage across three of the elements are given by v, = 30 sin wt, v, = 60 sin (wt+ 60°) and v, = 30 sin (wt- 30") %3D (a)Determine the expression for the fourth voltage in the form = A sin (Wt + B) (b) What is the r.m.s. value of v?

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Four circuit elements are connected in series across a
sinusoidal alternating voltage given by 110 sin (ut +30°)
The instantaneous voltage across three of the elements
are given by
v, = 30 sin wt, v, = 60 sin (wt+ 60°) and v, = 30 sin (wt- 30")
%3D
(a)Determine the expression for the fourth voltage in
the form
= A sin (wt + B)
(b) What is the
r.m.s. value
of v?
Transcribed Image Text:Four circuit elements are connected in series across a sinusoidal alternating voltage given by 110 sin (ut +30°) The instantaneous voltage across three of the elements are given by v, = 30 sin wt, v, = 60 sin (wt+ 60°) and v, = 30 sin (wt- 30") %3D (a)Determine the expression for the fourth voltage in the form = A sin (wt + B) (b) What is the r.m.s. value of v?
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