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Wave function help

Hi, I'm a bit stuck on this question and any help would be great I have completed part a just need help on b and c thanks!


V=2sin300t+3cos300t

(a) Express V in the form Ksin(300t+a ) where 0 α 180○.
(b) (i) Find the maximum value of V.
(ii) Find the first time that the voltage reaches 2 volts.
Original post by Morgan1239
Hi, I'm a bit stuck on this question and any help would be great I have completed part a just need help on b and c thanks!


V=2sin300t+3cos300t

(a) Express V in the form Ksin(300t+a ) where 0 α 180○.
(b) (i) Find the maximum value of V.
(ii) Find the first time that the voltage reaches 2 volts.

For b(i), The maximum value of sin t, where t is real, is 1. You have a sin function multiplied by a constant, so you can work out the maximum.


For c, just set V = 2.
Reply 2
Original post by Morgan1239
Hi, I'm a bit stuck on this question and any help would be great I have completed part a just need help on b and c thanks!


V=2sin300t+3cos300t

(a) Express V in the form Ksin(300t+a ) where 0 α 180○.
(b) (i) Find the maximum value of V.
(ii) Find the first time that the voltage reaches 2 volts.



Maximum is Root(13) volts frrom part a, I.e K

solve Ksin(300t+a ) = 2 and look for the ist positive solution

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