Your Practice Set – Applications and Interpretation for IBDP Mathematics
4 . Two alternating current electrical sources are given as V1 �7sin ( 2� t� 0.95 ) and V
2 respectively , where t represents time in seconds . The total voltage V is given by V �V1� V2 � 6.3sin ( 2� t � 0.5 ) .
( a ) For V
1
, write down its
( i ) amplitude ;
( ii ) period .
2�ti
It is given that V2 �Im ( e ( z � w))
, z , w� .
( b ) Find the expression of z� w.
( c ) Express the following in the form r( cos�
� isin �) :
[ 2 ]
[ 3 ]
( i ) z
( ii ) w
( d ) It is given that i z �w � Le � . Find
[ 2 ]
( i ) L ;
( ii ) � .
( e ) Express V
2 in the form Asin ( Bt � C) , A , B , C � .
( f ) Hence , find the range of values of t when V2 � 2, 0.5 �t � 1.5 .
[ 6 ]
[ 3 ]
[ 3 ]
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