Hello, could you explain how Vr= [40/7] becomes 6<0 and Vl =[30/7] becomes 8<-90
Task2:
a In a circuit under test,a resistor R,is connected in series with an inductor L.An a.c.current i,flows
through this R-L combination, causing a voltage (V) of []V to be developed across the resistor, and a voltage (V) of V to be developed across the inductor.
VR is in-phase with i,and V leads i by 9o.Draw a vector diagram for this arrangement and calculate
the magnitude of the total voltage across the whole R-L combination.
b) You are measuring the force F,acting on an electrical conductor,which is subject to a strong magnetic field.The current may be modelled in three-dimensional space as:
I=-7i-6j+9k
and the magnetic field as:
B=5i-3j+4k
Determine the force F,as the cross product of the current vector and magnetic field vector,(i.e.,find I x B).Using a 3-dimensional Cartesian axis system, draw all three vectors,or use software to do so.
c) Using the dot product,determine the angle between the current vector and the magnetic field vector
