Question

An AC generator with armature loop area of 0.1 m2 and 20 turns, rotates the armature at 60 Hz within a static magnetic field with magnetic flux density of 0.2 T.

A) Using V_emf^m=NAωB_0 sinωt, include below the appropriate numeric expression for V_emf^m as a function of time including units. (Hint: The peak emf voltage should be between 140 and 160 V.)

B) Using MATLAB, plot the V_emf^m expression derived for part (a.) for time t ranging from 0 to 20 ms in 100 µs increments along the x-axis. On your plot scale the x-axis so that the time is displayed in units of milliseconds rather than seconds. Include both x and y axis labels with units, along with the title “AC Generator Output Voltage".

Answer 1

V_emf = 20 x 0.1 x (2 x 3.14 x 60) x 0.2 sin (2 x 3.14 x 60 x t) = 150.8 sin (377t) V

The plot and code are