Engineering Electromagnetics I

Objective

Part 1

• Plot the static scalar field S₁(x, y) = sin(xy) exp{-(x ² + y²)}
• Plot the static vector field P₁(x,y) = grad (S₁)

Part 2

• Generate a movie of the time-varying scalar field S₂(x, y, t) = sin(xy) sin(pt) exp{-(x² + y²)}
• Generate a movie of the time-varying vector field P₂ (x,y,t) = sin(xy) exp{-(x²sinpt + y ² sinpt)} x + cos(xy) exp{-(x ²sinpt + y² sin pt)} y

• BONUS

• Generate a movie of the moving time-varying vector field - you design the equation. Class will vote on the coolest movie - and extra points will be awarded to that group!

Part 3

• A DC voltage of 10 V is applied across a parallel plate capacitor with a 2 cm separation between the plates. Knowing that the potential field distribution inside the capacitor is linear, plot the potential and electric fields inside the capacitor. How would the potential and electric field distribution be if the voltage applied to the plates was a 10 V rms sinusoidal signal at 60 Hz?