This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: EE 141 Midterm 11/05/08 Duration: 1 hour and 40 minutes The midterm is closed book and closed lecture notes. No calculators. You can use a single page of handwritten notes. Please carefully justify all your answers. R L v e + + i Figure 1: Circuit for Problem 1. Problem 1: Consider the electric circuit used to drive a DC motor, represented in Figure 1. 1. Write the differential equation governing the voltage on the circuit knowing that the voltage drop across the DC motor is given by e = K e d dt where is angular position of the motors axle. Summing all the voltages we obtain: v = Ri + L di dt + K e d dt 2. Write the differential equation governing knowing that: the motor has moment of inertia J , there is a friction torque proportional to the angular velocity with constant of proportionality b , the circuits current i induces a torque given by K t i . 1 J d 2 dt 2 = b d dt + K t i 3. Compute the transfer function from input voltage to the motors angular position.3....
View Full
Document
 Fall '11
 Roychowdhury

Click to edit the document details