I'm currently working on a college project based on IEEE paper raspberry pi as a wireless sensing node. I'm using a dht11 sensor for measuring temperature and humidity. According to the data sheet I have used an 4.7 Kohm resistor with the dht11. And because it is failed to work replaced it with a 10 Kohm resistor suggested by a thread here. I am currently obtained a partial output. The real problem is my project evaluation committee members are insisting on the design details of resistor used. I've told them its according to the data sheet. But the want me to show the selection by using equations. By so far I can only learn that it us used as a pull up resistor. Some say it as a current limitter. Can any one help me with the design and walk me through the design of the resistor used with dht11?