hw1 (1) - 20.309: Biological Instrumentation and...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
20.309: Biological Instrumentation and Measurement Laboratory Fall 2006 Homework Set 1 Due by 12:00 noon on Friday, Sep. 22, 2006 in 16-352. 1. Figure 1 shows a resistor network known as a Wheatstone Bridge, which will be part of apparatus that you’ll build shortly for the DNA melting curves module. You can read a bit more about it in the handout for that module. For now, we will look at it analytically. R x is a resistance you are trying to measure, and R 3 is a variable resistor. Figure 1: A Wheatstone bridge circuit. (a) Assuming R 3 is set such that the bridge is balanced (i.e. V ab = 0), derive an analytical expression for R x in terms of R 1 , R 2 and R 3 . (b) Now let R 3 also be a fixed value, and suppose that R x varies in a way that makes V ab nonzero. Derive an expression for the dependence of V ab on R x 2. Referring again to the Wheatstone Bridge in Figure 1, suppose that R x varies with some physical parameter (strain, temperature, etc.) in the range of 1-10kΩ. You want
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

hw1 (1) - 20.309: Biological Instrumentation and...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online