# Difference between revisions of "Assignment 6, Part 1: Pre-lab questions"

20.309: Biological Instrumentation and Measurement

This is Part 1 of Assignment 6.

## Question 1

Consider the following circuit composed of a network of resistors: Combining resistance values in parallel and in series, draw a simplified version of the circuit containing the given voltage source (10V) and one equivalent resistor. Label the equivalent resistance value. Find the voltage values for the nodes $V_A$ and $V_B$ in the above diagram.

## Question 2 Referring to the circuit shown below, what value of $R_L$ (in terms of $R_1$ and $R_2$) will result in the maximum power being dissipated in the load?

Hint: this is much easier to do if you first remove the load, and calculate the equivalent Thevenin output resistance $R_T$ of the divider looking into the node labeled $V_{out}$ (the Electronics primer has a section on Thevenin Equivalent circuits). Then express $R_L$ for maximal power transfer in terms of $R_T$.

## Question 3

In the following circuit, R = 10 kΩ and C = 10 nF. Find the transfer function ${V_{out} \over V_{in}}$. What type of filter is this? Justify your answer. What is the cutoff frequency of this filter? Write your answer in units of Hz. Remember that $\omega = 2 \pi f$.

Note: You may find the pages on Impedance Analysis and Transfer Functions and Bode Plots helpful for this problem.