One use of amplifiers it to enable measurement of cellular voltages using small glass electrodes called patch clamps. consider the nerve cell undergoing the action potential displayed to the right. a. the analog-digital converting unit in the lab can measure a total dynamic range of 15v. what gain (vout/vin) is appropriate to amplify the signal? b. design both an inverting and a non-inverting amplifier with a gain of 15. what is the maximum magnitude of the source current from the cell on the right in both cases? c. amplifiers used to measure cellular potential that source more than 10pa can significantly alter cellular physiology. would you need to alter either of the amplifiers designed in b to compensate? d. large resistors have a voltage noise associated called johnson–nyquist noise. the equation for noise at body temperature is roughly 푉푛표푖푠푒=1.3∗10―10푅∗퐹푟푒푞푢푒푛푐푦. cellular potentials for active cells are usually measured at sampling rates up to 40khz. what is the noise associated with the amplifiers designed with part c in mind? is one amplifier design superior for this application? e. rather than a 15v range, the system is specifically setup to measure voltages from 0-15v. using an additional voltage source of your choosing and another op-amp circuit along with your preferred amplifier design to ensure that the output voltages from a cell are measurable across the entire signal above.