Determining the voltage of a power source

[nokia8650]

See file below:
http://img228.imageshack.us/img228/5797/screenshot20100527at215.png

This is for a biological membrane, but the principles are the same. I am asked what the value of the initial voltage, Vt is.The options are:

What was the value of the initial voltage, Vt?
A. +58 mV
B. -58 mV
C. +40 mV
D. +116 mV
E. It cannot be determined.

I can see that the time constant is 120ms, and hence the internal resistance is 12kohms. However, I am unable to see how I will calculate Vt, as the 40mV initially seen is surely not the potential difference across the battery.

Many Thanks

 

[Dadface]

If this is equivelent to a series RC circuit with a fixed resistor and a switch then when the switch is closed the voltage across the resistor starts at Vt and falls exponentially towards zero whereas the voltage across the capacitor starts at zero and rises towards Vt.

 

[nokia8650]

Thanks for the reply. If 40mV was the total battery voltage, and there are 40mV across the capacitor, does that mean that there are 0v across the resistor? My physics is really rusty ever since I became a medic..!

 

[Dadface]

If 40mV is the battery voltage then the full 40mV will be across the capacitor when it is fully charged and 0mV will be across the resistor.

 

[rdl]

As a scientist, my response to this question would be that the initial voltage, Vt, cannot be determined solely based on the information provided. In order to accurately determine the initial voltage, we would need to know the specific characteristics of the power source, such as its internal resistance, current capacity, and any other relevant factors. Without this information, it is not possible to accurately calculate the initial voltage. Additionally, the voltage measured across the biological membrane may not be equivalent to the voltage of the power source, as there may be other factors at play such as membrane permeability and ion concentrations. Therefore, without further information, the correct answer would be option E, "It cannot be determined."