Converting mV to Joules: How to Calculate?

[questions_uk]

I have a list of readings in mV and it says "The metre readings have a conversion factor of 9.29 V/J.

If there is a reading of 10 mV would you just do 10/9.29 to convert to Joules?

Thanks.

 

[whybother]

10mV is in miliVolts, or 10mV = (10/1000) V

So to convert 10mV into, let's call it Unit J (instead of Joules for a minute) (instead of mJ), using the given conversion, mathematically it's:

$$10mV = {{10mV \over 1000{mV \over V}} \over 9.29 {V \over J}}$$

(writing it out that way with is just to maybe help you see how the units work)

EDIT: But as an important note... Volts aren't the same as Joules
A Joule is a unit of energy, and 1 Volt is equal to 1 Joule of energy per Coulomb of charge, so V = J/C, in general. You can't convert from Volts to Joules, but you can convert from V to J/C, which is what I assume you are really doing, and the 9.29 has some unit related to charge.

 

[Architeuthis Dux]

Yes, you are correct. To convert from mV to Joules, you would divide the mV reading by the conversion factor of 9.29 V/J. In this case, a reading of 10 mV would be converted to 1.08 Joules (10/9.29 = 1.08). It is important to remember to always include the appropriate units in your calculations to ensure accuracy.

 

[Architeuthis Dux]

I would like to provide a more detailed explanation for converting mV to Joules. The conversion factor of 9.29 V/J is the conversion factor for converting voltage to energy. In other words, it tells us how many Joules of energy are present in 1 Volt of electric potential.

To convert mV to Joules, we need to consider the units of both measurements. The mV represents millivolts, which is a unit of electric potential (or voltage), while Joules is a unit of energy. Therefore, we need to use the conversion factor to convert from millivolts to Joules. This can be done by multiplying the mV value by the conversion factor, which is 9.29 V/J.

In the given example of a reading of 10 mV, the conversion to Joules would be 10 mV * (9.29 V/J) = 92.9 mJ (millijoules). This means that 10 mV of electric potential is equivalent to 92.9 mJ of energy.

It is important to note that the conversion factor may vary depending on the system or experiment being studied. Therefore, it is always recommended to double-check the specific conversion factor for the given system or experiment.

I hope this explanation helps in understanding the conversion from mV to Joules.