Potential Across Two 50k Ohms Resistors in Open Circuit

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SUMMARY

The potential across the terminals of two 50k ohm resistors connected to a battery in an open circuit is equal to the unloaded cell voltage. The resistors do not influence the potential unless they are part of a closed circuit. In scenarios involving conductors in an electric field, the conductor with negligible resistance will gain more net charge when earthed compared to one with 50k ohm resistance. The discussion clarifies that voltage drop occurs only when there is current flow through resistors.

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2 terminals of a battery are connected to 2 50k ohms resistor...but in open circuit.

i.e -

______
---------/\/\/\/\/\/---|______|--------/\/\/\/\/\/\/\/-----

______
the '/\/\/\/\/\/\/\/' are the resistors and the '|______|' is the cell wile '--------' are the wires.


What will be the potential across their terminals?

Another example of what I'm asking here is suppose we have 2 conductors submersed in a uniform electric field, one of the conductors has 50k resistance while the other has negligible; which conductor will gain more net charge when earthed?
 
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Assuming that you're referring to the open end resistor terminals in your first question, the potential will be whatever the battery voltage is. The resistors have nothing to do with it unless they form a circuit. I don't understand your example, so maybe I'm misinterpreting your question. I don't normally think in terms of conductors and resistors as having a charge unless they form a capacitor. Conductors and resistors have a voltage drop across them when there is current flow.
 
First of all...sorry for the ultra late response...I got the answer...thanks!
 
What will be the potential across their terminals?

The potential across the cell will be the unloaded cell voltage.
 

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