What is this connection of resistors? Parallel or serial?
Ideal situation:

Resistors are in series. Both end nodes of the resistors have a potential of E volts, therefore, the potential across both resistors are 0V. This results in zero amps current.

Non-ideal situation:

Both batteries have slightly different voltage source value with its own internal resistances. This will incur a different voltage potential at both end notes, resulting in a potential difference across both resistors. This will cause a low amount of current to conduct through the resistors.