The current in the resistance R will be ...

The current in the resistance R will be zero if

`E_(1)r_(1)=E_(2)r_(2)`

`(E_(1))/(r_(1))=(E_(2))/(r_(2))`

`(E_(1)+E_(2))r_(1)=E_(1)r_(1)`

`(E_(1)-E_(2))r_(1)=E_(2)r_(1)`

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