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Exercise:
A new battery VnO rnO and an old battery VoO roO are connected in parallel. Calculate the current flowing through this circuit without an external load.

Solution:
The figure shows the equivalent circuit for the two batteries with their ernal resistances. center includegraphics#image_path:old-new-battery-# center For the loop defined by the connected batteries the polarities of the batteries have opposite directions i.e. the total voltage corresponds to the difference of the two source voltages: sscDelta Vtot sscDelta Vnew - sscDelta Vold The total resistance is sscrtot sscrnew + sscrold It follows for the current I fracsscDelta Vtotsscrtot IF fracVn - Vorn + ro I approx resultIP- This is not a large current but in a lot of battery-powered devices the batteries remain connected even if the external load is switched off so the current is always flowing. This is the reason you should never mix fresh and old batteries.
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Exercise:
A new battery VnO rnO and an old battery VoO roO are connected in parallel. Calculate the current flowing through this circuit without an external load.

Solution:
The figure shows the equivalent circuit for the two batteries with their ernal resistances. center includegraphics#image_path:old-new-battery-# center For the loop defined by the connected batteries the polarities of the batteries have opposite directions i.e. the total voltage corresponds to the difference of the two source voltages: sscDelta Vtot sscDelta Vnew - sscDelta Vold The total resistance is sscrtot sscrnew + sscrold It follows for the current I fracsscDelta Vtotsscrtot IF fracVn - Vorn + ro I approx resultIP- This is not a large current but in a lot of battery-powered devices the batteries remain connected even if the external load is switched off so the current is always flowing. This is the reason you should never mix fresh and old batteries.
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Branches
Electrodynamics
Tags
battery, internal resistance, series, source voltage
Content image
Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration