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https://texercises.com/exercise/variable-resistor/
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Exercise:
The resistance of a variable resistor connected to a battery is increased from RaO to RbO. How do the electric current and the dissipated power change?

Solution:
For the current through R we have I fracDelta VR Changing the resitance to R' corresponds to fracI'I IfactF fracRaRb & approx resultIfactP The power can be calculated using P fracleftDelta Vright^R We find for the ratio fracP'P PfactF fracRaRb & approx resultIfactP Both the current and the power decrease by IdiffabsP.
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Exercise:
The resistance of a variable resistor connected to a battery is increased from RaO to RbO. How do the electric current and the dissipated power change?

Solution:
For the current through R we have I fracDelta VR Changing the resitance to R' corresponds to fracI'I IfactF fracRaRb & approx resultIfactP The power can be calculated using P fracleftDelta Vright^R We find for the ratio fracP'P PfactF fracRaRb & approx resultIfactP Both the current and the power decrease by IdiffabsP.
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Attributes & Decorations
Branches
Direct Current
Tags
electric current, electric power, electric resistance
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Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
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Link