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https://texercises.com/exercise/partial-current/
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Exercise:
Show that for a parallel circuit the ratio of a partial current to the total current is given by fracI_I fracR_ + R_R_ where R_ and R_ are the two resistors in parallel I_ is the current through R_ and I is the total current.

Solution:
The ratio of I to I_ can be written as fracII_ fracI_+I_I_ + fracI_I_ We know that fracI_I_ fracR_R_ Using this in the earlier expression we find fracII_ + fracR_R_ fracR_ + R_R_ It follows for the ratio of I_ to I fracI_I fracR_R_+R_ quad square
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Exercise:
Show that for a parallel circuit the ratio of a partial current to the total current is given by fracI_I fracR_ + R_R_ where R_ and R_ are the two resistors in parallel I_ is the current through R_ and I is the total current.

Solution:
The ratio of I to I_ can be written as fracII_ fracI_+I_I_ + fracI_I_ We know that fracI_I_ fracR_R_ Using this in the earlier expression we find fracII_ + fracR_R_ fracR_ + R_R_ It follows for the ratio of I_ to I fracI_I fracR_R_+R_ quad square
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Attributes & Decorations
Branches
Electrodynamics
Tags
circuit, divider, parallel, resistance, resistor
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Difficulty
(1, default)
Points
0 (default)
Language
ENG (English)
Type
Proof
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