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Exercise:
Two resistors with resistances RaO and RbO are connected in parallel to a voltage supply. The current through the first is dIO greater than that through the second one. Calculate the partial currents and the applied voltage.

Solution:
The ratio of the partial currents I_I_+Delta I through R_RaO Delta IdIO and I_ through R_RbO is given by fracI_I_ fracI_+Delta II_ fracR_R_ This can be solved for I_: I_ + Delta I I_ fracR_R_ Delta I I_ leftfracR_R_-right I_leftfracR_-R_R_right I_ Delta I leftfracR_-R_R_right^- IbF fracdItimes RaRb-Ra resultIbP The current I_ is I_ IaF Ib-dI resultIaP
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Exercise:
Two resistors with resistances RaO and RbO are connected in parallel to a voltage supply. The current through the first is dIO greater than that through the second one. Calculate the partial currents and the applied voltage.

Solution:
The ratio of the partial currents I_I_+Delta I through R_RaO Delta IdIO and I_ through R_RbO is given by fracI_I_ fracI_+Delta II_ fracR_R_ This can be solved for I_: I_ + Delta I I_ fracR_R_ Delta I I_ leftfracR_R_-right I_leftfracR_-R_R_right I_ Delta I leftfracR_-R_R_right^- IbF fracdItimes RaRb-Ra resultIbP The current I_ is I_ IaF Ib-dI resultIaP
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Attributes & Decorations
Branches Direct Current
Tags current divider, parallel circuit, resistor
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Difficulty
(2, default)
Points
0 (default)
Language ENG (English)
Type Calculative / Quantity
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