Question
Download Solution PDFFind the current flowing through the 7 Ω resistor.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
The equivalent resistance when two resistances are connected in parallel is:
\(R={R_1R_2\over R_1+R_2}\)
When two branches are connected in parallel, a current is to be found in any one of the branches the current divider rule is used.
\(I_1=I\times {R_2\over R_1+R_2}\)
& \(I_2=I\times {R_1\over R_1+R_2}\)
Calculation
3Ω and 7Ω are connected in parallel.
\(R={3\times 7\over 3+7}=2.1Ω \)
The current in the circuit is given by:
\(I={82\over 2+2.1}=20A\)
The current through 7Ω resistance is:
\(I_{7\Omega}=20\times {3\over 3+7}\)
\(I_{7\Omega}=6\space A\)
Last updated on May 29, 2025
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