Question
Download Solution PDFTen resistors having the same value of resistance i.e. 10 ohm, are connected in parallel. What will be the equivalent resistance of this connection?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
When 'n' resistances are connected in series, the value of Req is given by:
\(R_{eq}=R_1+R_2........R_n\)
When 'n' identical resistances are connected in series, the value of Req is given by:
\(R_{eq}=nR\)
When 'n' resistors are connected in parallel, the value of Req is given by:
\({1\over R_{eq}}={1\over R_1}+{1\over R_2}.........{1\over R_n}\)
When 'n' identical resistances are connected in parallel, the value of Req is given by:
\({ R_{eq}}={R\over n}\)
Calculation
Given, \(R_1=10\Omega\) and n = 10
\({1\over R_{eq}}={R\over n}\)
\({ R_{eq}}={10\over 10}\)
\({ R_{eq}}=1\Omega\)
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