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Karnataka Board PUCPUC Science 2nd PUC Class 12

Given the resistances of 1 Ω, 2 Ω, 3 Ω, how will be combine them to get an equivalent resistance of (6/11) Ω? - Physics

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Question

Given the resistances of 1 Ω, 2 Ω, 3 Ω, how will be combine them to get an equivalent resistance of  (6/11) Ω?

Numerical
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Solution

Equivalent resistance, R' = `6/11` Ω

Consider the series combination of the resistors, as shown in the given circuit.

Equivalent resistance of the circuit is given by,

R' = `(1 xx 2 xx 3)/(1 xx 2 + 2 xx 3 + 1 xx 3)`

= `6/11` Ω

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