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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 (11/3) 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 (11/3) Ω?

Numerical
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Solution

The resistance of the given resistors is,

R1 = 1 Ω, R2 = 2 Ω, R3 = 3 Ω

Equivalent resistance, R' = `11/3` Ω

Consider the following combination of the resistors.

Equivalent resistance of the circuit is given by,

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

= `2/3 + 3`

= `11/3` Ω

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