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Two resistors having resistance 8 Ω and 12 Ω are connected in parallel. Find their equivalent resistance. - Physics

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Question

Two resistors having resistance 8 Ω and 12 Ω are connected in parallel. Find their equivalent resistance.

Numerical

Solution

Let R be the equivalent resistance

∴ `1/"R" = 1/"R"_1 + 1/"R"_2`

`1/"R" = 1/8 + 1/12`

= `(3 +2)/24`

`1/"R" = 5/24`

R = `24/5`

= 4.8 Ω

or R = `("R"_1"R"_2)/("R"_1 + "R"_2)`

= `(8 xx 12)/((8 + 12))`

= 4.8 Ω

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