Three Resistors Having Values `"R"_{1}`, `"R"_{2}`, and `"R"_{3}`, are Connected in Series to a Battery | Bzziii

Three resistors having values `"R"_{1}`, `"R"_{2}`, and `"R"_{3}`, are connected in series to a battery. Suppose `"R"_{1}` carries a current of 2.0 A, `"R"_{2}`, has a resistance of 3.0 ohms, and `"R"_{3}`, dissipates 6.0 watts of power. Then the voltage across `"R"_{3}`, is-

(i) 1V
(ii) 2V
(iii) 3V
(iv) 4V 

(iii) 3V

Explanation:

l = 2 A, `"R"_{2}` = 3Ω, `"P"_{3}`= 6W 

Power across `"R"_{3}` = `"R"_{3}"l"`

6W = `"l"^{2}``"R"_{3}`

`6/4` = `"R"_{3}` = `3/2`

= 1.5 Ω

`"V"_{3}` = l `"R"_{3}` = 2 (1.5) = 3V

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CBSE Class 12 Physics Sample Paper-2022