What is the r.m.s. value of An alternating current which when passed through a resistor produces heat which is thrice of that produced by a direct current of 2 amperes in the same resistor

6 amp

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2 amp

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3.46 amp

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0.66 am

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Solution

The correct option is C 3.46 amp
Heat produced by ac = 3 X Heat produced by dc

$∴ i_{r m s}^{2} R t = 3 \times i^{2} R t \Rightarrow i_{r m s}^{2} = 3 \times 2^{2}$

$\Rightarrow i_{r m s} = 2 \sqrt{3}$ = 3.46A

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What is the r.m.s. value of An alternating current which when passed through a resistor produces heat which is thrice of that produced by a direct current of 2 amperes in the same resistor

The correct option is C 3.46 ampHeat produced by ac = 3 X Heat produced by dc ∴ i2rmsRt=3× i2Rt ⇒ i2rms=3× 22 ⇒ irms =2√3 = 3.46A

The correct option is C 3.46 amp
Heat produced by ac = 3 X Heat produced by dc

$∴ i_{r m s}^{2} R t = 3 \times i^{2} R t \Rightarrow i_{r m s}^{2} = 3 \times 2^{2}$

$\Rightarrow i_{r m s} = 2 \sqrt{3}$ = 3.46A