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

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2.82A

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0.66A

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Solution

The correct option is C
2.82A

Heat produced by ac = 2 $\times$ Heat produced by dc $∴ i_{r m s}^{2} R t = 2 \times i^{2} R t \Rightarrow I_{r m s}^{2} = 2 \times 2^{2} \Rightarrow i_{r m s} = 2 \sqrt{2} = 2.82 A$

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

The correct option is C 2.82A Heat produced by ac = 2 × Heat produced by dc ∴ i2rmsRt=2×i2Rt⇒I2rms=2×22⇒irms=2√2=2.82A

The correct option is C
2.82A

Heat produced by ac = 2 $\times$ Heat produced by dc $∴ i_{r m s}^{2} R t = 2 \times i^{2} R t \Rightarrow I_{r m s}^{2} = 2 \times 2^{2} \Rightarrow i_{r m s} = 2 \sqrt{2} = 2.82 A$