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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?

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a

6 A

b

2 A

c

3.46 A

d

0.66 A

answer is C.

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Detailed Solution

Heat produced by AC = 3 × Heat produced by DC∴ irm2Rt=3 × i2 Rt⇒irms2=3 × 22⇒ irms=23=3.46 A

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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?