First slide

Alternating Current and voltage

Question

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

Moderate

A

6 amp
B

2 amp
C

3.46 amp
D

0.66 amp

Solution

Heat produced by ac = 3 $\times$ Heat produced by dc
$∴ i_{rms}^{2} Rt = 3 \times i^{2} Rt \Rightarrow l_{rms}^{2} = 3 \times 2^{2}$
$\Rightarrow i_{rms} = 2 \sqrt{3} = 3 .46 A$

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