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An alternating voltage V=140 sin 50 t is...

An alternating voltage V=140 sin 50 t is applied to a resistor of resistance 10 `Omega`. This voltage produces `triangleH` heat in the resistor in time `trianglet`. To produce the same heat in the same time, rquired DC current is

A

`5/sqrt(2)`

B

`10/sqrt(2)`A

C

0.20833333333333

D

None of these

Text Solution

AI Generated Solution

To solve the problem step by step, we need to calculate the heat produced in the resistor by the alternating current (AC) and then find the equivalent direct current (DC) that would produce the same amount of heat in the same time. ### Step 1: Identify the given values - The alternating voltage is given by \( V = 140 \sin(50t) \). - The resistance \( R = 10 \, \Omega \). ### Step 2: Calculate the RMS voltage The RMS (Root Mean Square) voltage for an AC voltage is given by: ...
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