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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

Verified by Experts

The correct Answer is:
A
`V=30sin50t+40cos50t=50sin(50t+53^(@))`

`I_(rms) = V_(rms)= (50//sqrt(2))/(10) = 5/sqrt(2)A`
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