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Three 200Omega resistors are connected ...

Three `200Omega` resistors are connected as shown in figure. Any of these resistors breaks down if the rate of heat dissipation in it exceeds 50 W. Then, the maximum rate of total heat dissipation in the three resistors together is __________ W.

Text Solution

Verified by Experts

The maximum current that can be passed through any resistor is `=sqrt(50/200)=0.5A`
And, if the current in the first resistance (the one closest to A) is 0.5 A, the current in the other two resistances will be 0.25 A each.
So, total rate of heat dissipation,`p_(omegat)=(0.5)^2(300)=75W`
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