GATE EE 2016 Set 1 — Question 27
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Question
In the portion of a circuit shown, if the heat generated in resistance is 10 calories per second, then heat generated by the resistance, in calories per second, is _______.
Correct answer
1.9 to 2.1
Solution
The circuit consists of two parallel branches. The bottom branch contains a resistor, and the top branch contains a and a resistor in series. Let be the voltage across these parallel branches.
Using the power formula , we have:
1.Find the voltage :
The heat generated in the resistor is given as cal/s.Using the power formula , we have:
2.Find the total resistance of the top branch:
3.Find the current through the top branch:
4.Calculate the heat generated in the resistor:
5.Substitute :
Thus, the heat generated by the resistance is 2 calories per second.Continue learning with Success Tracker
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