GATE EE 2016 Set 1 — Question 27
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Electric Circuits → Network Solution Methods → KCL & KVL
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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 and resistors are in series (top branch, ), and this branch is in parallel with the resistor. Let be the common voltage across the two branches.Step 1: Heat in the resistorHeat per second is proportional to power, soStep 2: Heat in the resistorThe top-branch current is , soStep 3: RatioAnswer: 2 calories per second
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