GATE EC 2015 Set 2 — Question 59
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Question
The diode in the circuit given below has but is ideal otherwise. The current (in mA) in the resistor is ______.
Correct answer
0.59 to 0.61
Solution
1.Analyze the bridge balance: The bridge consists of two parallel branches. The left branch has resistors and . The right branch has resistors and .
2.Check the balance condition: and . Since the ratios are equal, the bridge is balanced.
3.Determine diode state: In a balanced bridge, the potential difference between the two midpoints is zero. Therefore, no current flows through the center branch containing the diode and the resistor. The diode remains OFF.
4.Calculate current in the resistor: Since the center branch is open, the current source divides between the two parallel paths: the left path and the right path .
5.Using the current division rule, the current through the left branch (and thus the resistor) is:
6.The final answer is .
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