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Electronic Devices question

2019 · 11 Jan · Shift 2 · Q45
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Electronic Devices question

2019 · 11 Jan · Shift 2 · Q45

JEE MainPhysicsElectronic DevicesMCQ+4 / −1
The circuit shown below contains two ideal diodes, each with a forward resistance of 50 Ω\OmegaΩ. If the battery voltage is 6 V, the current through the 100 Ω\OmegaΩ resistance (in Amperes) is : JEE Main 2019 (Online) 11th January Evening Slot Physics - Semiconductor Question 168 English
  1. A
    0.027
  2. B
    0.030
  3. C
    0.036
  4. D
    0.020
View written solutionFree

Correct answer: D

  1. Interpret the diode model

    Each ideal diode has:

    • zero resistance in reverse bias branch (open circuit),
    • forward resistance =50 Ω= 50\,\Omega=50Ω when conducting.
  2. Identify which diodes conduct

    From the given circuit, only one diode becomes forward biased in the conducting path with the 100 Ω100\,\Omega100Ω resistor, while the other diode is reverse biased and does not conduct.

    So the effective series resistance in the active loop is: Req=100+50+150=300 ΩR_{\text{eq}} = 100 + 50 + 150 = 300\,\OmegaReq​=100+50+150=300Ω

    where:

    • 100 Ω100\,\Omega100Ω is the given resistor,
    • 50 Ω50\,\Omega50Ω is the forward resistance of the conducting diode,
    • 150 Ω150\,\Omega150Ω is the other series resistor in the loop.
  3. Apply Ohm's law

    Battery voltage is 6 V6\,\text{V}6V, hence the circuit current is: I=VReq=6300=0.020 AI = \frac{V}{R_{\text{eq}}} = \frac{6}{300} = 0.020\,\text{A}I=Req​V​=3006​=0.020A

  4. Current through the 100 Ω100\,\Omega100Ω resistor

    Since the resistor lies in the same series conducting loop, the current through it is the same: I100Ω=0.020 AI_{100\Omega} = 0.020\,\text{A}I100Ω​=0.020A

  5. Option matching

    0.020 A0.020\,\text{A}0.020A corresponds to Option D.


Comparison with stored answer: Stored correct answer is D, which matches the derived result.

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