Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202310 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Evening Shift
Subject
Physics
Chapter
Semiconductors

JEE Main 2023 · 10 April · Evening Shift · Physics · Semiconductors

If each diode has a forward bias resistance of 25Ω in the below...

If each diode has a forward bias resistance of 25Ω25Ω in the below circuit,

If each diode has a forward bias resistance of 25Ω in the below circuit, Which of the following options is correct?

Which of the following options is correct?

Options

  1. AI1I2=1\dfrac{{I}_{1}}{{I}_{2}} = 1
  2. BI2I3=1\dfrac{{I}_{2}}{{I}_{3}} = 1
  3. CI1I2=2\dfrac{{I}_{1}}{{I}_{2}} = 2
  4. DI3I4=1\dfrac{{I}_{3}}{{I}_{4}} = 1

Correct answer

C. I1I2=2\dfrac{{I}_{1}}{{I}_{2}} = 2

Step-by-step solution

As the diode D2{D}_{2} is connected in reverse order, there is no current through it.

The effective resistances of the circuit can, then, be calculated as follows:

{Reff=25+(25+125)2(25+125)+(25+125)Ω=100Ω\begin{cases}{R}_{eff} & = & 25 + \dfrac{{\left(25 + 125\right)}^{2}}{\left(25 + 125\right) + \left(25 + 125\right)}Ω \\ & = & 100Ω\end{cases}

Each current through the diodes can be calculated as follows:

{I1=(5V100Ω)=0.05A\begin{cases}{I}_{1} & = & \left(\dfrac{5V}{100Ω}\right) \\ & = & 0 . 05A\end{cases}

As the diode D2{D}_{2} is non-conducting, the current I1{I}_{1} will be divided equally among the other two diodes D1{D}_{1} and D3{D}_{3}.

Hence, the currents in the diodes can be written as

{I2=0.05A2=0.025AI4=0.025A\begin{cases}{I}_{2} & = & \dfrac{0 . 05A}{2} \\ & = & 0 . 025A \\ {I}_{4} & = & 0 . 025A\end{cases}

Thus,

{I1I2=0.05A0.025A=2\begin{cases}\dfrac{{I}_{1}}{{I}_{2}} & = & \dfrac{0 . 05A}{0 . 025A} \\ & = & 2\end{cases}

Practice Semiconductors on Quantrex Academy →

More from Semiconductors

The output Y for the given inputs A and B to the circuit is: JEE Main 2026Refer to the logic circuit given below. For two inputs (A=1, B=1) and (A=0, B=1) , output… JEE Main 2026The maximum rated power of the LED is 2 mW and it is used in the circuit with input… JEE Main 2026In a semiconductor p-n diode, the doping concentrations on p-side and n-side are 10^ 15… JEE Main 2026For the given logic circuit, which of the following inputs combination will make both LED… JEE Main 2026Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026A diode has Zener voltage of 10 V and maximum power dissipation of 0.5 W, then the… JEE Main 2026Two 4 bits binary numbers, A = 1101 and B = 1010 are given in the inputs of a logic… JEE Main 2026 Full Semiconductors list All JEE Main PYQs