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A simple \(\mathrm{p\text-n}\) junction diode follows the law:     \(i\text{(current)}=i_0e^{qV/kT},\) for large currents in forward bias.
Here, \(T=\) absolute temperature, \(V=\) voltage across the diode, \(k=\) Boltzmann's constant and \(i_0=\) the drift current.
Then, the differential resistance of the diode \(\left(\dfrac{dV}{di}\right)\) is given by:
1.  \(\text{(constant)}i\)
2.  \(\text{(constant)}i^2\)
3.  \(\dfrac{\text{constant}}{i}\)
4.  \(\text{(constant)}e^{-\beta i},~\beta\text{-constant}\)

Subtopic:  PN junction |
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Which of the following represents a circuit that gives an output (i.e. true) when both its inputs are equal?
1.
2.
3.
4.
Subtopic:  Logic gates |
 57%
From NCERT
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The current-voltage characteristic of an ideal \(\mathrm{p \text{-}n}\) junction diode is given by the graph as shown in the following figure:

This diode is connected with a resistance of \(5~\Omega\) in series with it as shown below:

Which of the following shows the dependence of the voltage \(V_{AB}\) and the current \(i,\) when the diode is forward-biased?
(\(V_{AB}\) in volt, \(i\) in ampere)
 
1. \(V_{A B}=i\cdot5+0.6\)
2. \(V_{A B}=i\cdot5-0.6\)
3. \(V_{A B}=i\cdot5+(0.6-5)\)
4. \(V_{A B}=i\cdot5+\left(0.6+5\right)\)
Subtopic:  PN junction |
From NCERT
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The voltage \(V_{AB}=20~\text{V}\) at its peak value, and is sinusoidal in time. The current \(i\) (in amperes), when plotted as a function of time, is given by:
(consider the diodes as ideal.)
    
1. 2.
3. 4.
 
Subtopic:  PN junction |
From NCERT
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The circuit shown in figure is given an input signal \(V_i,\) which varies with time and the corresponding output is \(V_o.\) Then,
1. \(V_o=V_i+E\)
2. \(V_o=V_i-E\)
3. \(V_o=V_i,\) only when \(V_i>E\)
4. \(V_o=V_i,\) only when \(V_i<E\)
Subtopic:  PN junction |
From NCERT
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Under what conditions will diode \(D_1\) conduct?
         

1. \(V_A>V_B+V_0\)
2. \(V_A<V_B+V_0\)
3. \(V_A>V_B-V_0\)
4. \(V_A<V_B-V_0\)
Subtopic:  PN junction |
 65%
From NCERT
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In the circuit shown in the adjacent diagram, \(D_1,D_2\) are ideal diodes and \(r\)'s are small resistances. Then:
1. no current flows in the circuit
2. current flows anticlockwise
3. current flows clockwise
4. current only flows through \(D_2\) and not through \(D_1\)
Subtopic:  Applications of PN junction |
 66%
From NCERT
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The current flowing through the diode \(D_2\) is:

1. zero
2. \(4~\text{mA}\)
3. \(2.5~\text{mA}\)
4. \(0.8~\text{A}\)
Subtopic:  Applications of PN junction |
 68%
From NCERT
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\(D_1,D_2\) are ideal diodes and the output \((V_{AB})\) of the transformer is \(10\) V (RMS). The current through the resistor is:

1. zero
2. \(20\) mA
3. \(40\) mA
4. \(20\sqrt2\) mA
Subtopic:  Applications of PN junction |
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What does the following logic circuit represent?
1. AND 2. OR
3. NOR 4. XOR
Subtopic:  Logic gates |
 69%
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