Q.

A semiconductor diode and a resistor of constant resistance are connected in some way inside a box having two  external terminals. When a potential difference  of 1 V is applied, we get I = 25 mA. If potential difference is reversed,  I = 50 mA.  Forward  resistance of diode and resistance are respectively

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a

40Ω and 40Ω

b

40Ω, 20Ω

c

6 Ω, 12 Ω

d

0 Ω, 

answer is B.

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Detailed Solution

When a diode is reverse-biased , the diode  does not conduct. So, if the resistor and diode are in series,  then the current should be zero in one of the two given cases. But this is not the case.  So, clearly, the two are  connected in parallel. Clearly, I = 25 mA corresponds to reverse biasing.

Now R=IV25×10-3A=100025Ω=40Ω

Again I = 50mA

Now, current shall flow through the diode also because diode is forward-biased .

If RP is the combined resistance of diode and resistor,

then RP=150×10-3AΩ=100050Ω=20Ω

Clearly, it is a parallel combination of 40Ω  and 40Ω.

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