1.

In the following problems, assume that the resistance of each diode is zero in forward bias and infinity in reverse bias . (a) Find the current supplied by the battery in the following cases. (b) Find the currents through the resistance in the circuits shown in the figures. (c ) Find the current through the battery in each of the circuits shown in the figures. (d) Find the equivalent resistance of the network shown in the figure between the points A and B.

Answer»

Solution :(a)
`D_(1)` is in forward BIAS, `i_(1)=(5)/(10)=0.5A`
`D_(2)` is in reverse bias, `i_(2)=0`
`i=i_(1)+i_(2)=0.5A`
(ii) `D_(1)` is in reversible bias, `i_(1)=0`
`D_(2)` is forward bias, `i_(2)=(5)/(20)=0.25A`
`i=i_(1)+i_(2)=0.25A`
(b) (i)
Both diodes are in forward bias,
`i=(2)/(2)=1A`
(ii)
`D_(1)` is in forward bias, `D_(2)` is in reverse bias
`i=0`
(iii)
Both diodes are in forward bias
`i=(2)/(2)=1A`
(iv)
`D_(1)` is in forward bias, `D_(2)` is in reverse bias
`i=(2)/(2)=1A`
(c ) (i)
Both diodes are in forward bias,
`i_(1)=5//10=0.5A,i_(2)=(5)/(10)=0.5A`
`i=i_(1)+i_(2)=1A`
(ii)
Upper diode is in forward bias
`i_(1)=(5)/(10)=0.5A`
Lower diode is in reverse bias
`i_(2)=0`
`i=i_(1)+i_(2)=0.5A`
(d) If`V_(A)gtV_(B)`
Diode is in forward bias, it offers zero RESISTANCE.
`R_(eq)=(10)/(2)=5OMEGA`
If `V_(A) lt V_(B)`, Diode is in reverse bias, it offers infinite resistance.
`R_(eq)=10OMEGA`


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