In the first figure it is clear that the only one diode is present between A and B. The I-V characteristics will be:
In the second figure, the diode in the upper arm in series with the 10Ω resistor has p-side connected to A and n-side connected to B.
Whereas, the other diode has exactly opposite polarities. When a potential difference is applied across terminals A and B, one of the diodes will become reverse biased and there will be no flow of current through that arm. ∴ I-V characteristics between terminals AB will be same as the previous figure.
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