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A 10V battery with an internal resistance of 1Ω is connected across a nonlinear load whose V-I characteristic is given by 
. The current delivered by the battery is __________ A
For non linear resistor 
----------------(1)
Applying KVL
---------------(2)
From equation 1 & 2
V = 5, -14 Volts
Taking Positive sign, as the non linear resistor is behaving as a load, so current direction should be from higher voltage to lower voltage which agrees with the direction shown.
V = -14 is neglected as current direction will remain same in that case but the resistor will start delivering power.
Hence, 
From equation 2
