20105ee115A_1_hw1_solns

# 20105ee115A_1_hw1_solns - 1)As can be seen in the figure...

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1)As can be seen in the figure, there is a motor attached to one plate of the capacitor which makes the capacitor variable in time. Find the current flowing in the circuit if the capacitor is connected to a DC Voltage. Current I = ௗ௤ ௗ௧ and q = CV where q = charge in the capacitor Therefore, ܫ = ௗ௤ ௗ௧ = ݀ ஼௏ ௗ௧ = ௏ௗ஼ ௗ௧ = ܸܥ ( ଵି௖௢௦௪௧ ) ௗ௧ = ܸܥ ݓݏ݅݊ ( ݓݐ ) 2)The current-voltage characteristics of a non-linear resistor are governed by equation:- i =(2 -1 ) vin (0 7 -1 V -1 ) vin 2 +(0 4 -1 V -2 ) vin 3 0 3( - 1 V -3 ) vin 4 . If a voltage vin (shown below) is applied across the terminals of the resistor, which of the following waveforms shows the current that would flow through it?

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From the equation, since the voltage Vin is “small” [Range : 0.95V to 1.05V], the terms that involve Vin 2 , Vin 3 , Vin 4 respectively, can be assumed to be insignificant. Hence the dominant term is “2Vin”. Thus the current is almost
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20105ee115A_1_hw1_solns - 1)As can be seen in the figure...

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