A 2.0 V battery is rated at 5 Ah. During continuous use, with the battery supply

Question

A 2.0 V battery is rated at 5 Ah. During continuous use, with the battery supplying a current of 200 mA, the battery voltage stays substantially constant at 2.0 V for the first 18 hours. During the next 12 hours, the voltage drops linearly to 1.76 V whereas the current drops linearly to 100 mA. At this point the battery is no longer considered useful. (a) How much energy was delivered by the battery during the 30 hours? (b) Plot the battery voltage curve using Matlab (x-axis is time in seconds and y-axis is voltage in volts). (c) Plot the battery current curve using Matlab (x-axis is time in seconds and y-axis is voltage in ampere). (d) Plot the battery power curve using Matlab (x-axis is time in seconds and y-axis is voltage in watt).

PLEASE COMPLETE MATLAB CODE!

Explanation / Answer

V=[2,2,1.76,1.76]; %voltage values in volts
i=[200,200,100,100]; %curret values in mAmps
I=i.*1000; %current in amps
t=[0,18,18,30]; %time in hrs
T=t.*(60*60); %time in sec
P=V.*I; %power
E=(((P(:,2))*(T(:,2)))-((P(:,1))*(T(:,1))))+(((P(:,4))*(T(:,4)))-((P(:,3))*(T(:,3))));

% a) To get total energy enter E
% b) To get plot of V vs T enter plot(T,V)
% c) To get plot of I vs T enter plot(T,I)
% d) To get plot of P vs T enter plot(T,P)

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