MATLAB 6.1 - Charging AED Sudden cardiac arrest is one of the leading causes of

Question

MATLAB 6.1 - Charging AED Sudden cardiac arrest is one of the leading causes of death in the U.S. Over 350,000 people will suffer from sudden cardiac arrest this year. It can happen to anyone, anytime, anywhere and at any age. An authomated external defbrillator (AED) is the only offective treatment for restoring a regular heart rhythm during sudden cardiac arrest and is an easy to operate tool for someone with no medical background.- -https://www.redcross.org/take-a-class/learn-about-aeds The circuitry inside the AED includes a resistor (R), capacitor (C), and battery (V). When these components are connected in series, a charge Q builds up on the capacitor according to the formula Q(t) = CV( 1-e-t/RC) if there is no charge on the capacitor at time t = O. Assume the AED is activated at t = 0. Write a script to monitor the charge on the capacitor every 0.1 seconds in order to detect when it reaches a level of 8 units of charge, given that V 9, R 4, and C 1. Use a while loop to display the time and charge every 0.1 seconds until the charge first exceeds 8 units (i.e. the last charge displayed must exceed 8). Use fprintf to display the time and charge. After the charge on the capacitor exceeds 8 units, the AED is sufficiently charged to deliver a strong electric shock to restore the heart to normal rhythm. Save the time when the charge exceeds 8 units in the variable Charge Time. Save the value of charge at time Charge Time in the variable EndCharge. Your Script C Reset MATLAB Documentation 1 % Charging an AED 3 % use variable name chargeTime to store time when charge exceeds 8 units 4 ChargeTime e 5 % use variable name Endcharge to store value of charge at time-chargeTime 6 EndCharge- s Xuse a while loop to calculate charge and increment time in steps of e.1s 10 while Xinsert condidtional statement 11 %calculate charge 12 %use fprintf to display time, charge 13 %increment time 14 end 15

Explanation / Answer

% MATLAB script is as follows

clear all

clc

chargeTime=0;

EndCharge=0;

while EndCharge<=8

C=1;

  

V=9;

  

R=4;

  

EndCharge=C*V*(1-exp(-chargeTime/R*C));

fprintf(' Charge is %.4e time is %.4f ',EndCharge,chargeTime)

chargeTime=chargeTime+0.1;

end

% After execting above you will get result in command window as following

Charge is 0.0000e+00 time is 0.0000

Charge is 2.2221e-01 time is 0.1000

Charge is 4.3894e-01 time is 0.2000

Charge is 6.5031e-01 time is 0.3000

Charge is 8.5646e-01 time is 0.4000

Charge is 1.0575e+00 time is 0.5000

Charge is 1.2536e+00 time is 0.6000

Charge is 1.4449e+00 time is 0.7000

Charge is 1.6314e+00 time is 0.8000

Charge is 1.8134e+00 time is 0.9000

Charge is 1.9908e+00 time is 1.0000

Charge is 2.1639e+00 time is 1.1000

Charge is 2.3326e+00 time is 1.2000

Charge is 2.4973e+00 time is 1.3000

Charge is 2.6578e+00 time is 1.4000

Charge is 2.8144e+00 time is 1.5000

Charge is 2.9671e+00 time is 1.6000

Charge is 3.1161e+00 time is 1.7000

Charge is 3.2613e+00 time is 1.8000

Charge is 3.4030e+00 time is 1.9000

Charge is 3.5412e+00 time is 2.0000

Charge is 3.6760e+00 time is 2.1000

Charge is 3.8075e+00 time is 2.2000

Charge is 3.9357e+00 time is 2.3000

Charge is 4.0607e+00 time is 2.4000

Charge is 4.1826e+00 time is 2.5000

Charge is 4.3016e+00 time is 2.6000

Charge is 4.4176e+00 time is 2.7000

Charge is 4.5307e+00 time is 2.8000

Charge is 4.6411e+00 time is 2.9000

Charge is 4.7487e+00 time is 3.0000

Charge is 4.8537e+00 time is 3.1000

Charge is 4.9560e+00 time is 3.2000

Charge is 5.0559e+00 time is 3.3000

Charge is 5.1533e+00 time is 3.4000

Charge is 5.2482e+00 time is 3.5000

Charge is 5.3409e+00 time is 3.6000

Charge is 5.4312e+00 time is 3.7000

Charge is 5.5193e+00 time is 3.8000

Charge is 5.6053e+00 time is 3.9000

Charge is 5.6891e+00 time is 4.0000

Charge is 5.7708e+00 time is 4.1000

Charge is 5.8506e+00 time is 4.2000

Charge is 5.9283e+00 time is 4.3000

Charge is 6.0042e+00 time is 4.4000

Charge is 6.0781e+00 time is 4.5000

Charge is 6.1503e+00 time is 4.6000

Charge is 6.2206e+00 time is 4.7000

Charge is 6.2893e+00 time is 4.8000

Charge is 6.3562e+00 time is 4.9000

Charge is 6.4215e+00 time is 5.0000

Charge is 6.4851e+00 time is 5.1000

Charge is 6.5472e+00 time is 5.2000

Charge is 6.6078e+00 time is 5.3000

Charge is 6.6668e+00 time is 5.4000

Charge is 6.7244e+00 time is 5.5000

Charge is 6.7806e+00 time is 5.6000

Charge is 6.8354e+00 time is 5.7000

Charge is 6.8889e+00 time is 5.8000

Charge is 6.9410e+00 time is 5.9000

Charge is 6.9918e+00 time is 6.0000

Charge is 7.0414e+00 time is 6.1000

Charge is 7.0898e+00 time is 6.2000

Charge is 7.1369e+00 time is 6.3000

Charge is 7.1829e+00 time is 6.4000

Charge is 7.2278e+00 time is 6.5000

Charge is 7.2716e+00 time is 6.6000

Charge is 7.3142e+00 time is 6.7000

Charge is 7.3558e+00 time is 6.8000

Charge is 7.3964e+00 time is 6.9000

Charge is 7.4360e+00 time is 7.0000

Charge is 7.4746e+00 time is 7.1000

Charge is 7.5123e+00 time is 7.2000

Charge is 7.5490e+00 time is 7.3000

Charge is 7.5849e+00 time is 7.4000

Charge is 7.6198e+00 time is 7.5000

Charge is 7.6539e+00 time is 7.6000

Charge is 7.6871e+00 time is 7.7000

Charge is 7.7195e+00 time is 7.8000

Charge is 7.7511e+00 time is 7.9000

Charge is 7.7820e+00 time is 8.0000

Charge is 7.8121e+00 time is 8.1000

Charge is 7.8414e+00 time is 8.2000

Charge is 7.8700e+00 time is 8.3000

Charge is 7.8979e+00 time is 8.4000

Charge is 7.9251e+00 time is 8.5000

Charge is 7.9516e+00 time is 8.6000

Charge is 7.9775e+00 time is 8.7000

Charge is 8.0028e+00 time is 8.8000

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