To extend the battery lifetime, most contemporary devices have “sleep mode,” whi

Question

To extend the battery lifetime, most contemporary devices have “sleep mode,” which reduces the duty cycle of the battery. Assume that there are the following three possible states of a device with the corresponding current drainage: sleep mode – 1 [mA], receive mode – 5 [mA], and transmit – 250 [mA]. Calculate the battery lifetime as a function of the battery duty cycle if the subscriber makes 1 call: (a) once a day, (b) every 6 hours, (c) every hour. Assume, that the battery capacity is 1[A*h] and that a call lasts 3[min].

Explanation / Answer

This solution is written in Java code, where batteryLifeTime method shows the life time of battery for 3 types of subscriber's: (a) once a day, (b) every 6 hours, (c) every hour

Code:

public class Battery

{

public double callTime = 3; // call time 3 min

public void batteryLifeTime()

{

double batteryCapacity = 10; // 1Ah * 10 = 10Ah

// Let battery capacity for 1 day is 10Ah

double sMode = 0.001; // 1mAh 0r 0.001Ah Sleep Mode

double rMode = 0.005; // 5mAh 0r 0.005Ah Receive Mode

double tMode = 0.250; // 250mAh 0r 0.250Ah Transmit MOde

double tTime = 24*60; // Total time in minute for 1 day

double batteryLifeForOnceDay = batteryCapacity-(onceADay()*(rMode+tMode))-((tTime-onceADay())*sMode);

System.out.println("Battery Life for Once a day subscriber's : "+batteryLifeForOnceDay+" Ah");

double batteryLifeForSixHr = batteryCapacity-(everySixHr()*(rMode+tMode))-((tTime-everySixHr())*sMode);

System.out.println("Battery Life for every 6 Hr subscriber's : "+batteryLifeForSixHr+" Ah");

double batteryLifeForEveryHr = batteryCapacity-(everyHr()*(rMode+tMode))-((tTime-everyHr())*sMode);

System.out.println("Battery Life for every Hr subscriber's : "+batteryLifeForEveryHr+" Ah");

}

public double onceADay()

{

int numberOfCall=1; //Number of call once in a day =1

return numberOfCall*callTime;

}

public double everySixHr()

{

int numberOfCall=4; //Number of call once in a day = 24/6 = 4

return numberOfCall*callTime;

}

public double everyHr()

{

int numberOfCall=24; //Number of call once in a day = 24/1 = 24

return numberOfCall*callTime;

}

public static void main(String args[])

{

Battery btry = new Battery();

btry.batteryLifeTime();

}

}

If the final result comes in negative then the battery would consume before the day ends for a specific subscriber.

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