An automotive Battery is rated at120 A-h. This means that under certain test conditions, it canoutput 1 A at 12 V for 120 hours.

(a) How much total energy is storedin battery?

(b) If the headlights are left on overnight (8h),how much energy will still be stored in the battery in the morning(Assume a 150 w total power rating for both headlightstogether)

Respuesta :

Answer:

Part A:

In W-h:

Energy Stored=1440 W-h

In Joules:

[tex]Energy Stored=5.184*10^6Joules\\Energy Stored=5.184 MJ[/tex]

Part B:

In W-h:

Energy left=240 W-h

In Joules:

Energy left= 8.64*10^5 J

Explanation:

Part A:

We are given rating 120A-h and voltage 12 V

Energy Stored= Rating*Voltage              (Gives us units W-h)

Energy Stored=120A-h*12V

Energy Stored=1440 W-h

Converting it into joules (watt=joules/sec)

Energy Stored=[tex]1440 Joules * \frac{3600sec}{h}h[/tex]

Energy Stored=5184000 Joules

[tex]Energy Stored=5.184*10^6Joules\\Energy Stored=5.184 MJ[/tex]

Part B:

Energy used by lights for 8h=150*8

Energy used by lights for 8h=1200W-h

Energy left= Energy Stored(Calculated above)- Energy used by lights for 8h

Energy left=1440-1200

Energy left=240 W-h

Energy left=[tex]240 Joules * \frac{3600sec}{h}h[/tex]

Energy left=864000 Joules

Energy left= 8.64*10^5 J