For most purposes, we store electrical energy in batteries. But there are drawba
ID: 1531942 • Letter: F
Question
For most purposes, we store electrical energy in batteries. But there are drawbacks to batteries: They release their energy rather slowly and are very damaging environmentally. Capacitors would be much cleaner for the environment and can be quickly recharged. Unfortunately they don’t store much energy.
1) A new 1.5-V AAA battery has a “capacity” (not capacitance) of 1250 mA·h. What does this “capacity” actually represent? Express it in standard SI units. (Express your answer to three significant figures.)
PLEASE HELP WITH 1 through 5 Thanks!
1 2 3 4 5 For most purposes, we store electrical energy in batteries. But there are drawbacks to batteries: They release their energy rather slowly and are very damaging environmentally. Capacitors would be much cleaner for the environment and can be quickly recharged. Unfortunately they don't store much energy. 1) A new 1.5 AAA battery has a "capacity" (not capacitance) of 1250 mA h. What does this "capacity" actually represent? Express it in standard S units. (Express your answer to three significant figures.) C submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 2) How many joules of energy can be stored in the AAA battery? (Express your answer to two significant figures.) kJ submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 3) At a steady current of 400 mA, how many hours will the AAA battery last? (Express your answer to two significant figures.) h Submit You currently have submissions for this question. Only 10 submission are allowed. you can make 10 more submissions for this question 4) How much energy can be stored in a typical 10-AuF capacitor charged to a potential of 1.5 V? (Express your answer to two significant figures.) Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question 5) How does that compare to the energy stored in the AAA battery? (Express your answer to two significant figures.) x108 Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this questionExplanation / Answer
mA.H means milli ampere-hour
1) 1250 mA.h = 1250*10^-3*(1C/1S)*(3600S) = 4500 C = 4.5 kC
2) U = 0.5*Q*V = 0.5*4.5*10^3*1.5 = 3375 J = 3.375 kJ
3) t = 1250/400 = 3.125 Hours
4) U = 0.5*C*V^2 = 0.5*10*10^-6*1.5^2 = 11.25*10^-6 J = 11.25 uJ
5) U_battery / U_capacitor = 3375/(11.25*10^-6) = 3*10^8
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