Respuesta :
Complete part of Question:
How much energy in Joules is this battery capable of supplying?
Answer:
Energy = 14,580 J
Explanation:
NOTE: The question later focuses on the energy the battery can supply and not the 120 V outlet.
The energy the battery is capable of supplying is given by the equation:
Energy, E = IVt
The voltage of the battery, V = 9.0 V
The battery is rated 450 mAh = 0.45 Ah
That is, It = 0.45 Ah = 0.45*3600 = 1620 A-sec
Q = It = 1620 As
Energy = 1620 * 9
E = 14,580 J
Complete Question
A 60-cm-long heating wire is connected to a 120 v outlet. the wire the total charge a household battery can supply is given in units of ma⋅h. for example, a 9.0 v alkaline battery is rated 450 ma⋅h, meaning that such a battery could supply a 1 ma current for 450 h, a 2 ma current for 225 h, etc.
How much energy, in joules, is this battery capable of supplying?
Answer:
The amount of energy the battery is capable of supplying is [tex]E= 14580 J[/tex]
Explanation:
From the question we are told that
The 9.0V battery is rated 450 [tex]{\rm mA} \cdot {\rm hr}.[/tex]
Generally Power is mathematically represented as
[tex]Power = \frac{Energy}{time }[/tex]
[tex]P = \frac{E}{t}[/tex]
Making E the subject of the formula
[tex]E = P* t[/tex]
Power can also be represented mathematically as
[tex]P = I * V[/tex]
Where I is current and V is voltage
Therefore the formula for energy would be
[tex]E = I * V * t[/tex]
From the question we are told that
Substituting 1 mA = [tex]1*10^{-3} A[/tex] for I
9 volt for V
450 hr = [tex]450 *3600 sec = 1620000 \ sec[/tex] for t
[tex]E = 1 *10^{-3} * 9 * 1620000[/tex]
[tex]E= 14580 J[/tex]
