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.e dissipates 45 w.

Answer 1

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
`E= 14580 J`

Step-by-step explanation:

From the question we are told that

The 9.0V battery is rated 450
`{\rm mA} \cdot {\rm hr}.`

Generally Power is mathematically represented as

`Power = (Energy)/(time )`

`P = (E)/(t)`

Making E the subject of the formula

`E = P* t`

Power can also be represented mathematically as

`P = I * V`

Where I is current and V is voltage

Therefore the formula for energy would be

`E = I * V * t`

From the question we are told that

Substituting 1 mA =
`1*10^(-3) A` for I

9 volt for V

450 hr =
`450 *3600 sec = 1620000 \ sec` for t

`E = 1 *10^(-3) * 9 * 1620000`

`E= 14580 J`

Answer 2

Complete part of Question:

How much energy in Joules is this battery capable of supplying?

Answer:

Energy = 14,580 J

Step-by-step 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