## 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

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.

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6 months 2021-07-15T02:43:00+00:00 2 Answers 1 views 0

1. Complete part of Question:

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

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

2. 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?

The amount of energy the battery is capable of supplying is

Explanation:

From the question we are told that

The 9.0V battery is rated 450

Generally Power is mathematically represented as

Making E the subject of the formula

Power can also be represented mathematically as

Where I is current and V is voltage

Therefore the formula for energy would be

From the question we are told that

Substituting 1 mA =  for I

9 volt for V

450 hr = for t