Question

A battery is rated at 12 V and 160 A-h. How much energy does the battery store? What is the cost of this energy at $0. 15/kWh?

Answer 1

Answer:

The cost of energy is 0.29$.

Explanation:

Given that,

Voltage V= 12 V

Charge Q= 160 A-h

We need to calculate the energy

Using formula of energy

$E = Pt$

$E =VIt$

Where, E = energy

I= current

V = Potential

t = time

Put the value into the formula

$E = 12\times160\times3600$

$E =6.9\times10^{6} J$

The cost of this energy at 0.15/kwh

$Total\ cost = Energy\times 0.15 kwh$

Here, Energy = power x time

In units,

$J=watt\times s$

But ,  Energy in 1 hour is:

$E = 1920\ J$

So, The cost of this energy is

$Total\ cost =1920\dfrac{\times0.15}{1000}$

$total\ cost = 0.29$

Hence, The cost of energy is 0.29$.