Figure 1 shows an electric car being recharged - AQA - GCSE Physics - Question 1 - 2021 - Paper 1

The equation linking energy transferred, power, and time is:

$E = P imes t$

To find the time taken to recharge the battery, we can rearrange the formula as follows:

$t = \frac{E}{P}$

Substituting the values:

$t = \frac{162{,}000{,}000 \, \text{J}}{7200 \, \text{W}}$

Calculating this gives:

t = 22,500 , ext{s}.

The equation linking current, potential difference, and resistance is:

$V = I \times R$

Using the formula:

$R = \frac{V}{I}$

Substituting the given values:

$R = \frac{480 \, ext{V}}{15 \, ext{A}}$

Calculating this gives:

R = 32 , \Omega.

The time taken using charging system A is double the time of system B.