The current through a motor is 210 A. If a battery keeps a 12.0 V potential difference across the motor, what electric energy is delivered to the motor in 10.0 s?

Question

asked Apr 28, 2023 73.9k views

1 Answer

Sefan · Answer 1 · 2023-05-05T05:37:50+0000

Given:

the current through motor is

$I=210\text{ A}$

The potential of the battery is

$V=12\text{ V}$

The time is

$t=10\text{ s}$

Required: the energy delivered to the motor in 10 sec is?

Explanation:

first, we calculate the power delivered to the motor.

The power is given by

Plugging all the values in the above relation, we get:

$\begin{gathered} P=12\text{ V}*210\text{ A} \\ P=2520\text{ watt} \end{gathered}$

The energy delivered to the motor is given by

Plugging all the values in the above relation, we get:

$\begin{gathered} E=2520\text{ w}*10\text{ s} \\ E=25200\text{ J} \\ \end{gathered}$

Thus, the energy delivered to the motor is 25200 J.