Question

Name a device, which is useful to maintain a potential difference across a conductor like a bulb. When a potential difference of $10V$causes a current of $2A$ to flow for a time period of $1\min $, how much energy will be transferred?

Answer 1

Hint: The current flowing can be found by taking the ratio of the number of charge carriers to the time taken. Using this find the amount of charge carries in it. The work done can be found by taking the product of the potential difference and the charge moved. The energy transferred will be equivalent to the work done. This will help you in answering this question.

Complete step by step solution:
Any sources of electricity such as the power supply, battery, cell, and so on help to maintain a potential difference across a conductor.
The potential difference has been mentioned as,
$V=10V$
The current flowing can be written as,
$I=2A$
And the time taken can be shown as,
$t=1\min =60s$
The current flowing can be found by taking the ratio of the number of charge carriers to the time taken. That is we can write that,
$\begin{align}
  & I=\dfrac{Q}{t} \\
 & \Rightarrow Q=I\times t \\
\end{align}$
Substituting the values in it will give,
$Q=2\times 60=120C$
The work done can be found by taking the product of the potential difference and the charge moved. Therefore we can write that,
$W=V\times Q$
Substituting the values in it will give,
$W=120\times 10=1200J$
The device used to maintain the potential difference will be the battery and the energy transferred will be $1200J$. Therefore the answers have been obtained.

Note: Potential difference can be explained as the difference in the amount of energy that charge carriers are carrying in between two points in a circuit. The potential difference abbreviated as PD can be calculated in volts, $V$. Therefore this is otherwise known as voltage. The potential difference between any two positions can be described as the amount of work done in moving a unit charge from one location to another one.