Question

If \[18,400\;C\;\] of charge flows through an air conditioning unit every hour, what current does it draw?
A.\[5.11A\]
B.\[5.8A\]
C.\[4.1A\]
D.\[6A\]

Answer 1

Hint: Given in the question the number of charges flows and also the time taken for the charge to flow through. The electric current is defined as the rate of change of charge flow. Therefore, every data we need to calculate the current is already given in the question. Therefore, we need to first write the formula and then substitute all the values and then we will arrive at the desired answer.
Formula used:
\[ \Rightarrow I = \dfrac{Q}{t}\]
Here, $I$ is the current
$Q$ is the number of charges
$t$ is the total time taken.

Complete answer:
Given the total number of charges that flows through the air conditioner as,
\[ \Rightarrow Q = 18,400\;C\]
Also, the time taken for these charges to flow is given as one hour that is equal to,
 \[ \Rightarrow t = 60 \times 60 = 3600s\]
Therefore substituting all these in the above-given formula we get,
\[ \Rightarrow I = \dfrac{{18,400}}{{3600}}\]
\[ \Rightarrow I = 5.11A\]
Therefore the total current drawn by the air conditioning unit every hour is \[5.11A\].

Therefore the correct option is A.

Additional Information:
Electric current can also be defined as the stream of charged particles that moves through an electrical conductor or space. The charged particles here are referred to as positive and negative charge

Note:
The flow of current depends upon the medium of the conductor. For example, we say that the electric current flows through the conductor here the flow of current will be due to the electrons. If it is the medium is a superconductor then the flow of current will be due to the electrons or holes. If it flows through an electrolyte then the flow of current is due to the ions and so on.