Question

How many electrons flow through a battery that delivers a current of 4.0 A for 12 s?a- 4.0 × 1020b- 3.0 × 1020c- 4.8 × 1015d- 2.2 × 1020e- 6.4 × 1018

Answer 1

Given:

The current flowing in the circuit is I = 4 A

The time duration is t = 12 s

Required: Number of electrons flowing through the circuit.

Step-by-step explanation:

First, we need to calculate the charge flowing in the circuit.

The charge flowing in the circuit can be calculated by the formula

`\begin{gathered} I=(q)/(t) \\ q=I* t \end{gathered}`

On substituting the values, the charge will be

`\begin{gathered} q=4*12 \\ =48\text{ C} \end{gathered}`

The number of electrons can be calculated by the formula

`\begin{gathered} q=ne \\ n=(q)/(e) \end{gathered}`

Here n is the number of electrons

e is the charge on one electron whose value is

`e=1.6*10^(-19)\text{ C}`

On substituting the values, the number of electrons will be

`\begin{gathered} n=(48)/(1.6*10^(-19)) \\ =3*10^(20)\text{ } \end{gathered}`

Final Answer: There are 3e20 electrons flowing through the battery.