Question

If 1.80×10²⁰ electrons move through a pocket calculator during a full day’s operation, how many coulombs of charge moved through it?

Short answer

The charge moved during a full day’s operation of pocket calculator is-28.8 C.

Step-by-step solution

Quantization of charge

According to the quantization of charge, charge can never be in a fraction of electron’s charge, It is always an integral multiple of charge on electron.

Coulombs of charge moved

The charge moved during a full day’s operation of pocket calculator is calculated by using quantization of charge.

According to the quantization of charge,

Q = ne

Here, is the total charge moved,n is the number of electrons move through a pocket calculatorQ during a full day’s operation$\left(n=1.80\times {10}^{20}\right)$, and is the charge on electron$\left(e=-1.6\times {10}^{-19}C\right)$.

Substituting all known values,

$$\begin{gathered} Q=\left(1.80\times {10}^{20}\right)\times \left(-1.6\times {10}^{-19}C\right) \\ =-28.8C \end{gathered}$$

Hence, the charge moved during a full day’s operation of pocket calculator is -28.8 C.