Question

What is the current in milliamperes produced by the solar cells of a pocket calculator through which \({\bf{4}}{\bf{.00}}\;{\bf{C}}\) of charge passes in \({\bf{4}}{\bf{.00}}\;{\bf{h}}\)?

Short answer

The current in milliamperes produced by the solar cells of a pocket calculator is\(0.278\;{\rm{mA}}\).

Step-by-step solution

Identification of the given data

The given data can be listed below as,

• The value of electric charge is,\(Q = 4.00\;{\rm{C}}\)
• The time interval is, \(t = 4.00\;{\rm{h}}\)

Significance of electric current

Whenever an electric charge moves through a conducting medium in a specific time interval, electric current moves through the medium. The relation between the electric charge and electric current is a linear one.

Determination of the electric current produced by a solar cell

The relation to calculate the current in milliamperes produced by the solar cells of a pocket calculator is expressed as,

\(\begin{aligned}Q = It\\I = \frac{Q}{t}\end{aligned}\)

Here,\(I\)is the current in milliamperes produced by the solar cells of a pocket calculator.

Substitute all the known values in the above equation.

\(\begin{aligned}I = \left( {\frac{{4.00\;{\rm{C}}}}{{4.00\;{\rm{h}}}}} \right)\left( {\frac{{\frac{1}{{3600}}\;{\rm{C/s}}}}{{1\;{\rm{C/h}}}}} \right)\left( {\frac{{{{10}^3}\;{\rm{mA}}}}{{1\;{\rm{C/s}}}}} \right)\\ \approx 0.278\;{\rm{mA}}\end{aligned}\)

Thus, the current in milliamperes produced by the solar cells of a pocket calculator is\(0.278\;{\rm{mA}}\).