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Every minute, 120 C of charge flow through this cross section of the wire.The wire’s current is:
A) 120A
B) 240A
C) 2A
D) Some Other value
E) 60A
♦ Relevant knowledgeElectricity can be described by the current and voltage. The voltage is the measure of the differences in the electric potential between two points. In addition, the current is a measure of the amount of charge flowing through a particular medium.
To solve the problem, you will need to have current and charge concepts.
First convert the time in minutes into seconds. To find the wire’s current, use the formula for current. This is the charge per unit of time.
Current is the charge that flows per unit of time. Current is represented mathematically by,
[katex]i = \frac{{dq}}{{dt}}[/katex]
i means current, q refers to charge and t indicates the time when the charge flow is measured.
120 C of charge flows through the wire every minute.
But, [katex]\begin{array}{c}\\1\;{\rm{minute}} = \left( {\frac{{60\;{\rm{seconds}}}}{{1\;{\rm{minute}}}}} \right)1\;{\rm{minute}}\\\\1\;\min = 60\;\sec \\\end{array}[/katex]
The mathematical expression for current is:
[katex]i = \frac{{dq}}{{dt}}[/katex]
The right-hand side is the equation that states that the change in charge relative to the current gives current.
Substitute 120 C dq for 60 s dt.
[katex]\begin{array}{c}\\i = \frac{{120\;{\rm{C}}}}{{60\;{\rm{s}}}}\\\\ = 2\;{\rm{A}}\\\end{array}[/katex]
The current that flows through the wire is 2 A.
Ans: The current through the wire is 2 A.