High School

A constant current of 3 A for 4 hours is required to charge an automotive battery. If the terminal voltage is [tex]10 + \frac{t}{2}[/tex], where [tex]t[/tex] is in hours, how much charge is transported as a result of the charging?

Answer :

Final answer:

In this case, the total charge transported as a result of charging an automotive battery for 4 hours with a constant current of 3 A is 43,200 Coulombs.

Explanation:

To determine how much charge is transported as a result of charging an automotive battery, we need to use the concept of electrical current.

By definition, electric current, denoted by I, is the amount of charge, denoted by Q, transported per unit time, denoted by t.

The formula for current is I=Q/t.

We are given that the constant current for 4 hours is 3 A.

Using the formula gives Q = It, which means that the total charge transported is (3 A) * (4 hours * 3600 seconds/hour) = 43,200 Coulombs.

This result is independent of the terminal voltage, because the current needed to charge the battery was given to be constant.

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