A steady electric current of 2.5\,\text{A} flows through a conductor for 4.0\,\text{minute… — JAMB UTME

A steady electric current of $2.5\,\text{A}$ flows through a conductor for $4.0\,\text{minutes}$ . What is the total electric charge that passes through any cross-section of the conductor during this period?

A
$10\,\text{C}$
B
$96\,\text{C}$
$600\,\text{C}$ Answer
D
$150\,\text{C}$

Answer

600\,\text{C}

Electric current (

I

) is defined as the rate of charge flow (

Q

) per unit time (

t

), expressed as

Q = I \times t

. Converting

4.0\,\text{minutes}

into seconds gives

4.0 \times 60 = 240\,\text{s}

. Multiplying the current of

2.5\,\text{A}

240\,\text{s}

yields

600\,\text{C}

Step-by-Step Solution

Convert the time duration from minutes to seconds

t = 4.0\,\text{minutes} = 4.0 \times 60\,\text{s} = 240\,\text{seconds}

The standard SI unit for time in electromagnetism formulas is seconds.

Apply the formula relating electric charge, current, and time (

Q = I \times t

)

Q = 2.5\,\text{A} \times 240\,\text{s} = 600\,\text{C}

Electric current is defined as the rate of flow of electric charge (

I = \frac{Q}{t}

Key Concept

Relationship between Electric Current, Charge, and Time

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