An electric iron draws a steady current of 2.5\,\text{A} when connected to a mains supply.… — JAMB UTME

An electric iron draws a steady current of $2.5\,\text{A}$ when connected to a mains supply. What total electric charge passes through the heating element of the appliance in $2.0\,\text{minutes}$ ?

A
$5.0\,\text{C}$
B
$48\,\text{C}$
$300\,\text{C}$ Answer
D
$600\,\text{C}$

Answer

The total electric charge passing through the heating element is

300\,\text{C}

Electric charge

Q

is calculated using the formula

Q = I \times t

. Converting

2.0\,\text{minutes}

into seconds gives

120\,\text{s}

. Multiplying the current of

2.5\,\text{A}

120\,\text{s}

gives

300\,\text{C}

Step-by-Step Solution

Convert the given time duration from minutes into seconds.

t = 2.0\,\text{minutes} \times 60\,\text{s/min} = 120\,\text{s}

Standard units require time to be measured in seconds when evaluating charge in coulombs.

Apply the electric charge formula

Q = I \times t

Q = 2.5\,\text{A} \times 120\,\text{s} = 300\,\text{C}

Electric current is defined as the total charge passing a given cross-section per unit time.

Key Concept

Electric Current and Charge Relationship

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Key Concept

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