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Zorluk: KolayElectric Current and Resistance

An electric iron draws a steady current of 2.5 A2.5\,\text{A} when connected to a mains supply. What total electric charge passes through the heating element of the appliance in 2.0 minutes2.0\,\text{minutes}?

  1. A
    5.0 C5.0\,\text{C}
  2. B
    48 C48\,\text{C}
  3. 300 C300\,\text{C}Cevap
  4. D
    600 C600\,\text{C}

Cevap

The total electric charge passing through the heating element is 300 C300\,\text{C}.
Electric charge QQ is calculated using the formula Q=I×tQ = I \times t. Converting 2.0 minutes2.0\,\text{minutes} into seconds gives 120 s120\,\text{s}. Multiplying the current of 2.5 A2.5\,\text{A} by 120 s120\,\text{s} gives 300 C300\,\text{C}.

Adım Adım Çözüm

1
Convert the given time duration from minutes into seconds.
t=2.0 minutes×60 s/min=120 st = 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.
2
Apply the electric charge formula Q=I×tQ = I \times t.
Q=2.5 A×120 s=300 CQ = 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.

Anahtar Kavram

Electric Current and Charge Relationship
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