a total electricity flow of 5amps was passes through a metallic conductor for a time period of of 30 sec. calculate the total charge flow and the approximate number of electrons passed through the conductor. consider that 1 Coulomb charge contained in nearly 6 × 10^18 electrons.
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Given :
Current flow = 5A
Time interval = 30s
To Find :
Total charge flow and the approximate number of electron passed through the conductor.
Solution :
❒ Current flow is defined as the rate of charge flow in conductor per unit time
Mathematically, I = Q / t
Where,
>> I denotes current
>> Q denotes charge
>> t denotes time
- It is a scalar quantity having only magnitude.
- It can't be negative.
- SI unit : A (ampere)
By substituting the given values;
➠ I = Q / t
➠ 5 = Q / 30
➠ Q = 30 × 5
➠ Q = 150 C
❒ Number of electrons passed :
As per law of quantization, Q = n × e
- Q denotes charge
- n denotes number of electron
- e denotes charge of one electron
➠ Q = n × e
➠ 150 = n × (1.6 × 10‾¹⁹)
➠ n = (150/1.6) × 10¹⁹
➠ n = 9.38 × 10²⁰
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