Question

A conductor carries a current of 0.4A Find the amount of charge that pass through the cross section of the conductor in 1.5 minutes. How many electrons will flow in this time intervel?

Answer 1

THERE IS THE SOLUTION FOR YOUR QUESTION.


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Answer 2

Given:

• Current = 0.4 Ampere
• Time = 1.5 min = 90 seconds.

To find:

• Charge flown ?
• Number of electrons travelling in that time?

Calculation:

• Current is defined as the rate of charge flow across the cross-sectional area of a conductor.

Mathematically, we can say :

$i = \dfrac{q}{t}$

$\implies \: q = i \times t$

$\implies \: q = 0.4 \times 90$

$\implies \: q =36 \: coulomb$

Now, the number of electrons :

$no. \: of \: {e}^{ - } = \dfrac{q}{e}$

$\implies no. \: of \: {e}^{ - } = \dfrac{36}{1.6 \times {10}^{ - 19} }$

$\implies no. \: of \: {e}^{ - } =22.5 \times {10}^{ 19}$

So, the charge flown is 36 C and number of electrons is 22.5 × 10¹⁹.