Question

Find number of electrons flowing through a wire in 4 seconds if 10^6 nA current is flowing through it​

Answer 1

Answer:

• Number of electrons flowing through the wire = 25 × 10¹⁸ electrons

Explanation:

Given

• Current through the wire, I = 10⁶ μA
• Time for which current flowed, t = 4 s

To find

• Number of electrons flowing through the wire in given time, n = ?

Knowledge required

• Relation between Current (I) , charge (Q) and time (t)

        I = Q / t

• Number of electrons constituting 1 Coulomb of charge

      1 C charge contain 6 .25 × 10¹⁸ electrons

Solution

Given current is

→ I = 10⁶ μA

→ I = 10⁶ × 10⁻⁶ A

→ I = 1 A

Calculating charge through the wire (Q=?)

Using formula

→ I = Q / t

→ Q = I t

→ Q = ( 1 ) ( 4 )

→ Q = 4 C

Calculating number of electrons through the wire (n=?)

→ n = (Q) · (number of electrons constituting 1 C charge)

→ n = ( 4 ) · ( 6.25 × 10¹⁸ )

→ n = 25 × 10¹⁸ electrons  

Therefore,

• 25 × 10¹⁸ electrons will be flowing through the wire.

Answer 2

Answer:

Given : -

• a wire in 4 seconds

• if 10^6 nA current is flowing through it

To find : -

• number of electrons

Solution : -

1 C charge contain 6 .25 × 10¹⁸ electrons

I = 10⁶ μA

l = 10⁶ × 10⁻⁶ A

I = 10,00,00,00 × - 10,00,00,00

l = 1 A

we have :

Q = I t

Q = 1 × 4

Q = 4

we have :

n = q × number of electrons constituting 1 C charge

n = 4 × 6.25 × 10¹⁸

n = 25 × 10¹⁸

Hence the answer is n = 25 × 10¹⁸

More information : -

Current :

• An electric current is a flow of electric charge. 

• It can also be carried by ions in an electrolyte, or by both ions and electrons such as in an ionised gas.

• The rate of flow of charge is called as " Current ".