Answered

In a wire with a 1.35 1.35 mm2 cross-sectional area, 5.41 × 10 20 5.41×1020 electrons flow past any point during 2.19 2.19 s. What is the current in the wire?

Answer :

Answer:

The current in the wire = 39.53 A.

Explanation:

The given cross -sectional area of the wire  = 1.35 [tex]mm^2[/tex].

The number of electrons flowing in the wire at any point is  

= 5.41 [tex]\times 10^{20}[/tex] electrons.

The charge of an electron is known to be  = [tex]1.6 \times 10^{-19} \hspace{0.1cm} Coulombs[/tex]

The electronics flow across the wire for a time of, t = 2.19 seconds.

The current in the wire  = (number of electrons) × [tex]\frac{charge \hspace{0.1cm} of \hspace{0.1cm} an \hspace{0.1cm} electron}{time}[/tex]

                                       = 5.41 [tex]\times 10^{20}[/tex] × [tex]\frac{1.6 \times 10^{-19}}{2.19}[/tex]

                                       =  39.53 A.

The formula for current is actually, i = [tex]\frac{dq}{dt}[/tex]  .  

The (number of electrons )×(charge of an electron) will equal the total charge flowing through the wire in the given time  = 2.19 seconds.

The current in the wire = 39.53 A.

Other Questions