a conducting wire carries 10^21 electrons and in 4 minutes what is the charge flowing through the wire. a). 150C b). 300C c). 600

1 thought on “a conducting wire carries 10^21 electrons and in 4 minutes what is the charge flowing through the wire. a). 150C b). 300C c). 600”

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   [tex] \: \: \: \: \: \: \: \underline{\boxed{ \frak{\pmb{ \: Given: – }}}} [/tex]

   • Number of electrons = 10²¹ electrons
   • Time taken (t)= 4 mins = 240 s

   [tex] \: \: \: \: \: \: \: \: \underline{\boxed{ \frak{\pmb{ \:To \: find:- \: }}}}[/tex]

   • What is the charge flowing through the wire.

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   [tex] \: \: \: \: \: \: \: \: \underline{\boxed{ \frak{\pmb{ \:Solution:- \: }}}}[/tex]

   • First we have to find the charge of the conductor.

   • By quantization of charges we know that

   [tex] \: \: \: \: \: \: \: \: \underline{ \boxed{\sf\: q = n}}[/tex]

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   where e = charge of an electron = 1.6 × 10⁻¹⁹ C

   ◕ Substituting the datas we get :–

   q = 10²¹ × 1.6 × 10⁻¹⁹

   q = 1.6 × 10² C

   ߷︎ The current flowing through a conductor is given by :

   [tex] \: \: \: \sf \: I = \dfrac{q}{t} [/tex]

   ◕ Next, Substituting the datas :–

   [tex] \: \: \: \red\longmapsto\sf \: I = 1.6 × \dfrac{10²}{240} [/tex]

   [tex] \: \: \: \: \red \longmapsto \underline{\boxed{\sf \: I = 0.67 ≈ 0.7 A}}[/tex]

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   ‎ ‎ ‎ ‎ ‎‎❍ Hence current flowing through the conductor is 0.7 A.

   [tex] \: \: \: \: ❍ \: \underline{\boxed{\rm{Current=0.7\:A}}}[/tex]

   ★ Therefore, option d is correct.

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