Question

a current of 10A is flowing through a conductor. how much time will be needed for 3 electron to pass through it?
​

Answer 1

Answer

Time = 4.8 × 10⁻²⁰ s

Given

A current of 10 A is flowing through a conductor

To Find

Time needed for 3 electrons to pass through conductor

Concept Used

→ Current

It is defined as rate at which charge flows through a surface ( having cross sectional area )

$\bigstar \;\; \rm I=\dfrac{q}{t}$

where ,

• q = n e

• n = + ve or - ve charge

• e = electron , 1.6 × 10⁻¹⁹

SI unit of current is Ampere

SI unit of charge is Columb

SI unit of time is second

Solution

Current , I = 10 A

Time , t = ? s

n = 3

e = 1.6 × 10⁻¹⁹

Apply formula ,

$\to \rm I=\dfrac{q}{t}\\\\\to \rm I=\dfrac{n\ e}{t}\\\\\to \rm 10=\dfrac{3\times 1.6\times 10^{-19}}{t}\\\\\to \rm 10t=4.8\times 10^{-19}\\\\\to \rm t=0.48\times 10^{-19}\ s\\\\\to \rm t=4.8\times 10^{-20}\ s$

So , time needed for 3 electron to pass through conductor is ,

t = 4.8 × 10⁻²⁰ s