Question

6×10^17 electrons cross through an area per minute. What is the electric current?

Answer 1

Given,

Number of electrons = 6×10¹⁷  

Time = 1 min  

To find,

The electric current  

Solution,

We can simply solve this numerical problem by using the subsequent process  

Now,  

Number of electrons (n) = 6×10¹⁷  

Time (t) = 1 min = 60sec  

e = 1.6×10⁻¹⁹ C  (constant)

Current (I) = ?  

As we know that,  

q = ne  

where,  

q = Charge, n = Number of electron, & e = Specific charge of electron  

e = 1.6×10⁻¹⁹ C  

q = 6×10¹⁷×1.6×10⁻¹⁹ C  

q = 9.6×10⁻² C  

We also know that,

I = q/t  

where,  

I = current, q = charge & t = time  

I = 9.6×10⁻² C / 60 sec  

I = 1.6×10⁻³ A

Hence, the required electric current is 1.6×10⁻³ A