Prove this equation using fields: show F=Bqv

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Homework Statement


Use equations F=BIl I=nAqv show F=Bqv, (help: the no. of particlees in a length l of wire cross-section area A is nAl, when the no. of particlees per unit volume is n)

Homework Equations


F=BIl I=nAqv F=Bqv

The Attempt at a Solution



F=B(nAqv)l
F=B(nnAlqv)l
F=B(n2Al2qv
F=B(n2Al2Itl/t
F=B(n2Al2Il
F=B(n2Al3I

I'm stuck after this, help asap appreciated.
 
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It is quite hard to distinguish small L from big i, fixed it below:

Given:
F=BIL
I=nAqv this should read NAqv where N is the total number of charges
number of charges N in a length L of wire cross-section area A is N = nAL, when the number of charges per unit volume is n

Can you give it another try now?