an extremly long wire is uniformly charged . an electron is revolving about the wire and making 108 revolutions per second in an orbit of radius 2 cm. linear charge density of the wire is equal to
electric field produced by long wire at a distance r from it is given by
Ex=2kλ/r
Where λ is linear charge density of wire.
e- is revolving around this, Force on electron will be Fe=2kλ.e/r (Ex*e)
V=108*2πr=0.125*108m/s,m=mass of e-=9.109*10-31kg.
Charge of electon e-=1.6*10-19coulombs
Centripetal force (Fc)= mv2/r
K=9*109Nm2/sec2
centripetal force will be provided by electric field produced by charged wire.
Fe= Fc
2kλ.e/r = mv2/r
λ= mv2/2ke
λ=0.004*10-5C/m
Ex=2kλ/r
Where λ is linear charge density of wire.
e- is revolving around this, Force on electron will be Fe=2kλ.e/r (Ex*e)
V=108*2πr=0.125*108m/s,m=mass of e-=9.109*10-31kg.
Charge of electon e-=1.6*10-19coulombs
Centripetal force (Fc)= mv2/r
K=9*109Nm2/sec2
centripetal force will be provided by electric field produced by charged wire.
Fe= Fc
2kλ.e/r = mv2/r
λ= mv2/2ke
λ=0.004*10-5C/m