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An infinitely long positively charged straight …

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An infinitely long positively charged straight wire has a linear charge density lambda C/cm. An electron is revolving around the wire as it's centre with a constant velocity in a circular plane perpendicular to the wire . Deduce the expression for its kinetic energy . Plot a graph of the kinetic energy as a function of lambda .

Posted by Govind Rautela 7 years, 7 months ago

CBSE > Class 12 > Physics

2 answers

Gurvinder Kaur 7 years, 3 months ago

ELECTRIC FIELD due to the infinitely long positively charged wire,

E=λ/2π ε0 r

also the centripetal force required by the electron to revolve is given by

F1=(mv^2)/r ---(1)

the electrostatic force of attraction between the electron and wire

F2=eE

F2=eλ/2π ε0 r ---(2)

now,

equate 1 and 2 and try to get an expression for kinetic energy in terms of (mv^2)/2

the plot should be a straight line as both the quantities are directly proportional to each other

Govind Rautela 7 years, 7 months ago

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