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 8 years, 2 months ago
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Gurvinder Kaur 7 years, 11 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
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