A conductor in the shape of a cylinder of length l and cross sectional radius r is connected to a cell of emf V. The resistivity of the material of the conductor is rho and does not change much with temperature. The emissivity of the curved surface of the conductor is e. [Take emissivity of the flat circular surfaces to be zero]. In steady state the temperature of the conductor is T when the environmental temperature is T_(0). The difference between T and T_(0) is much smaller than the environmental temperature. Stefan’s Constant is sigma. Find the steady state temperature T for the conductor.

A conductor in the shape of a cylinder of length l and cross sectional

1.	A conductor in the shape of a cylinder of length l and cross sectional radius r is connected to a cell of emf V. The resistivity of the material of the conductor is rho and does not change much with temperature. The emissivity of the curved surface of the conductor is e. [Take emissivity of the flat circular surfaces to be zero]. In steady state the temperature of the conductor is T when the environmental temperature is T_(0). The difference between T and T_(0) is much smaller than the environmental temperature. Stefan’s Constant is sigma. Find the steady state temperature T for the conductor.
Answer» Answer :`T=T_(0)+(V^(2)R)/(8esigmarhol^(2)T_(0)^(3))`

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