The temperature coefficient of resistance of conductor varies as `alpha(T) = 3T^2 +2T.` If `R_0` is resistance at T = 0and R is resistance at T, then

The temperature coefficient of resistance of a wire is 0.00125^@ C^(-1) w.r.t temperature at 300 K at which the resistance of the wire is one ohm. Find the temperature at which the resistance of the wire will be 2 ohm.

IF rho is the resistivity at temperature T, then the temperature coefficient of resistivity is defined as alpha=(1drho)/(rhodT) , which is a constant physical quantity for a given metal, show that rho=rho_0e^(a(T-T_0)), where rho_0 = resistivity at temperature T_0 .

Obtain a general relationship between temperature coefficient of resistance alpha_(1) and alpha_(2) at temperature T_(1) .^@C and T_(2) .^@C for a given conductor.

Two wires of resistance R_(1) and R_(2) at 0^(@)C have temperature coefficient of resistance alpha_(1) and alpha_(2) respectively. These are joined in series. The effective temperature coefficient of resistance is :

Resistance of a resistor at temperature t^@C is R_t =R_0 (1+alphat + betat^2) , where R_0 is the resistance at 0^@C . The temperature coefficient of resistance at temperature t^@C is

Resistance of a resistor at temperature t^@C is R_t =R_0 (1+alphat + betat^2) , where R_0 is the resistance at 0^@C . The temperature coeffcient of resistance at temperature t^@C is