A conductor with resistance R carries a constant positive current and hence dissipates a power P = R "This causes the co

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A Conductor With Resistance R Carries A Constant Positive Current And Hence Dissipates A Power P R This Causes The Co 1 (39.94 KiB) Viewed 50 times

A conductor with resistance R carries a constant positive current and hence dissipates a power P = R "This causes the conductor to beat up above the ambient temperature Let T(0) denote the temperature of the conductor above the ambient temperature at time . T satisfies the equation dT + P dt where a > 0.6> 0 are thermal coefficients and P is the power dissipated in the conductor The resistance of the conductor changes with temperature according to R Ro(1+1) where the constante is called the resistance temperature coefficient of the conductor and Ro0 is the resistance of the conductor at ambient temperature. Consider a metal wire, for which e > 0. If the current is taller than critical value terit the temperature T converges to a steady-state value as t. If the current is larger than this critical value of current, then the temperature T goes to const goes too. (In practice, the temperature increases until the conductor is destroyed). This phenomenon is called thermal way Ansume a = 13°C,604 WPC. Ro= 100 and e=0010C Find the critical value for, above which thermal run way occurs. Enter your answer, in Amperes (A), to 2 decimal places in the box below Enter the numerical value only without