A circuit consists of a 12 V battery and a light bulb hooked up in series. The light bulb is composed of a filament which is a cylindrical piece of metal with a resistivity of p0​= 2.4×10^−4Ωm at 20∘C and a temperature coefficient of α=5.6( ∘ C)−1 , a radius of .25 mm, and a length of 2.5em. (a) What is the voltage across the light bulb? What is its resistance at 20∘C ? (b) What is the current going through the light bulb at 20∘C. How much power is it radiating? (c) After the light bulb has been left on for some time, its temperature inerenses to 50∘C. Now find its voltage, resistance, current, and power.