Q.Two ends A and B of a rod of length 20cm have the temperature at 40° ° °C and 90° ° °C respectively until steady state prevails. After the steady state has prevailed, the temperature at the ends A and B are changed to 45° ° °C and 95° ° °C respectively. The temperature distribution in the root at time t is given by () ∑ 2 k(2m–1π – t 20 m=1 2m –1 πx 20 µ x,t = Ax + B + sin.e 2m –1 π 20 ∞ where:
Correct answer: 5 A,B 45 2 =