An electrically heated process is known to exhibit second-order dynamics with the following parameter values:K=3∘C/kW, ?=3 min, ζ=0.7. If the process initially is atsteady state at 70∘C with heater input of 20 kW and the heaterinput is suddenly changed to 26 kW and held there,(a)Derive an expression for the measured temperature as afunction of time.(b)What will be the maximum observed temperature? Whenwill it occur?

An electrically heated process is known to exhibit second-order dynamics with the following parameter values:K=3∘C/kW, ?=3 min, ζ=0.7. If the process initially is atsteady state at 70∘C with heater input of 20 kW and the heaterinput is suddenly changed to 26 kW and held there,(a)Derive an expression for the measured temperature as afunction of time.(b)What will be the maximum observed temperature? Whenwill it occur?

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