Question

A temperature probe is initially (i.e., at time =0sec ) reading 72degF. Five seconds later it is immersed in a medium at 500degF. The time constant for this probe in that medium is known to be 1.5 seconds. a. Generate a plot of the probe's reading from time zero until the transient to 500degF can be considered complete

Answer 1

To generate a plot of the temperature probe's reading, we need to calculate the transient response of the system using the given time constant.

Step-by-step explanation:

In this question, we are given the initial temperature reading of a temperature probe, the temperature of the medium it is immersed in after 5 seconds, and the time constant for the probe in that medium.

The time constant is given by the equation t = RC, where R is the resistance of the probe and C is the capacitance of the system.

To generate a plot of the probe's reading from time zero until the transient to 500degF is complete, we need to analyze the transient response of the system.

The transient response is the time it takes for the temperature probe to reach a steady state after a change in temperature.

Using the given time constant of 1.5 seconds and the formula for the transient response of an RC circuit, we can calculate the response of the temperature probe over time and plot it.