Solution Found!
The circuit shown in Figure DP 3-10 contains a thermistor that has a resistance R0 = 620
Chapter 3, Problem DP 3-10(choose chapter or problem)
The circuit shown in Figure DP 3-10 contains a thermistor that has a resistance \(R_0=620 \Omega\) at the temperature \(T_0=20^{\circ} \mathrm{C}=293{ }^{\circ} \mathrm{K}\) and \(\beta=3330^{\circ} \mathrm{K}\). (See problem DP 3-9.) Design this circuit (that is, specify the values of R and \(V_{\mathrm{s}}\)) so that the thermistor voltage is \(v_{\mathrm{T}}=4 \mathrm{~V}\) when \(T=100^{\circ} \mathrm{C}\) and \(v_{\mathrm{T}}=20 \mathrm{~V}\) when \(T=0^{\circ} \mathrm{C}\).
Questions & Answers
QUESTION:
The circuit shown in Figure DP 3-10 contains a thermistor that has a resistance \(R_0=620 \Omega\) at the temperature \(T_0=20^{\circ} \mathrm{C}=293{ }^{\circ} \mathrm{K}\) and \(\beta=3330^{\circ} \mathrm{K}\). (See problem DP 3-9.) Design this circuit (that is, specify the values of R and \(V_{\mathrm{s}}\)) so that the thermistor voltage is \(v_{\mathrm{T}}=4 \mathrm{~V}\) when \(T=100^{\circ} \mathrm{C}\) and \(v_{\mathrm{T}}=20 \mathrm{~V}\) when \(T=0^{\circ} \mathrm{C}\).
ANSWER:
Step 1 of 3
As given in problem DP 3.9,The thermistor resistance is related to the temperature by the equation:
Thus, at
and at
Therefore, we can write that at and at .