The circuit shown in Figure DP 3-10 contains a thermistor that has a resistance R0 = 620

Chapter 3, Problem DP 3-10

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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 \(T=0^{\circ} \mathrm{C}\).

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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 .

 

 

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