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Question 1: Potentiometer Loading and Resis- tance Temperature Effects A potentiometer shown in Figure 1 has a nominal resistance of $R_p = 5k\Omega$ and a thermal coefficient of resistance, $\alpha = 200[ppm/^{\circ}C]$. (a) What is the minimum desired load resistance $R_L$ connected at the wiper such that the resultant error is less than 0.1\% of full scale for a 5[V] source? Consider the point $\frac{x}{x_{max}} = 0.7$. (b) What will be the change in resistance of the potentiometer for a temperature rise of 50$^{\circ}$C? Note that $\alpha$ is specified for 0$^{\circ}$C.

          Question 1: Potentiometer Loading and Resis-
tance Temperature Effects
A potentiometer shown in Figure 1 has a nominal resistance of $R_p = 5k\Omega$ and a thermal coefficient of resistance, $\alpha = 200[ppm/^{\circ}C]$.
(a) What is the minimum desired load resistance $R_L$ connected at the wiper such that the resultant error is less than 0.1\% of full scale for a 5[V] source? Consider the point $\frac{x}{x_{max}} = 0.7$.
(b) What will be the change in resistance of the potentiometer for a temperature rise of 50$^{\circ}$C? Note that $\alpha$ is specified for 0$^{\circ}$C.

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Question 1: Potentiometer Loading and Resis-
tance Temperature Effects
A potentiometer shown in Figure 1 has a nominal resistance of Rp = 5kΩ and a thermal coefficient of resistance, α = 200[ppm/^∘C].
(a) What is the minimum desired load resistance RL connected at the wiper such that the resultant error is less than 0.1% of full scale for a 5[V] source? Consider the point (x)/(xmax) = 0.7.
(b) What will be the change in resistance of the potentiometer for a temperature rise of 50^∘C? Note that α is specified for 0^∘C.

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University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Kamlesh Goyal

Step 1

Rp = 5 kΩ. α = 200 ppm/°C = 200×10^-6 /°C. Vs = 5 V. x/x_max = 0.7 → set x = 0.7 and β = 1 − x = 0.3. Allowed error = 0.1% of full scale = 0.001 × 5 V = 0.005 V, i.e. a normalized allowed error e_max = 0.001 (fraction of Vs). Show more…

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Question 1: Potentiometer Loading and Resistance Temperature Effects A potentiometer shown in Figure 1 has a nominal resistance of Rp = 5k and a thermal coefficient of resistance, Î± = 200[%/Â°C]. (a) What is the minimum desired load resistance Rl connected at the wiper such that the resultant error is less than 0.1% of full scale for a 5V source? Consider the point Î± = 0.7. xma (b) What will be the change in resistance of the potentiometer for a temperature rise of 50Â°C? Note that Î± is specified for 0Â°C. Slider 2 Load V V RL VL 3 3 Figure 1: Generic schematic of a potentiometer and desired load impedance

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