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Question

A wire-wound ‘resistive potentiometer type' angle sensor with 72 turns is used in an application. The first turn of the potentiometer is connected to ground while its last turn is connected to 3.6 V. The width of the wiper covers two turns ensuring make-before-break. The output (wiper) voltage when the wiper is on top of both the turns 35 and 36 is ________ V (rounded off to two decimal places).

Potentiometer Voltage Calculation

This solution explains the calculation of output voltage for a wire-wound angle sensor potentiometer.

Potentiometer Parameters

  • Total Turns: 72
  • Voltage Range: 0 V (Ground) to 3.6 V
  • Total Voltage Swing: $3.6 \text{ V}$
  • Wiper Position: On turns 35 and 36

Voltage Resolution Calculation

The voltage is distributed uniformly across all turns. The voltage change per turn ($V_{per\_turn}$) is:

$V_{per\_turn} = \frac{3.6 \text{ V}}{72 \text{ turns}} = 0.05 \text{ V/turn}$

Wiper Position Determination

The wiper spans turns 35 and 36. The effective position is the average turn number:

$Effective\_turn = \frac{35 + 36}{2} = 35.5$

Final Output Voltage

Calculate the output voltage ($V_{out}$) using the effective turn position:

$V_{out} = Effective\_turn \times V_{per\_turn}$

$V_{out} = 35.5 \times 0.05 \text{ V} = 1.775 \text{ V}$

Rounded to two decimal places, the output voltage is 1.78 V.

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Important Questions from Resistive Transducers

  1. Which of the following is NOT an advantage of LVDT?

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  3. In the force transducer shown in Figure (a), four identical strain gauges S1, S2, S3, and S4 are mounted on a cantilever at equal distance from its base. S1 and S2 are mounted on the top surface and S3 and S4 are mounted on the bottom surface, as shown in the Figure (a). These strain gauges are to be connected to form a Wheatstone bridge consisting of four arms A, B, C, and D, as shown in the Figure (b). From the following options, the correct order to maximize the measurement sensitivity is

  4. A metallic strain-gauge (SG) with resistance $R_{SG}$ is connected as shown in the figure, where $R_{L1}$, $R_{L2}$, $R_{L3}$ represent the lead wire resistances. The SG has a gauge factor of 2 and nominal resistance $R_N$ of 125 $\Omega$. When the SG is subjected to a tensile strain of $2 \times 10^{-3}$, the resulting change in $R_{SG}$ is $\Delta R$. The $\Delta R$ value is measured as $\Delta R_{MEAS} = R_{EQ2} - R_{EQ1}$. The $R_{EQ1}$ and $R_{EQ2}$ are the equivalent resistances measured between the terminals 1 and 2, and terminals 2 and 3, respectively.
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  5. A strain gauge is attached on a cantilever beam as shown. If the base of the cantilever vibrates according to the equation \[ x(t) = \sin \omega_1 t + \sin \omega_2 t, \] where \(2~\text{rad/s} < \omega_1, \omega_2 < 3~\text{rad/s}\), then the output of the strain gauge is proportional to 

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