Question

A displacement transducer with a shaft stroke of 3.0 inches, is applied to the circuit given below. The total resistance of the potentiometer is 5 $k\Omega$. The applied voltage $V_t$ is 5 V. When the wiper is 0.9 inches from B, the value of output voltage is

• A. 1.5 V
• B. 3.0 V
• C. 0.5 V
• D. 2.0 V

Answer 1

The correct option is A 1.5 V

$R_2=\frac{0.9in}{3.0in}\times 5k=\frac{9}{30}\times 5k=1500\Omega$

$\frac{V_0}{V_t}=\frac{R_2}{R_1+R_2};$

$V_0=\left(\frac{R_2}{R_1+R_2}\right)\times V_t=\frac{1500}{5k}\times 5V$

$=\frac{1500}{1k}=1.5V$