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  • A potentiometer wire AB as shown is 40 cm long of resistance 50 Ω/m free end of an ideal voltmeter is touching the potentiometer wire. What should be the velocity of the jockey as a function

A potentiometer wire AB as shown is 40 cm long of resistance 50 Ω/m free end of an ideal voltmeter is touching the potentiometer wire. What should be the velocity of the jockey as a function of time so that reading in voltmeter varies with times as (2 sin)?

Option: 1

10 sin cm/s 


Option: 2

10 cos cm/s 


Option: 3

20 sin cm/s 


Option: 4

20 cos cm/s


Answers (1)

best_answer

\mathrm{v_P=2\left[\frac{20+x}{40}\right]}

\mathrm{ v_Q=2 \\ }

\mathrm{ v_P-v_Q=\frac{x}{10} \\ }

\mathrm{ 2 \sin \pi r=\frac{x}{10} \\ }

\mathrm{ x=20 \sin \pi t \\ }

\mathrm{ \frac{d x}{d t}=(20 \pi \cos \pi t) \mathrm{cm} / \mathrm{s} }.

Posted by

shivangi.shekhar

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