Potentiometer based:
Answer with explanation
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Answer:
2VR/Ro+4R
Explanation:
when the slide is in the middle of potentiometer, only half of its resistance i.e., Ro/2 will be between A and point of contact C (say R1) will be given by following expression,
1/R1= 1/R+1/Ro/2
R1=RRo/2R+Ro
The total resistance between A and B will be sum of resistance between A and C,and Cand B.
i.e., R1+Ro/2
Current flowing through potentiometer wilk be,
I=V/R1+Ro/2
=2V/2R1+Ro
The voltage V1 taken from potentiometer,
V1=IR1= 2V/2R1+Ro×R1
= 2V/ (2RRo/2R+Ro)+ Ro ×RRo/2R+Ro
= 2VR/Ro+4R
hope this answer helps you