The circuit diagram shown in figure consists of a large number of elements (each element has two resistors). The resistance of the resistors in each subsequent element differs by a factor of K=1/2 from the resistances of the resistors in the previous elements. The equivalent resistance between A and B shown in figure is
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
R1−R22
b
(R1−R2)+6R1R22
c
(R1−R2)+R12+R22+6R1R22
d
none of these
answer is C.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
When each element of the circuit is multiplied by a factor k, then the equivalent resistance also becomes k times. Le the equivalent resistance between A and B be x.So the equivalent circuit becomesX=R1+kXR2kX+R2For k=12, X=(R1−R2)+R12+R22+6R1R22