Q.

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

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
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)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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
Watch 3-min video & get full concept clarity
Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

Related Blogs
Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
Result Producing online coaching for JEE/NEET of south India
Largest All India Test Series for JEE/NEET
Best Books for IIT JEE
Best Books for NEET
whats app icon
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