JEE MainPhysicsCurrent Electricity
Consider a resistor network connected to a DC voltage source across terminals A and B . The network consists of 10 identical resistors, each of resistance R . The input terminal A is connected via a resistor to node C . From node C , the circuit splits into a rhombus-like structure with a top node E , a bottom node F , a center node O , and a right node D . Resistors are connected along CE , ED , CF , FD , CO , OD ,
Options
- A9
- B3
- C4
- D1 9
Correct answer
A. 9
Step-by-step solution
Let the total current entering terminal A be I . This entire current flows through the input resistor between A and C . The power dissipated in this resistor is P_ AC = I^2 R . At node C , the current splits into three paths: C E D , C O D , and C F D . Due to the symmetry of the network about the horizontal axis passing through A, C, O, D, B , the nodes E , O , and F are at the same potential ( V_E = V_O = V_F ). Consequently, no current flows through the vertical resistors EO and FO , and they can be removed from