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JEE Main202228 Jun 2022Evening ShiftPhysicsCurrent ElectricityActual

All resistances in figure are 1 Ω each. The value of current ' I ' is a 5 A . The value of a is _____ .

Correct answer

0

Step-by-step solution

Each pair on the right side of the circuit is in parallel connection, hence it can be replaced by a resistance of r 2 as shown. Now, r   &   r 2 in each branch on the right side is in series, hence combined resistance value will be, 3 r 2 . Upper branch having resistance 3 r 2 is in parallel with another 3 r 2 , hence it can be written as 3 r 4 . Further, simplified circuit will have net resistance of 7 r 8 . Therefore, R eq = 7 r 8 + r = 7 8 + 1 = 15 8   Ω Now, current I = 3 15 8 = 8 5 &#16

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