In the given circuit all resistances are of value R ohm each. The equivalent resistance between A and B is: (a) 2R (b) 3R (c) 5R/3 (d) 5R/2

Answer: (a). Find the plain wires: the middle horizontal wire, the central vertical wire and the lower-left horizontal wire join the left-middle, centre, bottom-left and bottom-centre dots into one node. So the resistor from A and the resistor from B both end on this same node; the rest of the network is attached only to that one node, so it carries no current. Only the two series resistors at A and at B remain: RAB = R + R = 2R. So the answer is (a) 2R.

In the given circuit all resistances are of value R ohm each. The… | JEE Main 2018 (15 Apr, Shift 1)

Q66JEE Main 2018 · 15 APR · SHIFT 1Medium

Combination of Resistors

In the given circuit all resistances are of value $R\text{ ohm}$ each. The equivalent resistance between $A$ and $B$ is:

Show answer and solution

Answer: (a)

Find the plain wires: the middle horizontal wire, the central vertical wire and the lower-left horizontal wire join the left-middle, centre, bottom-left and bottom-centre dots into one node.
So the resistor from A and the resistor from B both end on this same node; the rest of the network is attached only to that one node, so it carries no current.
Only the two series resistors at A and at B remain: $R_{AB} = R + R = 2R$ .
So the answer is (a) $2R$ .

Report a mistake

Combination of Resistors question from JEE Main 2018 (15 Apr, Shift 1)

More questions on Combination of Resistors