A circuit consists of 2N resistors,all of resistance R,connected as shown below.A potential difference V is applied to one end,and the other end is at ground potential.The equivalent resistance of the circuit is
A) .
B)R.
C) .
D)NR.
E)2NR.

Question

A circuit consists of 2N resistors,all of resistance R,connected as shown below.A potential difference V is applied to one end,and the other end is at ground potential.The equivalent resistance of the circuit is 
A) . 
B)R. 
C) . 
D)NR. 
E)2NR.

Quizplus · Accepted Answer

Each branch of the circuit has two resistors in parallel and their resistance is R/2. Then, each branch can be replaced by a single resistor of resistance R/2. The two branches are then in series, so the equivalent resistance is the sum of the resistances in each branch, which is R/2 + R/2 = R. Finally, the two ends of the equivalent resistor are connected in parallel with another R resistor, so the equivalent resistance is (R)(R)/(2R) = R/2. Therefore, the equivalent resistance of the circuit is 11ea7ff9_2bfc_bfe8_a768_735a098e805a_TB2295_00.

A Circuit Consists of 2N Resistors,all of Resistance R,connected as Shown