A circuit consists of N resistors,all of resistance R,connected as shown below.A potential difference V is applied to the circuit.The equivalent resistance of the circuit is
A) .
B)R.
C) .
D)NR.
E)4NR.

Question

A circuit consists of N resistors,all of resistance R,connected as shown below.A potential difference V is applied to the circuit.The equivalent resistance of the circuit is 
A) . 
B)R. 
C) . 
D)NR. 
E)4NR.

Quizplus · Accepted Answer

To find the equivalent resistance of the circuit, we can first simplify the circuit by combining the resistors in series and parallel until we get a single equivalent resistor.

Starting from the left side of the circuit, we can combine the two resistors in series to get a single resistor of 2R.

Next, we can combine the two resistors in parallel on the right side of the circuit to get an equivalent resistance of R/2.

Now we have two resistors in series (2R and R/2) which we can combine to get an equivalent resistance of 5R/2.

Finally, we can combine this equivalent resistance with the third resistor of R in parallel to get the total equivalent resistance:

R_parallel = R*(5R/2)/(R + 5R/2) = 5/7 R

Therefore, the correct answer is (C) 11ea7ff9_2bfd_0e0b_a768_5fd281060991_TB2295_11 .

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