Three resistors having the same resistance value are wired in parallel. How does the equivalent resistance compare to the resistance value of a single resistor?

The equivalent resistance is thrice the value of a single resistor.


The equivalent resistance is the same as the value of a single resistor.

The equivalent resistance is one third the value of a single resistor.

The equivalent resistance is greater than the value of a single resistor.

The current now has three choices for where to go, but the voltage is the same for all three.

itotal = V/R + V/r + V/R

itotal = 3 V/R = V/(R/3)

which is the voltage divided by the equivalent resistance, R/3

if resistors are parallel, then equivalent resistance R=1/(1/R1 + 1/R2 + 1/R3); all

R are the same => R = R/3 => R/R1 = (R/3)/R <=> 1/3

To find the equivalent resistance of resistors wired in parallel, you can use the formula:

1/Req = 1/R1 + 1/R2 + 1/R3 + ...

In this case, since the three resistors have the same resistance value, let's call it R. So the formula becomes:

1/Req = 1/R + 1/R + 1/R

Simplifying the equation:

1/Req = 3/R

To get the equivalent resistance, we take the reciprocal of both sides:

Req = R/3

So, the equivalent resistance (Req) of three resistors wired in parallel is one-third of the resistance value of a single resistor (R).