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.

I would think that the equivalent resistance would be half of the value of the resistor, but that isn't an option... Help me, please?

1/R(eq)=3/R

R(eq)=R/3

new i = old i * 3

new v = old v

r = v/new i = v/3i = (1/3) old r

I think The equivalent resistance is one third the value of a single resistor man!

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, you have three resistors with the same resistance value, so we can call this resistance value R.

1/Req = 1/R + 1/R + 1/R
1/Req = 3/R

To solve for Req, we can take the reciprocal of both sides:

Req = R/3

Therefore, the equivalent resistance is one-third the value of a single resistor in this parallel circuit.