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.