Which is the total resistance of a circuit that contains twenty 100 ohms resistors connected in parallel?

Answer 1

When resistors of the same value are wired in parallel, the total equivalent resistance (ie the value of one resistor that acts identically to the group of parallel resistors) is equal to the value of the resistors divided by the number of resistors.

For example, two 10 ohm resistors in parallel give an equivalent resistance of 10/2=5Ohms. Three 60 ohm resistors in parallel give a total equivalent resistance of 60/3 = 20Ohms.

In your case, four 200 Ohm resistors in parallel give 200/4 = 50 Ohms total.

Answer 2

Use the formula for parallel resistances:

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

Where "R" is the final or equivalent resistance; and R1, R2, R3, etc. are the resistances of the individual parallel branches.

As a shortcut, for the special case of identical resistance values, the parallel combination of two resistances is one-half the value of each resistance; the parallel combination of three resistances is one-third the value of each resistance, etc.

Another shortcut (only works for two resistances at a time) is:

R = (R1 x R2) / (R1 + R2)

Answer 3

Two 100 ohm resistors in parallel have an equivalent resistance of 50 ohms.

RPARALLEL = 1 / Summation1toN (1 / RN)

Answer 4

I assume you mean 1 ohm resistors, not batteries.

1/4 ohm

Answer 5

Two 100-ohm resistors connected in parallel have

a combined effective resistance of 50 ohms.