Question

Which is true about the equivalent of resistors in parallel? Entry field with incorrect answer now contains modified data The equivalent resistance is more than the largest value of the individual resistances. The equivalent resistance is intermediate between the smallest value and largest value of the individual resistances. The equivalent resistance is less than the smallest value of the individual resistances.

Answer 1

Answer:

The equivalent resistance is less than the smallest value of the individual resistances.

Explanation:

Lets take n resistor are connected in parable

As we know that equivalent resistance force parallel connection given as

$\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}+\dfrac{1}{R_4}---\dfrac{1}{R_n}$

Lets take

R₁=3  ohm

R₂=6 ohm

R₃=2 ohm

The equivalent resistance ,R

$\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}$

$\dfrac{1}{R}=\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{2}$

$\dfrac{1}{R}=1$

R= 1 ohm

We can say that equivalent resistance of parallel connection is less than the minimum smallest resistance.