Question

if four resistors each of 1 ohm are connected parallel , then what will be the effective resistance

Answer 1

Given

4 Resistors each with resistance 1 ohm

$r=1\ \Omega$

To find

Effective resistance

Solution

Resistance when connected in parallel is given by

$\dfrac{1}{R}=\dfrac{1}{r}+\dfrac{1}{r}+\dfrac{1}{r}+\dfrac{1}{r}\\\Rightarrow \dfrac{1}{R}=\dfrac{4}{r}\\\Rightarrow R=\dfrac{r}{4}\\\Rightarrow R=\dfrac{1}{4}\\\Rightarrow R=0.25\ \Omega$

The effective resistance of the circuit will be $0.25\ \Omega$.

Answer 2

Answer:

0.25 ohms

Explanation:

1/R = 1/r +1/r +1/r +1/r

1/R = 4/R

R= 1/4

R= 0.25 ohms