Question

When two resistances of 3.5 ohm each, are
connected in parallel, what is equivalent
resistance?​

Answer 1

Given :

➳ Two identical resistors each of resistance 3.5Ω are connected in parallel.

To Find :

➜ Equivalent resistance of the parallel connection.

Formula :

➛ Formula of equivalent resistance in parallel connection is given by

$\bigstar\:\underline{\boxed{\bf{\red{\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+...+\dfrac{1}{R_n}}}}}$

➛ Potential difference across all resistors in parallel connection remains same.

Calculation :

$\dashrightarrow\sf\:\dfrac{1}{R}=\dfrac{1}{3.5}+\dfrac{1}{3.5}\\ \\ \dashrightarrow\sf\:\dfrac{1}{R}=\dfrac{2}{3.5}\\ \\ \dashrightarrow\sf\:R=\dfrac{3.5}{2}\\ \\ \dashrightarrow\underline{\boxed{\bf{\pink{R=1.75\Omega}}}}\:\gray{\bigstar}$

Answer 2

$\pink{\underline{\underline{Answer:}}}$

Given,

• Two resistances are connected in parallel = 3.5cm

To Find:-

Equivalent resistance

Formula used:-

$\frac{1}{R}$ = $\frac{1}{R1}$+ $\frac{1}{R2}$ +...... $\frac{1}{Rn}$

Calculations:-

$\frac{1}{R}$ = $\frac{1}{3.5}$ + $\frac{1}{3.5}$

$\frac{1}{R}$ = $\frac{2}{3.5}$

R= $\frac{3.5}{2}$

R = 1.75ohms