Question

what is equivalent resistance of 4 and 6 in parallel​

Answer 1

Given :

➳ Two identical resistors of resistance 4Ω and 6Ω are connected in parallel.

To Find :

⟶ Eq. resistance of the combination.

SoluTion :

➠ Potential difference across each resistor remains same in parallel connection.

➠ Equivalent resistance of parallel connection by

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

⇒ 1/Req = 1/R$_1$ + 1/R$_2$

⇒ 1/Req = 1/4 + 1/6

⇒ 1/Req = (6 + 4) / 24

⇒ 1/Req = 10/24

⇒ Req = 24/10

⇒ Req = 2.4Ω

Learn more :

➝ Current flow through each resistor remains same in series connection.

➝ Equivalent resistance of series connection is given by

$\bigstar\:\boxed{\bf{R_s=R_1+R_2+...+R_n}}$