Question

if 2 ohm and 3 ohm resistors are joined in parallel . calculate the net resistance
With in 5 min solve it

Answer 1

$\dfrac{1}{R} = \dfrac{1}{2} + \dfrac{1}{3} \\ \\ \dfrac{1}{R} = \frac{3 + 2}{6} \\ \\ \frac{1}{R} = \frac{5}{6} \\ \\ R = \dfrac{6}{5}$

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Answer 2

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$\small{\underline{\sf{\pink{Given:}}}}$

• First Resistance (R1) = 2 ohm
• Second Resistance (R2) = 3 ohm

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$\small {\underline{\blue{\sf{To \: Find :}}}}$

• Equivalent resistance in Parallel

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$\small {\underline{\red{\sf{Solution:}}}}$

We have formula for connecting resistances in parallel :

$\large \boxed{\sf{\dfrac{1}{R_p} \: = \: \dfrac{1}{R_1} \: + \: ..... \: + \: \dfrac{1}{R_n}}} \\ \\ \rightarrow {\sf{\dfrac{1}{R_p} \: = \: \dfrac{1}{2} \: + \: \dfrac{1}{3}}} \\ \\ \rightarrow {\sf{\dfrac{1}{R_p} \: = \: \dfrac{3 \: + \: 2}{6}}} \\ \\ \rightarrow {\sf{\dfrac{1}{R_p} \: = \: \dfrac{5}{6}}} \\ \\ \rightarrow {\sf{R_p \: = \: \dfrac{6}{5}}} \\ \\ \rightarrow {\sf{R_p \: = \: 1.2}} \\ \\ \longrightarrow {\underline{\boxed{\blue{\sf{R_p \: = \: 1.2 \: \Omega}}}}}$