Question

What is the effective resistance when 2ohm and 4ohm resistors are connected in parallel?

Answer 1

Explanation:

Given that ,

The resistance of 2 ohm and 4 ohm resistor are connected in parrallel

We know that , the equivalent resistance in parrallel combination is given by

\sf \large\fbox{ \frac{1}{R} = \frac{1}{ R_{1} } + \frac{1}{ R_{2} } + .. + \frac{1}{ R_{n} } }

Thus ,

\sf \mapsto \frac{1}{R} = \frac{1}{2} + \frac{1}{4} \\ \\ \sf \mapsto \frac{1}{R} = \frac{4 + 2}{8} \\ \\ \sf \mapsto R = \frac{8}{6} \\ \\ \sf \mapsto

R = equivalent \: resistance \: is \: 1.3 \: ohm \:

Answer 2

R1 = 2Ω

R2 = 4Ω

1/Rp = 1/R1 + 1/R2

1/Rp = 1/2 + 1/4

1/Rp = 2 + 1 ÷ 4

1/Rp = 3/4

Rp = 4/3

Rp = 1.33Ω