Question

What is the total resistance three resistances of 4 ohm, 6 ohms and 8 ohm respectively are connected in parallel? Give the solution

Answer 1

Answer :

Three identical resistors of resistances 4Ω, 6Ω and 8Ω are connected in parallel.

We have to find equivalent resistance of the connection$.$

Equivalent resistance of parallel connection is given by

✴ 1/R = 1/R1 + 1/R2 + ... + 1/Rn

Let's calculate ☃

➝ 1/R = 1/R1 + 1/R2 + 1/R3

➝ 1/R = 1/4 + 1/6 + 1/8

➝ 1/R = (6 + 4 + 3) / 24

➝ R = 24/13

➝ R = 1.85Ω

Learn More :

Equivalent resistance of series connection is given by

✴ R = R1 + R2 + ... + Rn

Joule's law of heating :

• For series : H = I²R
• For parallel : H = V²/R

Answer 2

Answer:

Total resistance = 1.84 ohm

Explanation:

Given, Resistance 1 = 4 ohm

Resistance 2 = 6 ohm

Resistance 3 = 8 ohm

Using, 1/R = 1/R(1) + 1/R(2) + 1/R(3)

1/R = 1/4 + 1/6 + 1/8

1/R = (6 + 4 + 3)/24

1/R = 13/24

R = 24/13 ohm

Or R = 1.84 ohm