Question

two identical resistors each of resistance 10ohm are connected in.a)series (b) parallel calculate the equivalent in each case​

Answer 1

Answer:

a. series: 20 ohm

b. parallel: 5 ohm

Answer 2

Given :

• R ₁ = R ₂ = R = 10Ω

Solution :

(a)

Equivalent resistance for n number  resistors connected in series is given by the formula ,

• Rₛ = R ₁ + R ₂... + Rₙ

Hence ,

⇒   Rₛ = R ₁ + R ₂

⇒   Rₛ = 2R

⇒  Rₛ = 20 Ω

The equivalent resistance of the combination is 20  Ω.

(b)

Equivalent  resistance for n number  resistors connected in series is given by the formula ,

• 1 /  Rₚ = 1 / R ₁ + 1 / R ₂... + 1 / Rₙ

Hence ,

⇒  1 /  Rₚ = 1 / R ₁ + 1 / R ₂

⇒  1 /  Rₚ = 1 / R + 1 / R

⇒  1 /  Rₚ = 2 / R

⇒   Rₚ = R / 2

⇒   Rₚ = 10 / 2

⇒  Rₚ = 5 Ω

The equivalent resistance of the combination is 5  Ω.