Question

Total resistance of an equipment of 4 resistance , having 4Ω resistance each connected in parallel is​

Answer 1

Answer:

1/4 + 1/4 + 1/4 + 1/4

= 4/4

= 1

Hence Equivalent Resistance is 1 ohm

Explanation:

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Answer 2

Answer:

1Ω

Explanation:

let the four resistors be R₁, R₂, R₃, R₄

given that, R₁ = R₂ = R₃ = R₄ = 4Ω

and all resistors connected in parallel

(Resultant resistance)⁻¹ = 1/R₁ + 1/R₂ + 1/R₃ + 1/R₄

                                       = 1/4 + 1/4 + 1/4 + 1/4 = 4/4 = 1

⇒ (Resultant resistance)⁻¹ = 1

⇒ Resultant resistance = 1/1 = 1Ω

ALTERNATE PROCESS

∵ all resistors have equal value(4Ω),

   resultant resistance = (value of each resistor)/(total no:of resistors)

   value of each resistor = 4Ω

   no:of resistors = 4

⇒ resultant resistance = 4/4 = 1Ω