Define how three resistors of resistances 2 Ohm, 3 Ohm, and 6 Ohm can be attached to supply a total resistance of 4 Ohm and 1 Ohm?

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The given equation mentions that there are three resistors each with resistances of 2 Ω, 3 Ω, and 6 Ω respectively.

Assume that,

R₁ = 2 Ω
R₂ = 3 Ω
R₃ = 6 Ω

Total resistance 4 ohm (Ω)

In order to acquire a total resistance of 4 Ω from the three resistors, attach the resistors of 3Ω and 6Ω parallelly to obtain a total resistance of 2Ω (that is lesser than the lowest individual resistance). Now, when R₂ and R₃ are parallelly connected with R₁ in series, we can obtain:

⇒ 1/R = 1/R₂ + 1/R₃

⇒ 1/R = 1/3 + 1/6

⇒ 1/R = 1/2

⇒ R = 2 Ω

⇒ Thus, the Resistance in series = R + R₁= 2 + 2 = 4 Ω

Therefore, the total resistance is 4 Ω.

To obtain a total resistance of 1Ω from three resistors of 2Ω, 3Ω and 6Q, all three resistors should be connected in parallel.

Considering that R₁, R₂, and R₃are parallelly connected:

⇒ 1/R = 1/R₁ + 1/R₂ + 1/R₃

⇒ 1/R = 1/2 + 1/3 + 1/6

⇒ 1/R = 1 Ω

Thus, the total resistance is 1 Ω.

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Define how three resistors of resistances 2 Ohm, 3 Ohm, and 6 Ohm can be attached to supply a total resistance of 4 Ohm and 1 Ohm?

Related Questions

CBSE CLASS XII Related Questions

1.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

2.
Write two advantages of reflecting telescope over refracting telescope.

Similar Physics Concepts

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Define how three resistors of resistances 2 Ohm, 3 Ohm, and 6 Ohm can be attached to supply a total resistance of 4 Ohm and 1 Ohm?

Related Questions

CBSE CLASS XII Related Questions

1.Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

2.Write two advantages of reflecting telescope over refracting telescope.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Derive an expression for the capacitance of a parallel plate capacitor of plate area A and plate separation d with air present between the plates.

2.
Write two advantages of reflecting telescope over refracting telescope.