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?

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3.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

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

3. The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

3.
The resistance of a metal wire at \( 20^\circ \text{C} \) is \( 1.05 \, \Omega \) and at \( 100^\circ \text{C} \) is \( 1.38 \, \Omega \). Determine the temperature coefficient of resistivity of this metal.