Chapter 27: Q24P (page 796)

Question: In Figure, $R_{1} = R_{2} = 4.00 Ω$ and $R_{3} = 2.50 Ω$ . Find the equivalent resistance between points D and E.
(Hint: Imagine that a battery is connected across those points.)

Short Answer

Expert verified

Answer:

The equivalent resistance is $R_{e q} = 4.50 Ω$ .

Step by step solution

Given data:

The resistance $R_{1} = R_{2} = 4.00 Ω$

The resistance $R_{3} = 2.50 Ω$

Understanding the concept:

Use the concept of the equivalent resistance of the series and the parallel circuit. Using these equations, we can find the equivalent resistance of the given circuit.

For series:

$R_{e q} = R_{1} + R_{2}$

For parallel:

$\frac{1}{R_{e q}} = \frac{1}{R_{1}} + \frac{1}{R_{2}}$

Calculate the equivalent resistance between points D and E.

The resistor R₁ and R₂ are parallel to each other, so you can find equivalent resistance for that, you get

$\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}} = \frac{1}{4 Ω} + \frac{1}{4 Ω} = \frac{2}{4} Ω^{- 1} = \frac{1}{2} Ω^{- 1} R = 2 Ω$

Now, this equivalent resistance is in series with R₃, so you can write,

$R_{e q} = R + R_{3} = 2.00 Ω + 2.50 Ω = 4.50 Ω$

Hence, the equivalent resistance is $4.50 Ω$ .

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Question: In Figure, $R_{1} = R_{2} = 4.00 Ω$ and $R_{3} = 2.50 Ω$ . Find the equivalent resistance between points D and E.
(Hint: Imagine that a battery is connected across those points.)

Short Answer

Step by step solution

Given data:

Understanding the concept:

Calculate the equivalent resistance between points D and E.

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Question: In Figure,R1=R2=4.00ΩandR3=2.50Ω . Find the equivalent resistance between points D and E.(Hint: Imagine that a battery is connected across those points.)

Short Answer

Step by step solution

Given data:

Understanding the concept:

Calculate the equivalent resistance between points D and E.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Modern Physics

Space Physics

Conservation of Energy and Momentum

Radiation

Linear Momentum

Study anywhere. Anytime. Across all devices.

Question: In Figure, $R_{1} = R_{2} = 4.00 Ω$ and $R_{3} = 2.50 Ω$ . Find the equivalent resistance between points D and E.
(Hint: Imagine that a battery is connected across those points.)