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Chapter 27: Q24P (page 796)

Question: In Figure,R1=R2=4.00惟andR3=2.50惟 . 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 Req=4.50惟.

Step by step solution

01

Given data:

The resistance R1=R2=4.00惟

The resistance R3=2.50惟

02

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:

Req=R1+R2

For parallel:

1Req=1R1+1R2

03

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

1R=1R1+1R2=14惟+14惟=24惟-1=12惟-1R=2惟

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

Req=R+R3=2.00惟+2.50惟=4.50惟

Hence, the equivalent resistance is 4.50惟.

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Most popular questions from this chapter

Question: In Fig. 27-14, assume that 蔚=3.0痴,谤=100惟,搁1=250惟补苍诲搁2=300惟, . If the voltmeter resistance RV= 5. 0 K惟, what percent error does it introduce into the measurement of the potential difference across R1 ? Ignore the presence of the ammeter.

A capacitor with an initial potential difference of100Vis discharged through a resistor when a switch between them is closed att=0. Att=10.0s, the potential difference across the capacitor is1.00V. (a) What is the time constant of the circuit? (b) What is the potential difference across the capacitor att=17.0s?

You are to connect resistors R1and R2, withR1>R2, to a battery, first individually, then in series, and then in parallel. Rank those arrangements according to the amount of current through the battery, greatest first.

Figure shows five 5.00惟 resistors. Find the equivalent resistance between points

(a) F and H and

(b) F and G . (Hint: For each pair of points, imagine that a battery is connected across the pair.)

In Fig 27-66, the ideal battery has emf30 V, the resistances areR1=20 k鈩�,andR2=10 k鈩�, and the capacitor is uncharged. When the switch is closed at time t= 0, what is the current in

(a) Resistance 1 and

(b) Resistance 2?

(c) A long time later, what is the current in resistance 2?
See all solutions

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