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Chapter 27: Q21P (page 796)

Question: Four 18.0 鈩� resistors are connected in parallel across a 25.0 V ideal battery. What is the current through the battery?

Short Answer

Expert verified

Answer

The value of the current isI=5.56A .

Step by step solution

01

Write the given data:

  1. The value of each resistor isR=18.0惟
  2. The potential of the battery isV=25.0V
02

Determine the concept

Use the concept of Ohm鈥檚 law and the equivalent resistance of the parallel circuit. First, find the equivalent resistance and then, using that value in Ohm鈥檚 law formula, find the current through the battery.

Write the formula for the Ohm鈥檚 law and the equivalent resistance as:

V=IR1Req=1R1+1R2+1R3+1R4

03

Calculate the current through the battery  

First, calculate the equivalent resistance as follows:

1Req=118+118+118+118=4181Req=418Req=184Req=4.5惟

Using this value in Ohm鈥檚 law formula and solve as:

V=IRI=VRI=25.04.50I=5.56A

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Most popular questions from this chapter

A copper wire of radius a=0.250mmhas an aluminium jacket of outer radiusb=0.380mm. There is a currenti=2.00Ain the composite wire. Using Table 26-1, calculate the current in (a) the copper and (b) the aluminium. (c) If a potential differenceV=12.0Vbetween the ends maintains the current, what is the length of the composite wire?

What is the equivalent resistance of three resistors, each of resistance R, if they are connected to an ideal battery (a) in series with one another and (b) in parallel with one another? (c) Is the potential difference across the series arrangement greater than, less than, or equal to that across the parallel arrangement?

For each circuit in Fig. 27-20, are the resistors connected in series, in parallel, or neither?

A standard flashlight battery can deliver about 2.0 W-h of energy before it runs down. (a) If a battery costs US \(0.80, what is the cost of operating a 100 W lamp for 8.0h using batteries? (b) What is the cost of energy is provided at the rate of US \)0.6 per kilowatt-hour?

In Figure, 蔚1=6.00V, 蔚2=12.0V ,R1=100惟 , R2=200惟 ,andR3=300惟 . One point of the circuit is grounded(V=0) .(a)What is the size of the current through resistance 1? (b) What is the direction (up or down) of the current through resistance 1? (c) What is the size of the current through resistance 2?(d) What is the direction (left or right) of the current through resistance 2? (e) What is the size of the current through resistance 3? (f) What is the direction of the current through resistance 3? (g) What is the electric potential at point A?
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