Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

The circuit shown in Fig. E25.33 contains two batteries, each with an emf and an internal resistance, and two resistors. Find (a) the current in the circuit (magnitude and direction) and (b) the terminal voltage Vabof the 16.0-V battery.

Fig. E25.33

Short Answer

Expert verified
  1. The current in the circuit is 0.471 A.
  2. The terminal voltage Vabof the 16.0 V battery is 15.2 V

Step by step solution

01

Concept of Kirchhoff’s loop rule.

Kirchhoff’s loop rule states that the addition of all the potential differences going around the closed loop is zero.

02

  (a) Determination of the current in the circuit.

Apply the Kirchhoff’s loop rule around the circuit in the direction of the flow of current,

+16.0V-8.0V-l(1.6Ω+5Ω+1.4Ω+9.0Ω)=0l=+16.0V-8.0V1.6Ω+5Ω+1.4Ω+9.0Ω=0.471AThecalculatedvalueofIispositiveandthusthecurrentflowsinanti-clockwisedirection.

The calculated value of I is positive and thus the current flows in anti-clockwise direction.

03

(b) Determination of the terminal voltage Vab of the 16.0 V battery.

Take voltage at point a and b as respectively.

Va=Vb+16.0V-l(1.6Ω)So,Va-Vb=Vab=16.0V-(1.6Ω)(0.47A)=15.2V.Thus,thevoltageVabis15.2V.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The capacity of a storage battery, such as those used in automobile electrical systems, is rated in ampere-hours .(Ah)A50AhA battery can supply a current of50Afor 1.0h,or25Afor2.0hor for and so on. (a) What total energy can be supplied by a 12-v,60-Ahbattery if its internal resistance is negligible? (b) What volume (in litres) of gasoline has a total heat of combustion equal to the energy obtained in part (a)? (See Section 17.6; the density of gasoline is 900kg/m3.) (c) If a generator with an average electrical power output ofrole="math" localid="1655719210000" 0.45kW is connected to the battery, how much time will be required for it to charge the battery fully?

Light Bulbs in Series and in Parallel. Two light bulbs have constant resistances of 400Ωand 800Ω. If the two light bulbs are connected in series across a 120Vline, find (a) the current through each bulb; (b) the power dissipated in each bulb; (c) the total power dissipated in both bulbs. The two light bulbs are now connected in parallel across the120Vline. Find (d) the current through each bulb; (e) the power dissipated in each bulb; (f) the total power dissipated in both bulbs. (g) In each situation, which of the two bulbs glows the brightest? (h) In which situation is there a greater total light output from both bulbs combined?

Can potential difference between the terminals of a battery ever be opposite in direction to the emf? If it can, give an example. If it cannot, explain why not.

In the circuit shown in Fig. E26.20, the rate at which R1 is dissipating electrical energy is 15.0 W. (a) Find R1 and R2. (b) What is the emf of the battery? (c) Find the current through both R2 and the 10.0 Ω resistor. (d) Calculate the total electrical power consumption in all the resistors and the electrical power delivered by the battery. Show that your results are consistent with conservation of energy.

BIO The average bulk resistivity of the human body (apart from surface resistance of the skin) is about 5.0Ω·m. The conducting path between the hands can be represented approximately as a cylinder 1.6 m long and 0.10 m in diameter. The skin resistance can be made negligible bysoaking the hands in salt water. (a) What is the resistance between the hands if the skin resistance is negligible? (b) What potential difference between thehands is needed for a lethal shock current of 100 mA ? (Note that your result shows that small potential differences produce dangerous currents when the skin is damp.) (c) With the current in part (b),what power is dissipated in the body?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free