Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 25: Problem 2

You make a parallel combination of resistors consisting of resistor A having a very large resistance and resistor B having a very small resistance. The equivalent resistance for this combination will be: a) slightly greater than the resistance of the resistor A. b) slightly less than the resistance of the resistor \(\mathrm{A}\). c) slightly greater than the resistance of the resistor B. d) slightly less than the resistance of the resistor B.

Short Answer

Expert verified
Question: When a resistor A has a very large resistance (almost infinity) and a resistor B has a very small resistance (almost zero) are connected in parallel, the equivalent resistance of the parallel resistors will be _____: a) equal to the resistance of the resistor A b) equal to the resistance of the resistor B c) slightly greater than the resistance of the resistor B d) slightly smaller than the resistance of the resistor A Answer: c) slightly greater than the resistance of the resistor B

Step by step solution

01

Formula for parallel resistors

Recall the formula for calculating the equivalent resistance when two resistors are in parallel: \(R_{eq} = \frac{R_1 \times R_2}{R_1 + R_2}\)
02

Understand the problem

We are given that resistor A has a very large resistance (almost infinity) and resistor B has a very small resistance (almost zero). Let's consider their respective resistances as \(R_A\) and \(R_B\).
03

Apply the formula

Apply the formula for equivalent resistance with the given values: \(R_{eq} = \frac{R_A \times R_B}{R_A + R_B}\)
04

Analyze the result

Considering that \(R_A\) is very large and \(R_B\) is very small, the denominator (\(R_A + R_B\)) will be very close to \(R_A\) and the numerator (\(R_A \times R_B\)) will be a very small value compared to \(R_A\). Therefore, when divided, the equivalent resistance will be slightly greater than the very small resistance \(R_B\). Thus, the correct answer is: c) slightly greater than the resistance of the resistor B.

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.

Start your free trial

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

A battery has a potential difference of \(14.50 \mathrm{~V}\) when it is not connected in a circuit. When a \(17.91-\Omega\) resistor is connected across the battery, the potential difference of the battery drops to \(12.68 \mathrm{~V}\). What is the internal resistance of the battery?

The Stanford Linear Accelerator accelerated a beam consisting of \(2.0 \cdot 10^{14}\) electrons per second through a potential difference of \(2.0 \cdot 10^{10} \mathrm{~V}\) a) Calculate the current in the beam. b) Calculate the power of the beam. c) Calculate the effective ohmic resistance of the accelerator.

Three resistors are connected to a power supply with \(V=110 . \mathrm{V}\) as shown in the figure a) Find the potential drop across \(R_{3}\) b) Find the current in \(R_{1}\). c) Find the rate at which thermal energy is dissipated from \(R_{2}\).

What is the current density in an aluminum wire having a radius of \(1.00 \mathrm{~mm}\) and carrying a current of \(1.00 \mathrm{~mA}\) ? What is the drift speed of the electrons carrying this current? The density of aluminum is \(2.70 \cdot 10^{3} \mathrm{~kg} / \mathrm{m}^{3},\) and 1 mole of aluminum has a mass of \(26.98 \mathrm{~g}\). There is one conduction electron per atom in aluminum.

A certain brand of hot dog cooker applies a potential difference of \(120 \mathrm{~V}\) to opposite ends of the hot dog and cooks it by means of the heat produced. If \(48 \mathrm{~kJ}\) is needed to cook each hot dog, what current is needed to cook three hot dogs simultaneously in \(2.0 \mathrm{~min}\) ? Assume a parallel connection.
See all solutions

Recommended explanations on Physics Textbooks

Measurements

Read Explanation

Geometrical and Physical Optics

Read Explanation

Energy Physics

Read Explanation

Electric Charge Field and Potential

Read Explanation

Oscillations

Read Explanation

Nuclear Physics

Read Explanation
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