Physics
Physics
1st Edition
Walker
ISBN: 9780133256925
Table of contents
Textbook solutions

All Solutions

Page 757: Lesson Check

Exercise 6
Step 1
1 of 2
Below is the attached picture. We should emphasize that direction of the electron is from the negative to the positive side of the battery, as electrons are negatively charged, this is different direction due to the $textbf{convention}$ of the current flow.

Also, we should comment that circuits like this can easily be shorted, as there is nothing that is consuming current in the circuit. But one should not forget that even the wire has the resistance which allows current normally to flow.

Exercise scan

Result
2 of 2
The sketched diagram $mathrm{in}$ the solution.
Exercise 7
Step 1
1 of 2
Here we analyze how does the current through a wire changes if the resistance is increased. Since we will be looking at the relationship between current and resistance, we assume that voltage for this circuit is $textbf{constant}$. First, we remember Ohm’s law:

$$
R=frac{V}{I}
$$

expressing the voltage from this we have:

$$
I=frac{V}{R}
$$

since the voltage is constant, from the relation we can see that current is inversely proportional to the resistance, which means that as much as I increase the resistance, for that much current will dropdown. This leads to the conclusion increasing the resistance in the circuit will lower the current.

Result
2 of 2
Increasing the resistance $mathrm{lowers}$ the current.
Exercise 8
Step 1
1 of 2
The current in the wire will change if it is heated. Warmer the wire its resistance will increase. Since from Ohm’s law we know that current is inversely proportional to the resistance, the current will lower as we heat up the wire.

$$
R=frac{V}{I}
$$

If we have a wire at a temperature of 250 K and 300 K. Resistance at 300 K will be higher and current will be lower, rather than for the temperature of 250 K.

The reason this is happening can be also viewed in the origin of resistance in materials. Resistance is the intrinsic property and temperature is a measure of kinetic energy. So, higher the temperature, atoms inside the material move “more and faster” and due to all collisions and scatterings inside the material, we have a resistance as a result. This activity will be much higher as the temperature is higher.

Result
2 of 2
If temperature $mathrm{is}$ increased, resistance will be higher.
Exercise 9
Step 1
1 of 2
Here we analyze how the flow of electrons is related to the areas of low and high potential. Since in the circuit, we have a battery that has a lower and higher end of potential. We know that electrons are negatively charged particles, so they will move in the direction from lower to the higher potential, in other words from negative to the positive area of potential ($textbf{positive terminal of the battery}$.

Contrary to this direction of the current is considered different by the convention, than the one explained above. For the current direction, we assume positive charges are moving. So, the real movement of electrons is considered opposite to the considered direction of the current movement.

Exercise scan

Result
2 of 2
Electrons move from the region $mathrm{of}$ lower potential to the higher value of potential.
Exercise 10
Step 1
1 of 2
Here we analyze the direction of the current if we know that current is produced by the electron that is falling toward the ground. The direction of the current will always be opposite to the direction of the electron, so the direction of the current will be $textbf{upward}$.

Exercise scan

Result
2 of 2
Direction $textbf{of}$ the current is upward.
Exercise 11
Step 1
1 of 2
If we would like to conduct a current through a diode we should connect a p-type semiconductor to the positive terminal of the battery. The reason for this is because the diode is technology based on semiconductors where the current carriers are not only electrons but holes, as well.

Because of specific $textbf{electronic structure}$ of semiconductors materials, we have a p-type and n-type of semiconductors where electrons or holes can be dominant charge carriers. For our case, if we connect p-type charge carriers can easily flow in the circuit and this is called $textbf{forward biased current}$.

Exercise scan

Result
2 of 2
We connect positive terminal $mathrm{to}$ the p-type semiconductor.
Exercise 12
Step 1
1 of 2
In this problem, we analyze two resistors, where their resistance and the current flowing through them is given. We determine their voltages. To determine their voltages, we simply use $textbf{Ohm’s law}$:

$$
R=frac{V}{I} Rightarrow V=IR
$$

From the problem statement, we know that $R_1= 10 mathrm{Omega}$ and $I_1 = 3 mathrm{~A}$, while $R_2= 5 mathrm{Omega}$ and $I_2 = 10 mathrm{~A}$.

Plugging in the numbers we have:

$$
V_1= I_1R_1 =3 mathrm{~A} cdot 10 mathrm{Omega}
$$

which gives:

$$
V_1= I_1R_1 =boxed{color{#c34632}30 mathrm{~V}}
$$

And for the second voltage we have:

$$
V_2= I_2R_2 =10 mathrm{~A} cdot 5 mathrm{Omega}
$$

we have the result of:

$$
V_2= I_1R_1 =boxed{color{#c34632}50 mathrm{~V}}
$$

We can conclude that resistor 2 has a greater potential difference.

Result
2 of 2
Resistor 2 has a potential difference of $50$ V, which is greater than for resistor 1 that has a potential difference of 30 V.
Exercise 13
Step 1
1 of 2
In this problem, we use Ohm’s law to calculate a current through the resistor of resistance $220 mathrm{~Omega}$ and the voltage of 16 V. We use $textbf{Ohm’s law}$:

$$
I=frac{V}{R}
$$

Putting in the numbers we have:

$$
I=frac{16 mathrm{~V}}{220 mathrm{~Omega}}
$$

We get the result of:

$$
boxed{color{#c34632}I=0.073 mathrm{~A}}
$$

Result
2 of 2
$$
I=0.073 mathrm{~A}
$$
Exercise 14
Step 1
1 of 2
We would like to produce 1.8 A current trough the 140$mathrm{~Omega}$ resistor, we need to find out what voltage we need to set up to produce this current. For this we use Ohm’s law:

$$
R=frac{V}{I} Rightarrow V=IR
$$

Putting in the numbers we have:

$$
V=1.8 mathrm{~A} cdot 140 mathrm{~Omega}
$$

We get the result of:

$$
boxed{color{#c34632}V= 252 mathrm{~V}}
$$

Result
2 of 2
$$
V= 252 mathrm{~V}
$$
Exercise 15
Step 1
1 of 2
This problem is connected to Example 21.3 from the book and we look for how long does the flashlight need to work to produce 150 J of work. We can see that the emf delivered by the battery is 1.5 V and a current of 0.44 A is passing through the circuit.

Since we know the emf and the work needed to be done, we can calculate what amount of charge is being used in this circuit, with the relation for the work done by the battery.:

$$
W=(Delta Q) varepsilon
$$

expressing the charge from the relation above we have:

$$
Delta Q=frac{W} {varepsilon}=frac{150 mathrm{J}}{1.5 mathrm{~V}}
$$

which gives:

$$
Delta Q=100 mathrm{C}
$$

To get the time, we use the relation that defines the current:

$$
I=frac{Delta Q}{Delta t}
$$

Expressing time from this we have:

$$
Delta t=frac{Delta Q}{I} = frac{100 mathrm{C}}{0.44 mathrm{A}}
$$

which gives the result of:

$$
boxed{color{#c34632}Delta t=227.27 mathrm{~A}}
$$

Result
2 of 2
$$
Delta t=227.27 mathrm{~A}
$$
unlock
Get an explanation on any task
Get unstuck with the help of our AI assistant in seconds
New
Chapter 1: Introduction to Physics
Section 1.1: Physics and the Scientific Method
Section 1.2: Physics and Society
Section 1.3: Units and Dimensions
Section 1.4: Basic Math for Physics
Page 38: Assessment
Page 41: Standardized Test Prep
Chapter 2: Introduction to Motion
Section 2.1: Describing Motion
Section 2.2: Speed and Velocity
Section 2.3: Position-Time Graphs
Section 2.4: Equation of Motion
Page 66: Assessment
Page 71: Standardized Test Prep
Page 45: Practice Problems
Page 47: Practice Problems
Page 47: Lesson Check
Page 49: Practice Problems
Page 52: Practice Problems
Page 53: Lesson Check
Page 56: Practice Problems
Page 57: Lesson Check
Page 59: Practice Problems
Page 60: Practice Problems
Page 62: Practice Problems
Page 62: Lesson Check
Chapter 3: Acceleration and Acceleration Motion
Section 3.1: Acceleration
Section 3.2: Motion with Constant Acceleration
Section 3.3: Position-Time Graphs for Constant Acceleration
Section 3.4: Free Fall
Page 105: Assessment
Page 111: Standardized Test Prep
Chapter 4: Motion in Two Dimensions
Section 4.1: Vectors in Physics
Section 4.2: Adding and Subtracting Vectors
Section 4.3: Relative Motion
Section 4.4: Projectile Motion
Page 144: Assessment
Page 149: Standardized Test Prep
Chapter 5: Newton’s Laws of Motion
Section 5.1: Newton’s Laws of Motion
Section 5.2: Applying Newton’s Laws
Section 5.3: Friction
Page 180: Assessment
Page 187: Standardized Test Prep
Chapter 6: Work and Energy
Section 6.1: Work
Section 6.2: Work and Energy
Section 6.3: Conservation of Energy
Section 6.4: Power
Page 220: Assessment
Page 227: Standardized Test Prep
Page 191: Practice Problems
Page 193: Practice Problems
Page 196: Lesson Check
Page 196: Practice Problems
Page 199: Practice Problems
Page 201: Practice Problems
Page 203: Practice Problems
Page 204: Practice Problems
Page 205: Practice Problems
Page 206: Lesson Check
Page 209: Practice Problems
Page 211: Lesson Check
Page 213: Practice Problems
Page 214: Practice Problems
Page 215: Practice Problems
Page 216: Lesson Check
Chapter 7: Linear Momentum and Collisions
Section 7.1: Momentum
Section 7.2: Impulse
Section 7.3: Conservation of Momentum
Section 7.4: Collisions
Page 260: Assessment
Page 265: Standardized Test Prep
Chapter 8: Rotational Motion and Equilibrium
Section 8.1: Describing Angular Motion
Section 8.2: Rolling Motion and the Moment of Inertia
Section 8.3: Torque
Section 8.4: Static Equilibrium
Page 300: Assessment
Page 305: Standardized Test Prep
Page 269: Practice Problems
Page 271: Practice Problems
Page 272: Practice Problems
Page 275: Practice Problems
Page 275: Lesson Check
Page 277: Practice Problems
Page 280: Lesson Check
Page 284: Practice Problems
Page 286: Practice Problems
Page 287: Practice Problems
Page 289: Lesson Check
Page 294: Practice Problems
Page 295: Practice Problems
Page 296: Lesson Check
Chapter 9: Gravity and Circular Motion
Section 9.1: Newton’s Law of Universal Gravity
Section 9.2: Applications of Gravity
Section 9.3: Circular Motion
Section 9.4: Planetary Motion and Orbits
Page 336: Assessment
Page 341: Standardized Test Prep
Chapter 10: Temperature and Heat
Section 10.1: Temperature, Energy, and Heat
Section 10.2: Thermal Expansion and Energy Transfer
Section 10.3: Heat Capacity
Section 10.4: Phase Changes and Latent Heat
Page 378: Assessment
Page 383: Standardized Test Prep
Chapter 11: Thermodynamics
Section 11.1: The First Law of Thermodynamics
Section 11.2: Thermal Processes
Section 11.3: The Second and Third Laws of Thermodynamics
Page 410: Assessment
Page 413: Standardized Test Prep
Chapter 12: Gases, Liquids, and Solids
Section 12.1: Gases
Section 12.2: Fluids at Rest
Section 12.3: Fluids in Motion
Section 12.4: Solids
Page 446: Assessment
Page 451: Standardized Test Prep
Chapter 13: Oscillations and Waves
Section 13.1: Oscillations and Periodic Motion
Section 13.2: The Pendulum
Section 13.3: Waves and Wave Properties
Section 13.4: Interacting Waves
Page 486: Assessment
Page 491: Standardized Test Prep
Chapter 14: Sound
Section 14.1: Sound Waves and Beats
Section 14.2: Standing Sound Waves
Section 14.3: The Doppler Effect
Section 14.4: Human Perception of Sound
Page 523: Assessment
Page 527: Standardized Test Prep
Page 495: Practice Problems
Page 496: Practice Problems
Page 500: Practice Problems
Page 501: Lesson Check
Page 503: Practice Problems
Page 504: Practice Problems
Page 506: Practice Problems
Page 506: Lesson Check
Page 510: Practice Problems
Page 511: Practice Problems
Page 512: Lesson Check
Page 514: Practice Problems
Page 516: Practice Problems
Page 517: Practice Problems
Page 519: Lesson Check
Chapter 15: The Properties of Lights
Section 15.1: The Nature of Light
Section 15.2: Color and the Electromagnetic Spectrum
Section 15.3: Polarization and Scattering of Light
Page 557: Assessment
Page 563: Standardized Test Prep
Chapter 16: Reflection and Mirrors
Section 16.1: The Reflection of Light
Section 16.2: Plane Mirrors
Section 16.3: Curved Mirrors
Page 590: Assessment
Page 595: Standardized Test Prep
Chapter 17: Refraction and Lenses
Section 17.1: Refraction
Section 17.2: Applications of Refraction
Section 17.3: Lenses
Section 17.4: Applications of Lenses
Page 629: Assessment
Page 635: Standardized Test Prep
Chapter 18: Interference and Diffraction
Section 18.1: Interference
Section 18.2: Interference in Thin Films
Section 18.3: Diffraction
Section 18.4: Diffraction Gratings
Page 668: Assessment
Page 673: Standardized Test Prep
Chapter 19: Electric Charges and Forces
Section 19.1: Electric Charge
Section 19.2: Electric Force
Section 19.3: Combining Electric Forces
Page 698: Assessment
Page 703: Standardized Test Prep
Chapter 20: Electric Fields and Electric Energy
Section 20.1: The Electric Field
Section 20.2: Electric Potential Energy and Electric Potential
Section 20.3: Capacitance and Energy Storage
Page 738: Assessment
Page 743: Standardized Test Prep
Chapter 21: Electric Current and Electric Circuits
Section 21.1: Electric Current, Resistance, and Semiconductors
Section 21.2: Electric Circuits
Section 21.3: Power and Energy in Electric Circuits
Page 775: Assessment
Page 781: Standardized Test Prep
Chapter 22: Magnetism and Magnetic Fields
Section 22.1: Magnets and Magnetic Fields
Section 22.2: Magnetism and Electric Currents
Section 22.3: The Magnetic Force
Page 810: Assessment
Page 815: Standardized Test Prep
Chapter 23: Electromagnetic Induction
Section 23.1: Electricity from Magnetism
Section 23.2: Electric Generators and Motors
Section 23.3: AC Circuits and Transformers
Page 844: Assessment
Page 849: Standardized Test Prep
Chapter 24: Quantum Physics
Section 24.1: Quantized Energy and Photons
Section 24.2: Wave-Particle Duality
Section 24.3: The Heisenberg Uncertainty Principle
Page 876: Assessment
Page 881: Standardized Test Prep
Chapter 26: Nuclear Physics
Section 26.1: The Nucleus
Section 26.2: Radioactivity
Section 26.3: Applications of Nuclear Physics
Section 26.4: Fundamental Forces and Elementary Particles
Page 944: Assessment
Page 947: Standardized Test Prep