(a) What are the units of resistivity (in terms of the fundamental units of kg, m, s, C)? (b) What are the units of current density (in terms of the fundamental units of kg, m, s, C)? (c) Confirm that equation 24.3 has the same units on both sides of the equal sign.

(a) What are the units of resistivity (in terms of the fundamental units of kg, m, s, C)? (b) What are the units of current density (in terms of the fundamental units of kg, m, s, C)? (c) Confirm that equation 24.3 has the same units on both sides of the equal sign.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter20: Electric Current, Resistance, And Ohm's Law

Section: Chapter Questions

Problem 60PE: Integrated Concepts (a) What energy is dissipated by a lightning bolt having a 20,000-A current, a...

See similar textbooks

Related questions

Q: 4. Write the standard form. a) speed of light in a vacuum = 298 G8³ km/s b) One year light year = 16…

A: In standard form, a number is written in form of a×10n, where 1≤ a ≤ 10.

Q: 8-1 Two strings, of tension T and mass densities 1 and 2, are connected together. Consider a…

A: Wave speed (V) in a string with tension T and mass density μ: V= Tμ The ratio of amplitude of…

Q: air velocity of a fan that blows 1500 cubic feet per minute? air velocity of a fan that blows 1275…

A: Air flow rate and volume: Air flow rate is a measure of how much air passes through a given volume…

Q: 4) The position versus time of a particle moving along the x-axis is given by: x(t) = 6t²-t³. Find…

Q: . A baseball is thrown with an initial speed of 20 m/s at an angle of 45 degrees above the…

A: A baseball is thrown with an initial speed of 20m/s at an angle of 45 degree.

Q: A 25 m wire has a diameter of 1 mm. If the wire has a total resistance of 16 Ω, what is the wire’s…

Q: Sinusoidal (ac) voltage and current are measured in a resistive circuit. The peak voltage, Vo, is…

Q: 2.00 x 100 electrons flow through a cross section of a 4.60-mm-diameter iron wire in 4.00 s You may…

Q: 4) A freight train left Smithfield at 1:00pm and traveled 100 km ea the final destination at 3:00pm.…

Q: Consider a soap film that is the thinnest film that will produce a bright blue light when…

Q: Moving charge generates a magnetic field. A) True B) False

Q: A particular form of electromagnetic radiation has a frequency of 6.41 x 10¹ Hz. 15 Part 1 of 3 What…

Q: You have a light spring which obeys Hooke's law. This spring stretches 3.22 cm vertically when a…

A: Given data: The mass is m = 2.00 kg The displacement in the spring is x =3.22 cm (a) The force…

Q: A rocket is launched from the ground with an initial speed of 100 m/s at an angle of 60 degrees…

A: Given that, The initial speed of the rocket, vo=100 m/s Projectile angle, θ=60o Maximum height…

Q: The resistivity of pure germanium = 600 x 10-3 m. Calculate the resistance of a cylinder of pure…

Q: Problem 2 (Electrical potential) Two spheres with radius R1 and R2 are grounded, see Fig. A charge q…

A: Given:Radius of smaller sphere: R1Radius of larger sphere: R2Distance between center of spheres and…

Q: 20. A ray of light in the air hits a block of transparent material at an incident angle 0f 62°. The…

A: A ray of light in the air hits a block of transparent material at an incident angle of 62°. The…

Q: A protostar evolves from a temperature T = 3500 K and a luminosity L = 5000 times that of the Sun to…

A: Given data: The initial temperature of the protostar is T1=3500 K. The initial luminosity of the…

Q: 24 kg box is being pulled by a horizontal rope along a floor at a constant speed (v = 1.0m/s). There…

Q: Two capacitors of capacitance C₁ = 500 nF and C₂ = 1.5 µF are connected in parallel across a cell…

Q: Figure 20° 5.0 N 3.0 N 2.82 N Part A What is the value of a, the x-component of the object's…

Q: A proton is placed in a uniform electric field of 3.73 × 103 N/C. Calculate the magnitude of the…

Q: electric field for r² A 15 2 Pa² E teor Potential difference Av=V₁-V₁ F

A: Electric field E is given by E⇀= ρ a22ε0 r r ^ We need…

Q: Vector A has magnitude 4 units, vector B has magnitude 6 units. The angle between A and B is 60°.…

Q: (e) A light ray is incident on the left side of the prism shown in the figure below. The prism is a…

A: Analyze the following figure. a) As per Snell’s law, the prism’s refractive index can be…

Q: Spherical Symmetry: Uniform Distribution Use gauss law to find the electrical field at r1, and r2.…

Q: 3. What is the net electric flux through the cylinder A and cylinder B? 2R 2.R

Q: The system shown in the figure below is used to lift an object of mass m = 75.5 kg. A constant…

A: Given Data: Object mass m=75.5 kg (a) Required force Tension in the upper rope T=T1…

Q: A 15kg box is placed on top of a spring with a natural length of 30cm. The weight of the box…

Q: The aurora is caused when electrons and protons, moving in the earth’s magnetic field of ≈5.0×10^−5…

A: GIVEN magnetic field of eath ≈ 5.0×10−5T

Q: A skier starts from rest at the top of a hill that is inclined at 10.0° with respect to the…

Q: in this photo you have a pole and a yellow light attached to the pole. draw free body diagrams of…

Q: A hair dryer is connected across a 64 V outlet. The resistance of the hair dryer is 43 Ω. a) What…

Q: An electric drill starts from rest and rotates with a constant angular acceleration. After the drill…

Q: An electrical outlet for an electric stove provides a potential difference of 213 V, rms. Find the…

A: To find the amplitude (V0) of an AC voltage signal in terms of the rms voltage (Vr), we can use the…

Q: 1₁ a 1₂ 40 Ω g ww 13 b &₁ = 80 V ㅏㅏ f h r = 1Ω ww r= &,= 1Ω 45 V www. with 82 e d 20 Ω

Q: Consider the following figure. (a) Find the electric potential, taking zero at infinity, at the…

Q: Explain Newton's laws of motion.

A: There is three newtons Law of motion.. 1) Newton's first law states that every object will remain at…

Q: a Given a star formation rate of 50 M yr−1, what is the measured Hα flux, in erg/sec? b What types…

A: A. To calculate the measured Hα flux we need to use the Kennicutt-Schmidt relation which relates the…

Q: An electromagnet works because OA) each atom has moving charge (orbiting electrons) - and moving…

A: An electromagnet is a magnet whose magnetic field is generated by using electricity. A permanent…

Q: A person standing 1.10 m from a portable speaker hears its sound at an intensity of 3.90 x 10-³…

A: Given Distance from speaker ( d ) = 1.10m sound intensity ( I1 ) = 3.90 x 10-3 W/m2 ( a ) decibal…

Q: Human nerve cells have a net negative charge and the material in the interior of the cell is agood…

A: Given data: Net charge, Qenclosed=-8.65 pC =-8.65×10-12 C

Q: 2. Jason also makes a home-made power supply to illuminate battery-powered glowing lightsabers. a.…

A: Faraday's laws of electromagnetism state that whenever the magnetic flux associated with a…

Q: Two capacitors of capacitance C₁ = 2C and C₂ = 3C are connected in parallel across a cell with emf…

A: Given Data: C1 = 2C C2 = 3C

Q: ose you have a concave mirror as shown in the image below. If h - 1.6m is the height of an object…

Q: The figure shows three forces applied to a trunk that moves leftward by 2.74 m over a frictionless…

Q: There are two spheres of different charges, one with three times the charge of the other. The…

Q: Which of these energies can be negative? O The gravitational potential energy of a star-planet…

A: Gravitational potential energy is negative because the zero of gravitational potential energy is at…

Q: Determine the electric ﬂux through a Gaussian surface that contains 63 protons and 56 electrons. Use…

A: Given:- a Gaussian surface that contains The number of protons is n = 63 protons The number of…

Q: 2. A particle is projected vertically upwards from the ground with an initial velocity of 20 m/s. If…

A: Given Data: Initial velocity of the particle (u) = 20 m/s.Acceleration due to gravity (g) = -98…

Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

1. A B C

ed va gives the current density:
J = nqva (current density)
(24.3)
ensity is uniform, as in a wire, the total current is just the product
and the wire's cross-sectional area A: I- JA But when the current

The SI unit of charge, as you know, is a Coulomb (C). The unit of current is the Ampere: 1 A=1C/s.
(a) What are the units of resistivity (in terms of the fundamental units of kg, m, s, C)?
(b) What are the units of current density (in terms of the fundamental units of kg, m, s, C)?
(c) Confirm that equation 24.3 has the same units on both sides of the equal sign.
(d) Confirm that equation 24.4a, the microscopic version of Ohm's law, has the same units on both
sides of the equal sign.
(e) Confirm that equation 24.7, the expression for electrical power, has units of energy divided by
time.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Consider positive and negative charges all moving horizontally with the same speed through the four regions in Figure 17.2. Rank the magnitudes of the currents in these four regions from lowest to highest. (Ia is the current in Figure 17.2a, Ib the current in Figure 17.2b, etc.) (a) Id, Ia, Ic, Ib (b) Ia, Ic, Ib, Id (c) Ic, Ia, Id, Ib (d) Id, Ib, Ic, Ia (e) Ia, Ib, Ic, Id (f) None of these Figure 17.2 (Quick Quiz 17.1)
The human body can exhibit a wide range of resistances to current depending on the path of the current, contact area, and sweatiness of the skin. Suppose the resistance across the chest from the left hand to the right hand is 1.0 106 . (a) How much voltage is required to cause possible heart fibrillation in a man, which corresponds to 500 mA of direct current? (b) Why should rubber-soled shoes and rubber gloves be worn when working around electricity?
The batteries of a submerged non-nuclear submarine supply 1000 A at full speed ahead. How long does it take to move Avogadro’s number (6.02 1023) of electrons at this rate?
Q3: 42. Find and graph the charge q(t) and the current i(t) in the LC-circuit in Fig. 151, assuming L 1 H, C = 1 F, v(t) = 1 - e-t if 0 T, and zero initial current and charge. v(t) Fig. 151. LC-circuit
58. An electric heater is tested by immersing it in 0.500 kg of water DATA and measuring the time At it takes to raise the water temperature by 10.0°C. The experiment is repeated for different currents I through the heater, and the results are tabulated below. Determine two quantities, based on heating time and current, which, when plotted, will give a straight line. Make your plot, determine a best- fit line, and use it to find the heater's resistance. Hint: You may need to consult Chapter 16. I(A) 2.00 4.00 6.00 8.00 10.0 At (s) 422 112 44.3 28.2 16.9
The discharging current in the atmosphere due to the small conductivity of air is known to be 1800 A on an average over the globe. Why then does the atmosphere not discharge itself completely in due course and become electrically neutral? In other words, what keeps the atmosphere charged?
1. (OpenStax, Ch. 9, problem #25) The quantity of charge through a conductor is modeled as Q = 4.00* – - 1.00ºt + 6.00mC What is the current at time t = 3.00s? R1 E1 E2 R2 P
The resistance of the skin on a person's finger is typically about 10,000 N. How much voltage would be needed to cause a current of 0.001 A to flow into the finger? (This is about enough current to just be felt by most people.) Need Help? Read It Watch It MY N OTEC [-/2 Points] DETAILS OBINPHYS8 7.P.013.
The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm? varies (with time according to the equation q = 4t + 5t + 6, where t is in seconds. What is the instantaneous current through the surface at t= 2.00 s? O A) 25 A O B) 53 A O C) 36 A O D) 17 A O E) 42 A
The deﬁnition of resistivity (ρ = E/J) implies that an electric ﬁeld exists inside a conductor. Yet we saw in Unit 1 (i.e. Faraday Cage) that there can be no electric ﬁeld inside a conductor. Is there a contradiction here? Explain.
Hi, please help me to solve this problem pls show the solution. Thank you very much. Keep safe QUESTION: A mysterious device found in a forgotten laboratory accumulates charge at a rate specified by the expression q(t) = 9−10t C from the moment it is switched on. Determine the current flowing into the device at t = 1 s,
(1) What is a definition of electric current? Label the variables. (2) Suppose that 1016 electrons pass through a cross-section of a wire each second. What is the current in the wire? (3) The current in a wire varies with time according to the relation / = 5+3t where I is in amperes andt is in seconds. What is the number of coulombs of charge that pass a cross section of the wire between t=3s and t=5s?