While tracking the speed of individual particles is great, a more useful and simpler quantity to measure is current which Is the amount of charges moving through some cross-sectional area per unit time. It has units of Coulombs per second (or Amps) and is abbreviated by the symbol i. See if you can write out a formula for the current through a section of wire with cross sectional area A given the average speed of particles v, the charge on each particle, q, and the number of charges per unit volume, n. Use dimensional analysis for this formula. Which of the terms in your formula do you think the electric field can influence?

While tracking the speed of individual particles is great, a more useful and simpler quantity to measure is current which Is the amount of charges moving through some cross-sectional area per unit time. It has units of Coulombs per second (or Amps) and is abbreviated by the symbol i. See if you can write out a formula for the current through a section of wire with cross sectional area A given the average speed of particles v, the charge on each particle, q, and the number of charges per unit volume, n. Use dimensional analysis for this formula. Which of the terms in your formula do you think the electric field can influence?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Problem 8: A long bar with square cross-section is being used to carry current between two…

A: Square cross-section Electric field Current The number density of charge

Q: Using Excel and the data for the light bulb, plot V vs i, with the equation for the trendline…

A: Ohm's law gives the relation connecting voltage and current. Ohm's law states that the voltage…

Q: 500mA of a current is flowing through a filament of a lightbulb. How many coulombs of charge move…

Q: The current density is a vector whose magnitude J is the current 1 per unit cross-sectional area A.…

A: I = 3.6 mA A= 7.2 × 10-6 m2

Q: The table given below shows the resistivity of three Material X, Y and Z? Samples X Y Z Resistivity…

A: a. As we know, Conductivity is inversely proportional to ResistivitySo, Higher the Resistivity,…

Q: A set of current (I) and voltage (V) data is collected for a given circuit. The current is measured…

A: From Ohm's law, we know V = I R V is Voltage , I is current and R is resistance.

Q: A resistor is wired to a battery in a circuit and dissipates a power P1 as heat. A second resistor,…

A: Given, Power dissipated by single resistor= P1 The power dissipated by two resisters when in series=…

Q: Three resistors, R1= 30 Ω, R2= 77 Ω, and R3=R, are connected in parallel with a 12 V battery. A)…

Q: Suppose 1.67 C of charge passes through the filament of a light bulb in 2.00 seconds. How many…

A: Current in the light bulb is I=1.67 C2.00 s=0.835 A = 835 mA

Q: Part A If there is an annealed copper wire with resistivity 0.172 nano ohm meters and a diameter of…

A: resistivity = 0.172×10-9 ohm - meter diameter = 2 mm radius = 1 mm Length = L electric field (E) =…

Q: Given that the voltage of the power supply (the circled - + is a power supply) is 100 V. What is the…

Q: a current 2A flows in a copper wire over a length of 3 km and 1,1 mm.known copper conductivity is…

Q: The resistivity of a metal increases slightly with increased temperature. This can be expressed as…

Q: A wire with resistivity 1.8 x 10-7 Ω m has a resistance of 0.45 Ω and a length of 2.0 m. What is the…

A: Given data: The given resistivity of wire is = 1.8×10-7 ohm-m The value of resistance is R = 0.45…

Q: An electric current in a conductor varies with time according to the expression I(t) =…

A: Electric current is generated due to the flow of charges. It is the rate of change of charge with…

Q: Voltage (V) 2.86 2.43 2.10 1.98 1.72 1.00 0.68 0.50 Current (mA) 5.63 4.76 4.27 4.05 3.31 1.96 1.39…

A: We know the slope of Voltage current graph is resistance.

Q: What is the electric field of a material when the current is equal to 25A, the resistance is…

A: Write the given value of this problem. Current(I)=25 AResistance(R)=78 ohmCurrent density(J)=24…

Q: A length of aluminum wire is connected to a precision 10.00-V power supply, and a current of 0.4212…

Q: a) Find an expression for the electric field strength inside the metal as a function of the radius r…

Q: What is the resistance of a wire made of a material with a resistivity of 3.2 x 10 -8 12 m if its…

Q: What is the resistance of a wire made of a material with a resistivity of 3.2 x 10 -8 if its length…

Q: Q1: A conductive wire has a resistivity of (0.649×10-8(Q.m)') at room temperature are (5.8x10» )…

A: Given- Conductivity σ=0.649×10-8(Ω.m)-1So,Resistivity ρ=1σ=10.649×10-8=1.54×108Ω.m Conduction…

Q: current of I = 7.3 A is passing through a conductor with cross sectional area A = 6.5 × 10-4 m2. The…

Q: The resistance of a cleaved single crystal of NaCl is measured as 100 ohms. The dimensions of the…

A: Given that the resistance of a cleaved single crystal of NaCl is measured as 100 Ω. Dimensions of…

Q: wire

A: Given: The potential difference across the wire = 4 Volts Length of the wire = 5 m Cross-sectional…

Q: A 20-meter length of wire with a diameter of 3.0 mm is found to have a resistance of 3.12 ohms. What…

A: The resistivity of the wire. given, diameter(d)= 3.0 mmor , radiusr=1.5 mm=1.5×10-3 mresistancer…

Q: Part A: How long must a 0.68-mm-diameter aluminum wire be to have a 0.42 A current when connected to…

A: Part A:Given Information:Diameter of the wire d = 0.68 mmCurrent I = 0.42 AVoltage V = 1.5

Q: A lightning bolt carried a current of 2 kA and lasted for 3 ms. How many coulombs of charge were…

A: To calculate the charge of a lightning boltgiven current time

Concept explainers

Ohm's law

Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.

Path of Least Resistance

In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.

Question

100%

While tracking the speed of individual particles is great, a more useful and simpler quantity to
measure is current which is the amount of charges moving through some cross-sectional area
per unit time. It has units of Coulombs per second (or Amps} and is abbreviated by the symbol i.
See if you can write out a formula for the current through a section of wire with cross sectional
area A given the average speed of particles v, the charge on each particle, q, and the number of
charges per unit volume, n. Use dimensional analysis for this formula.
Which of the terms in your formula do you think the electric field can influence?

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

A wire of one metal has twice the resistivity, twice the diameter and twice the length of a wire of another metal. What is the ratio of the resistances of the two wires? Give a numberical value and explain your reasoning.
A wire is 1m long and 1x10–6 m2 in cross-sectional area. When connected to a potential difference of 2V, a current of 4A exists in the wire. What is the resistivity of the wire?
file is attached
A current of 4.4 A flows for 16.0 s through a conductor. Calculate the number of electrons that pass through a point in the conductor during this time. Answer format: 1.23e+45
Write the solution on a paper.
You and a group of friends are on a day trip to a nearby national park. After a fun-filled day of fishing and boating, you are ready to head back home when you find that your car battery is dead. Your friend offers to use his car's battery and jumper cables to charge yours. The connections are shown in the two diagrams below. The internal resistance of your car battery is r = 3.15 N, that of your friend's battery is r = 0.01 A, and that of the starter is r, = 0.07 n. The live battery has a voltage of 12.0 v and the dead battery in your car has a voltage of 10.0 V. What are the currents through the starter and the dead battery? (Enter your answer for I, to least one decimal place.) I= 150.0283142 0.563162286 Use your value for I, to find the current through the dead battery. A ww live battery dead battery ww starter ignition switch ww