Answered: The current through a conductor is…

The current through a conductor is modeled as I(t) = Im sin (2π[60 Hz]t) . Write an equation for the charge as a function of time.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 15P: If the current carried by a conductor is doubled, what happens to (a) the charge carrier density,...

See similar textbooks

Related questions

Q: A conductor of uniform radius 1.20 cm carries a current of 2.60 A produced by an electric field 116…

A: we know current density J =I/A where I is amount of current flowing =2.60 A A = area of cross…

Q: The time variation of the charge passing by a conductor is given by q(t)=2+2t, where q is given in…

Q: An electric current in a conductor varies with time according to the expression I(t) = 100 sin…

Q: The amount of charge that passes through a system is given by Q(t), measured in coulombs. Current is…

Q: The resistance of a wire is given by R = Ro[1+ a(T – T.)] where T. - 20 °C, R. = 6 N ± 0.3 % is the…

A: Formula for resistance; Base temperature Resistance at base temperature Temperature coefficient…

Q: A wire of radius 1 mm and conductivity 5× (10) ^7 S/m if an electric field of 6 mV/m is applied.…

Q: Consider a resistor of resistivity 4.12 × 10-8 Ω • m. If an electric field of 19 V/m is applied…

A: Electric field and resistivity relation is E=ρJ Here ρ is resistivity, E is electric field and J is…

Q: An electric current in a conductor varies with time according to the expression I(t) = 84 sin…

Q: A 200-km-long high-voltage transmission line 2 cm in diameter carries a steady current of 1000 A. If…

Q: The vector current density of a 3-meter-long and 3mm diameter conductor is given as 155630 A/m?.…

Q: An electric current in a conductor varies with time according to the expression I(t) = 94 sin…

A: Given that,An electric current in a conductor varies with time according to the expression I(t) = 94…

Q: The current in a wire varies with time t according to the relation: I(t) = 3+3t². where the current…

Q: In the Bohr model of the hydrogen atom, an electron in thelowest energy state moves at a speed equal…

Q: In a wire carrying a current of 1.0 pA, how long do you have to wait, on the average, forthe next…

A: In a wire carrying a current of 1.0 pA, how long do you have to wait, on the average, forthe next…

Q: A copper wire of 3mm diameter with conductivity of 5.8 10' (12m), and clectron mobility of 0.0032 m…

A: Given data: The diameter of the copper wire is, d= 3 mm The conductivity of the copper wire is,…

Q: An electric current in a conductor varies with time according to the expression I(t) = 110 sin…

A: I(t)=110sin90πttime, is from 0 to 1/180 sec.

Q: A general relationship for the current density carried by electrons of density /I is J = qnv. where…

A: a) We know that current density(J) of electron is denoted as mentioned below. Where, q denotes…

Q: In this part of the experiment, you will investigate the physical parameters that have an effect on…

Q: A piece of a conductive square-shaped material with a side length of 3 cm and placed in an electric…

A: Here given a piece of square shaped material with side 3 cm.The electric field is 3 v/m. The current…

Q: Calculate the specific conductivity of the conductor in Mega(Ωm)-1 since the current passing through…

Q: The quantity of charge through a conductor is modeled as Q(t)=(4.7)t4+(−1.2)t+(6.8) C What is the…

Q: A copper wire of 3mm diameter with conductivity of 5.8x10' (2.m)', and clectron mobility of 0.0032…

Q: An electric current in a conductor varies with time according to the expression I(t) = 110 sin…

A: Solution:-current in conductor is given by It=110 sin90πtwe have to find total charge…

Q: What is the value of current if a 1000 C charge flows in a conductor over a period of 5 minutes. O…

A: Given Data : The charge flow in the conductor is Q = 1000 Coulomb Total time t = 5 minutes = 300…

Q: If the current passing through a resistor is reduced to 0.3 of its value due to an increase in the…

Q: A conductor carries a current that is decreasing exponentially with time. The current is modeled as…

Q: The time variation of the charge passing by a conductor is given by g(t)=21+2t, where q is given in…

Q: The current in a conductor varies in time according to /(t)= 53 e2, where / is in amperes and t in…

Q: The time constant is defined as the time required for the current to drop to 0.37 from its original…

A: Solution: Time constant is defined as the time required for the current to drop to 0.37 from its…

Q: The time variation of the charge passing by a conductor is given by q(t)=21+2t, where q is given in…

A: Solution

Q: The charge on a capacitor in a circuit is modeled as Q(t) = Qmax cos (ωt + ϕ). What is the current…

A: It is known that current is defined as rate of flow of charge through a circuit . So, when a charged…

Q: determine the drift velocity, in mm/s, of the free electron constituting the current.

A: Given: Resistivity of resistor, ρ=3.83×10-8Ωm Electric field, E=18V/m Electron per volume is,…

Q: The quantity of charge (in C) that has passed through a certain surface area varies with time…

A: Given: The quantity of charge is given as,

Q: k 34. Translate "The current (x) in a wire varies directly as the potential energy (P) and inversely…

A: solution as

Q: An electric eel develops a potential difference of 450 V, driving a current of 0.80 A for a 1.0 ms…

A: Given values: Potential difference, V=450 V Driving current, I=0.80 A Duration of pulse, t=1.0 ms

Q: A conductor carries a current that is decreasing exponentially with time. The current is modeled as…

A: Given: current equation: I=Ioe-t/τ where Io=3.00 A and τ=0.50 s

Q: In the SI system of units, one coulomb (1 C) is defined to be the charge that passes a point every…

A: Given, I = 2 A t = 5 min = 300 seconds

Q: Find the ratio of the resistances of a copper wire to an aluminum wire if the length and diameter of…

A: Rco=ρcoLcoπdco2/4=4ρcoLcoπdco2 Ral=4ρalLalπdal2=4ρal2Lcoπ2dco2=2ρalLcoπdco2

Q: Show that, according to the free-electron model of electrical conduction in metals and classical…

Q: The student runs an experiment on a cylindrical wire of a length l of 2 centimeters and the cross-…

Q: The current in a conductor varies in time according to /(t)= 63 e-2, where / is in amperes and t in…

A: Necessary formula

Q: In this part of the experiment, you will investigate the physical parameters that have an effect on…

A: Given: Conductors are used to investigate physical parameters affecting conductor's resistance as…

Q: If a current of 5A passes through a conductor with a resistance of 7 Ω, 3 minutes of walking, How…

A: Current, Resistance, Time, Charge on an electron,

Q: Consider a resistor of resistivity 3.96 × 10-8 Ω • m. If an electric field of 12 V/m is applied…

A: The macroscopic form of the ohm's law relates the electric field in the conductor to the Current…

Q: If the charging current when measured was 0.35 Ampere at t = 2.5r, where t is the time constant,…

A: We know thatI=I0e-(t?)HereI=Current at time tI0=Intial current?=time constantt=time

Q: An electric current in a conductor varies with time according to the expression I(t) = 106 sin…

A: Given: The current variation in conductor is I=106sin180πt

Q: If the copper wire of an electromagnet has a resistance of 0.300 Ω when at room temperature (20 oC)…

A: Given: The resistance of the wire at a temperature of 20oC is 0.300 Ω. The final resistance of the…

Q: A conductor of uniform radius 1.16 cm carries a current of 2.70 A produced by an electric field of…

A: According to question --- Given values-- radius = 1.16 cm. current = 2.7 Amp. electric field = 119…

Q: The current in conductor varies with time t as I = 2t + 3t? where I is in ampere and t in seconds.…

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

The current through a conductor is modeled as I(t) = Im sin (2π[60 Hz]t) . Write an equation for the charge as a function of 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

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

If the current carried by a conductor is doubled, what happens to (a) the charge carrier density, (b) the current density, (c) the electron drift velocity, and (d) the average time interval between collisions?
An electric current in a conductor varies with time according to the expression I(t) = 100 sin (120πt), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = (1)/(240) s?
The current in a wire varies with time t according to the relation: I(t) = 3+3t². where the current I in Ampere and time t in seconds. How many coulombs of charge pass section of the wire in the time interval between t = 0 andt= 3s? *
The magnitude of the current density in a certain lab with a circular cross section of radius R=4.00 mm is given by J= (3.00 × 10^8) r^2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.500R and r = R ?
A high-voltage transmission line with a diameter of 2.00 cm and a length of 200 km carries a steady currentof 1 000 A. If the conductor is copper wire with a freecharge density of 8.46 ×1028 electrons/m3, over whattime interval does one electron travel the full length of the line?
The quantity of charge Q that has passed through a surface of area 6.00 mm2 varies with time according to the equation Q = 2t2 + 10, where t is in seconds. What is the instantaneous current through the surface at t = 2.6 s?
A conductor carries a current that is decreasing exponentially with time. The current is modeled as I = I0 e−t/τ , where I0 = 3.00 A is the current at timet = 0.00 s and τ = 0.50 s is the time constant. How much charge flows through the conductor between t = 0.00 s and t = 3τ ?
The magnitude J of the current density in a certain wire with a circular cross section of radius R = 2.21 mm is given by J = (3.18 × 108)r2, with J in amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.927R and r = R?
The quantity of charge through a conductor is modeled as: q(t)=at4+bt+c If a = 5.02C/s4, and b = -4.36C/s, and c = 1.75μC, then what is the current, in amperes, at t=1.45s?
An electric eel develops a potential difference of 450 V, driving a current of 0.80 A for a 1.0 ms pulse. For this pulse, find (a) the power, (b) the total energy, and (c) the total charge that flows.
The charge on a capacitor in a circuit is modeled as Q(t) = Qmax cos (ωt + ϕ). What is the current through the circuit as a function of time?
A general relationship for the current density carried by electrons of density /I is J = qnv. where q is the electronic charge and II is the electron velocity.