The magnitude J(r) of the current density in a certain cylindrical wire is given as a function of radial distance from the center of the wire’s cross section as J(r) = Br, where r is in meters, J is in amperes per square meter, and B =2.00 * 10^5 A/m3.This function applies out to the wire’s radius of 2.00 mm. How much current is contained within the width of a thin ring concentric with the wire if the ring has a radial width of 10.0 mm and is at a radial distance of 1.20 mm?

Q: What is the current in a wire of radius R = 3.08 mm if the magnitude of the current density is given…

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

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Q: The current supplied to an air conditioner unit is 4.20 amps. The air conditioner is wired using a…

A: .Given that-Current supplied to the air-conditioner, I= 4.2 ADiameter of the wire, d= 2r=2.588…

Q: Determine the drift speed if given a cylindrical conductor of radius 1.50 mm with current density…

A: Drift velocity v is given as v= dA/ne ,where n is the electron density, d is the current density and…

Q: A current of 1 = 7.62 A is passing through a conductor with cross sectional area A = 7.11 x 104 m².…

A: The current passing through the conductor, The cross-sectional area of the conductor, The number…

Q: A solid steel wire has a cross-sectional area of 8.05 x 10-6 m2 and is carrying a constant current…

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Q: During the 3.7 min a 6.0 A current is set up in a wire, how many (a) coulombs and (b) electrons pass…

A: (a) The amount of coulomb that passes through any cross section of the wire’s width is given by…

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 quantity of charge q (in coulombs) that has passed through a surface of area 1.90 cm2 varies…

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Q: A wire with square XY-section (side length = 35 mm) carries a current density = 7 · x ·y · î , in…

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Q: If a wire of radius a = 9.0 mm has got non-uniform current density J = Jo (1- (r/a)) where r is…

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Q: he quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm2 varies with…

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Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2 cm² varies with…

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Q: In a conductor the charge carriers are positive and/or negative. For example, the charge carriers in…

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Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm2 varies…

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Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies…

A: Given: q=4t3+6t+6A=2.05 cm2   =2.05×10-4 m2

Q: The magnitude of the current density in a certain lab with a circular cross section of radius R=4.00…

A: Given: The radius is R=4 mm. The magnitude of the current density is J=3×108r2. The outer section…

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 4.19 cm2 varies…

A: Recall     J=curent density=i/A    also i=dq/dt

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm² varies…

A: Surface area is Charge as a function of time is ; here  is in  and charge  is in Note:Find:(a)…

Q: 1. The magnitude J of the current density in a certain wire with a circular cross section of radius…

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Q: A tungsten wire at with length, L = 1.83 m, carries a current with density, J = 1.35 x 107 A/m², at…

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Q: An iron wire with cross-section 3.5 x 10 m2 carries current 135 A. Find the drift velocity Va, in…

A: Given that,                 cross section area of iron wire(A)=3.5×10-6 m2                  current…

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm2 varies…

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Q: The current supplied to an air conditioner unit is 4.20 amps. The air conditioner is wired using a…

A: Given: The current supplied to the air-conditioner is I = 4.2 A The diameter of the wire is d = 2 r…

Q: A cylindrical resistor of length a, circular cross-sectional area of radius a, and resistivity…

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Q: The magnitude J of the current density in a certain wire with a circular cross section of radius R =…

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Q: A cylindrical conducting wire which is 65.42cm long, 64.26mm thick and resistivity of 5.85Ω.m, If…

A: Given Data, Length of wire L =65.42 cmthickness t = 64.26 mmresistivity ρ=5.85 Ωmcurrent I =12.9…

Q: During the 4.8 min a 4.5 A current is set up in a wire, how many (a) coulombs and (b) electrons pass…

A: time (t) = 4.8 minutes = 4.8×60 seconds = 288 seconds current (i) = 4.5 A

Q: A tungsten wire at with length, L = 1.83 m, carries a current with density, J = 1.35 x 107 A/m², at…

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Q: A wire has a radius of 2.5 m.  The current density carried by the wire is a function of distance…

A: As it is well known that the current  and current density are related as:…

Q: The quantity of charge q (in coulombs) that has passed through a surface of area 2.10 cm2 varies…

A: Instantaneous current is given by :- I = d(q)/d(t) Here, I = instantaneous current q = charge = 5t3…

Q: The current supplied to an air conditioner unit is 2.50 amps. The air conditioner is wired using a…

A: The problem can be solved by using the concepts of current density and drift velocity. Current…

Q: he magnitude J of the current density in a certain wire with a circular cross section of radius R =…

A: This is a question regarding the relationship between the current and current density. When the…

Q: The charge in an electronic device satisfies Q(t) = 4.15t³ + 2.72t + 3.28/t² Coulombs. What is the…

A: Given Data :Charge as a function of time is given asQ(t) = 4.15t3+2.72t+3.28t2 Let I denotes the…

Q: The vector current density of a 3-meter-long and 3mm diameter conductor is given as 155630 A/m2.…

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Q: What is the instantaneous current through the surface at t What is the value of the current…

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Q: (II) A car can decelerate at -3.80 m/s2 without skidding when coming to rest on a level road. What…

A: tIt is given that,

Q: The magnitude J of the current density in a certain wire with a circular cross section of radius R =…

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Q: A tungsten wire at with length, L = 1.83 m, carries a current with density, J = 1.35 x 10 A/m², at a…

A: Given , L =1.83 m J = 1.35 x 107 A/m2 σ =1.80 × 107 ℧. m-1 The resistance of wire at 200 C is R=…

Q: An iron wire with cross-section 2.1 x 10 ºm² carries current 149 A. Find the drift velocity Va, in…

A: Area of cross section of wire(A)=2.1×10-6 m2 Current (I)=149 A  Number density of electrons in Iron=…

Q: The current-density magnitude in a certain circular wire is J = (2.75×10¹0 A/mª)r², where r is the…

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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: A cylindrical conducting wire which is 342.57cm long,  85.39mm thick and resistivity of 3.13Ω.m,…

A: Given: Wire length, L=342.57 cm=3.4257 m≈3.4 m Wire's thickness, d=85.39 mm=0.08539m Resistivity,…

Q: An iron wire with cross-section 2.6 x 10-® m² carries current 115 A. Find the drift velocity Va, in…

A: Given data: Current ,I= 115 A Cross section area (A) = 6 × 10-6 m2 Charge of electron (e) = 1.6…

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.