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- The magnitude Jof the current density in a certain wire with a circular cross section of radius R = 2.28 mm is given by J = (3.18 × 10®)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 andr = R? Number UnitsA metal wire of cross-sectional area 2.00x10-6 m² and length 4.0 m has a current of 25.0 A uniformly distributed across that area. If the conductivity of the metal is, 5.9x107 (.m)-!, calculate the magnitude of the electric field, in V/m, along the wire?The magnitude J of the current density in a certain wire with a circular cross section of radius R = 2.00 mm is given by J = (3.34 × 108),², with Jin amperes per square meter and radial distance r in meters. What is the current through the outer section bounded by r = 0.926R and r = R? Number i 2.392 Units mA
- 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?A metallic wire with resistance 8 0, crosS-sectional area 8.2x10 m², and conductivity o= 5.81×10 0 m mV/m) inside the wire is; -1 is connected to a battery of & = 14 V. The electric field E (in 3.What is the current through a cylindrical wire of radius R = 0.1 mm if the current density is J = J0 R r , where J0 = 32000 A m2 ?
- A tungsten wire at with length, L = 1.83 m, carries a current with density, J = 1.35 x 107 A/m², at a temperature of 20°C, where its electrical conductivity is a = 1.80 x 1072-¹.m-¹. (a) Write a symbolic expression for the electric field strength in terms of J, o, and L (as needed) then calculate its numeric value. E = O 0.75 | = 0.75 V/m ✔ Getting Warm (2 of 3) The resistance of the wire at 20°C is determined to be R = 0.196 Q. (b) Write a symbolic expression for the current in terms of J, 0, L and R (as needed) then calculate its numeric value.The magnitude J of the current density in a certain wire with a circular cross section of radius R = 2.14 mm is given by J = (3.34 × 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 = 0.920R and r = R? Number i Units mAThe time variation of the charge passing by a conductor is given by q(t)-2t+2t, where q is given in coulombs and t in seconds. The cross- sectional area of the conductor is 1.6 mm-. Find the current density (in MA/m-) through the conductor at t= 6.4 s.
- A tungsten wire at with length, L = 1.83 m, carries a current with density, J = 1.35 x 107 A/m², at a temperature of 20°C, where its electrical conductivity is a = 1.80 x 1072-1.m-1. (a) Write a symbolic expression for the electric field strength in terms of J, σ, and L (as needed) then calculate its numeric value. J E = J = 0.75 o Getting Warm (2 of 3) The resistance of the wire at 20°C is determined to be R = 0.196 2. | = 0.75 V/m ✔ (b) Write a symbolic expression for the current in terms of J, 0, L and R (as needed) then calculate its numeric value. AThe 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 300-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,240 A. If the conductor is copper with a free charge density of 8.5 1028 electrons per cubic meter, how many years does it take one electron to travel the full length of the cable? (Use 3.156 107 for the number of seconds in a year.) ?yr