A spool of tungsten wire 320 m long and with a diameter of 0.480 mm is at 20.0°C. For tungsten, the resistivity is 5.60 x 10-8 0 ·m and the temperature coefficient of resistivity is 4.50 x 10-3 (°C)-1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.450 A? 0.140 V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.450 A? 20.05 (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 370°C? 9.62 1x How is electric power related to electric potential difference and resistance? W

A spool of tungsten wire 320 m long and with a diameter of 0.480 mm is at 20.0°C. For tungsten, the resistivity is 5.60 x 10-8 0 ·m and the temperature coefficient of resistivity is 4.50 x 10-3 (°C)-1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.450 A? 0.140 V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.450 A? 20.05 (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 370°C? 9.62 1x How is electric power related to electric potential difference and resistance? W

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 24P: A conductor carries a current that is decreasing exponentially with time. The current is modeled as...

See similar textbooks

Similar questions

A conductor carries a current that is decreasing exponentially with time. The current is modeled as I=I0et/ , where I0= 3.00 A is the current at timet = 0.00 s and =0.50 s is the time constant. How much charge flows through the conductor between t = 0.00 s and =3 ?
A spool of copper wire 320 m long and with a diameter of 0.360 mm is at 20.0°C. For copper, the resistivity is 1.70 x 10-8 0. m and the temperature coefficient of resistivity is 3.90 x 10-3 (°C)-1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.550 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.550 A? W
A spool of aluminum wire 290 m long and with a diameter of 0.360 mm is at 20.0°C. For aluminum, the resistivity is 2.82 x 10-8 Q ·m and the temperature coefficient of resistivity is 3.90 x 10-3 (°C)-1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.600 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.600 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C?
A spool of copper wire 290 m long and with a diameter of 0.440 mm is at 20.0°C. For copper, the resistivity is 1.70 x 10 8 .m and the temperature coefficient of resistivity is 3.90 x 10- (°C)-1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.550 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.550 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 400°C? W
A 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?
A spool of iron wire 320 m long and with a diameter of 0.360 mm is at 20.0°C. For iron, the resistivity is 10.0 ✕ 10−8 Ω · m and the temperature coefficient of resistivity is 5.00 ✕ 10−3 (°C)−1. (a)What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.550 A?V/m (b)What is the electric power (in W) delivered to the spool while it carries a current of 0.550 A? W (c)What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C? W
A spool of iron wire 290 m long and with a diameter of 0.480 mm is at 20.0°C. For iron, the resistivity is 10.0 ✕ 10−8 �� · m and the temperature coefficient of resistivity is 5.00 ✕ 10−3 (°C)−1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.450 A? (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.450 A? (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 400°C?
A spool of tungsten wire 200 m long and with a diameter of 0.360 mm is at 20.0°C. For tungsten, the resistivity is 5.60 ✕ 10−8 Ω · m and the temperature coefficient of resistivity is 4.50 ✕ 10−3 (°C)−1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.450 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.450 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C? W
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.
A cylindrical copper conductor with temperature coefficient 4.3x10^-3 K^-1 at room temperature (20 degrees C) has radius 3.0 cm. The magnitude of the electric inside the conductor obeys the relation (6.0 V/m^2)r and points in the same direction that the current travels. If you decrease the temperature to 10 degrees C, what is the current flowing through the conductor?
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, 0, and L (as needed) then calculate its numeric value. E = || V/m
Consider a wire made of copper with conductivity 6.0 × 10' 2m', which has a circular cross-section of radius 0.47 mm. In a particular circuit, this wire carries a current of 6.5 A. What is the electric field, in volts per meter, inside this wire? E = If we replace this wire with a gold one of the same size, with conductivity 4.1 × 107 2-1'm1, what will the electric field in the wire be? E =