2. An electric circuit has a battery with an EMF of 1.50 V. Its positive terminal is connected to its negative terminal by a copper wire in a circular loop having a radius of 0.500 m. Solve for the drift velocity in the wire if there is one free electron per copper atom. Detailed assumptions: - The size of the cell is negligible compared to the length of the circuit. - Copper resistivity: p = 1.80x10¬8-m - Copper density: D = 8.96x103 kg – m-3 Conner relative atomic mass: m - 63 5 a/mol

2. An electric circuit has a battery with an EMF of 1.50 V. Its positive terminal is connected to its negative terminal by a copper wire in a circular loop having a radius of 0.500 m. Solve for the drift velocity in the wire if there is one free electron per copper atom. Detailed assumptions: - The size of the cell is negligible compared to the length of the circuit. - Copper resistivity: p = 1.80x10¬8-m - Copper density: D = 8.96x103 kg – m-3 Conner relative atomic mass: m - 63 5 a/mol

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 16P

See similar textbooks

Similar questions

A 12.0-V emf automobile battery has a terminal voltage of 16.0 V when being charged by a current of 10.0 A. (a) What is the battery’s internal resistance? (b) What power is dissipated inside the battery? (c) At what rate (in °C/min ) will its temperature increase if its mass is 20.0 kg and it has a specific heat of 0.300 kcal/kg • °C, assuming no heat escapes?
Unreasonable Results (a) What current is needed to transmit 1.00 102 MW of power at 10.0kV? (b) Find the resistance of 1.00 km of wire that would cause a 0.0100% power loss. (c) What is the diameter of a 1.00-km-long copper wire having this resistance? (d) What is unreasonable about these results? (e) Which assumptions are unreasonable, or which premises are inconsistent?
When a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T T0)] (Eq. 17.7), where is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R=R0[1+(TT0)][1+(TT0)][1+2(TT0)] where is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0C and heated to 100.0C.
Review. When a straight wire is warmed, its resistance is given by R = R0,[1 + a(T T0)] according to Equation 27.20, where a is the temperature coefficient of resistivity. This expression needs to be modified if we include the change in dimensions of the wire due to thermal expansion. For a copper wire of radius 0.100 0 mm and length 2.000 m, find its resistance at 100.0C, including the effects of both thermal expansion and temperature variation of resistivity. Assume the coefficients are known to four significant figures.
Explain why R=R0(1 + a?T) for the temperature variation of the resistance R of an object is not as accurate as P=P0(1 + a?T) which gives the temperature variation of resistivity P.
Currents of approximately 0.06 A can be potentially fatal. Currents in that range can make the heart fibrillate (beat in an uncontrolled manner). The resistance of a dry human body can be approximately 100 k . (a) What voltage can cause 0.06 A through a dry human body? (b) When a human body is wet, the resistance can fall to 100 . What voltage can cause harm to a wet body?
(a) What is the resistance of a 1.00 102-O, a 2.50-k O, and a 4.00-kresistor connected in series? (b) In parallel?
An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.
(a) Can the circuit shown in Figure P27.21 be reduced to a single resistor connected to a battery? Explain. Calculate the currents (b) I1, (c) I2, and (d) I3. Figure P27.21
2 . An electric circuit has a battery with an EMF of 1.50 V. Its positive terminal is connected to its negativeterminal by a copper wire in a circular loop having a radius of 0.500 m. Solve for the drift velocity in the wireif there is one free electron per copper atom.Detailed assumptions:- The size of the cell is negligible compared to the length of the circuit.- Copper resistivity: ρ = 1.80x10!"Ω − m- Copper density: D = 8.96x10# kg − m!#- Copper relative atomic mass: ma = 63.5 g/mol