2. Calculate the current density in a copper wire at 20°C, if an electric field of 0.470 V/m exists in the wire. The resistivity of copper is 1.7 x 10-8 N. m.
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- 1. Calculate the number of free electrons in a copper conductor having a diameter of 0.064in and a length of 1000ft. 2. A current of 5A exist in a 10ohms resistance for 4 minutes. A) How many coulombs B) How many electrons pass through any section of the resistor in this time? Charge of e= 1.6x10^-19. 3. The electric charge that moves through a conductor varies in accordance with the equation q=800t, where q and t are given in coulombs and milliseconds, respectively. Calculate the current in Ampere. 4. Determine the total charge entering a terminal between t=2s, if the current passing the terminal is I= (3t^2-t)A2. The current density in a copper wire of diameter 1.5 mm ig 1.5x 10° A/m2. The number of free electrons per cubic meter of copper is 9 x 1027. Find the: a. currentin the wire and b. magnitude of drift velocity of electrons in the wire.3. Look up tabulated conductivities (or resistivities) of copper, silver, and aluminum at 20 °C and calculate the resistance of a copper wire that is 2 meters long with a1 mm diameter. Repeat your calculation for silver, and for aluminum. The density of free electrons is 8.5x1028 particles/m3 for copper, 5.86x 102 m-3 for silver, and 18.1x1028 m-3 for aluminum. For a potential difference of 5 volts, how do the electron drift velocities in each of the three wires compare with one another?
- 1. Solve the following resistance problems: a. A 4.2 cm long copper wire has a cross-sectional area of 3.7 mm2. Determine the resistance of that wire. Check the resistivity of copper int the table given in the textbook. (1.72 x 10) b. Consider a 1.6 cm long silver wire. What is the cross-sectional area of the wire for it to have a resistance of 2.2 x 10-2 Q.1. What current flows through a 0.50 mm diameter rod of annealed Copper that is 90.0 cm long, when 12 V is applied to it? Resistance of the annealed Copper = Current flowing through the annealed Copper = A [3 marks] Resistivity p Material (ohm m) Silver 1.59 x 10-8 Copper 1.68 x10-8 Copper, annealed 1.72 x10-8 Aluminum 2.65 x10-8 Tungsten 5.6 x10-8 Iron 9.71 x10-8 Platinum 10.6 x10-8 Manganin 48.2 x10-8 Lead 22 x10-81. Find the drift velocity of electrons in a copper wire with a diameter of 130 mm if it carries a current of 10 amperes. 2. What should be the length and cross-sectional area of a wire for it to have a resistance of 80 from a 5 - cm3 metal that has a resistivity of 9 x 10-8 - m.
- 1. A tungsten wire has a radius of 0.072 mm. When 128 V is applied across the ends of the hot wire, a current of 3.00 A is produced. How long is wire? (The resistivity of tungsten is 2.65 × : m 5 cci16 cm) ceil6 ceil6 cc1. The resistivity of gold is 2.44 × 10-8 2. m at room temperature. A gold wire that is 0.9 mm in diameter and 14 cm long carries a current of 940 mA. What is the voltage across the wire?3. a) Calculate the resistance per unit length of an iron wire, which has a radius of 1.5 mm. The resistivity of iron is 10 x 10-8 N. m. b) If the potential difference of 20 V is maintained across a 2.0-m length of the iron wire, what is the current in the wire?
- 1. A 5.0 C charge flows through a wire in 3 s. Calculate the current. 2. A nichrome wire of length 1.5 m is used as conductor. The cross-sectional area of the wire is 0.75 m2. Calculate for the resistance of the nichrome wire. (Resistivity of nichrome is 1.00 x 106 2)1. The total charge entering a terminal is given by q = 2e² cos (6nt), in µC. Determine the current at t= 0.25 s. 2. The resistance of a certain conductor , 300 mil diameter and 20 ft long is 200 x10^-3 N. Calculate its resistivity in micro-ohms-meter (µ2-m). 3. Determine the thermal coefficient of resistance of copper at 50°C, then use this value to determine the resistance of copper wire at 170°F if the resistance of this copper wire at 50°C is 50 0. The thermal coefficient of resistance of copper at 0°C is 0.004264/C°. 4. A battery has an EMF of 24.0 V and an internal resistance of 'r'. Its terminals are connected to a load resistance of 5.25 N. a. Find r and current in the circuit if the terminal voltage of the battery is 22.5V. b. Calculate the power delivered to the load resistor, the power delivered to the internal resistance, and the power delivered by the battery. 5. A 220V 600-watt electric coffee maker is used to make a total of 10 cups of coffee in 45 minutes. Determine the…1. Consider a cylindrical wire that has conduction electron density 6.0 × 1028 1 ,3 and radius 0.5 mm. An electric field with strength m- 7.5 × 10-4 creates a current of 4.8 x 10! electrons per second. a) What is the average drift speed for an electron? (include units) b) What is the average time in between electron collisions? fs (express your answer in femtoseconds)