An 18-gauge copper wire (the size usually used for lamp cords), with a diameter of 1.02 mm, carries a constant current of 1.67 A to a 200-W lamp. The free-electron density in the wire is 8.5 × 1028 per cubic meter. Find (a) the current density and (b) the drift speed.
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- A wire is 1.2 m long and 1.2 mm² in cross-sectional area. It carries a current of 5.6 A when a 3.0 V potential difference is applied between its ends. Calculate the conductivity of the material of which this wire is made. Number i 1 Units (Q.m)^-1A typical lightning bolt may last for 0.197s and transfer 1.19 ✕ 1020 electrons. Calculate the average current (in A) in the lightning bolt.An aluminum wire having a cross-sectional area equal to 4.60 x 106 m² carries a current of 3.50 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire.
- B. A silver wire 2.6 mm in diameter transfers a charge of 420 C in 80 min. Silver contains 5.8 x 1028 free electrons per cubic meter. (a) What is the current in the wire? (b) What is the magnitude of the drift velocity of the electrons in the wire?A current I =0.35 A flows through a cylindrical resistor made out of some unknown ceramic-like composite. The radius of the cylindrical body is 4.25 mm while the length is 1.65 cm. If the potential drop over the resistor is 7.54 V, what is the resistivity of the unknown ceramic material? (Answer in Ohm*m)A current of 500 A flows in a 30 km long copper transmission line (diameter 1.0 cm). a) What is the current density? b) What is the drift speed of the booking drivers? c) How long does it take for a single electron to travel from one end of the transmission line to the other? The number (density) of free charge carriers (electrons) is 8.5×1028 m-3
- A copper wire of radius a = 0.172 mm has an aluminum jacket of outer radius b = 0.231 mm. There is a current i = 1.58 A in the composite wire. Take the resistivity for copper and aluminum to be 1.69 × 10*Q-m and 2.75 × 10-°2-m. Calculate the current in (a) the copper and (b) the aluminum. (c) If a potential difference V = 10.4 V between the ends maintains the current, what is the length in meters of the composite wire? (a) Number i Units (b) Number i Units (c) Number i UnitsA copper wire of radius a = 0.240 mm has an aluminum jacket of outer radius b = 0.329 mm. There is a current i = 1.57 A in the composite wire. Take the resistivity for copper and aluminum to be 1.69 × 10-8Ω·m and 2.75 × 10-8Ω·m. Calculate the current in (a) the copper and (b) the aluminum. (c) If a potential difference V = 13.1 V between the ends maintains the current, what is the length in meters of the composite wire?A conductor has a cross-sectional area of 2.3x 10P m and the number of free electrons per unit volume is 8.5x 1028 electron/m³. When the current is 6.1 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x1019 C. Select one: OA 0.26 OB. 25.60 OC.0.13 OD. 19.50 OE 0.20
- A copper wire has a circular cross section with a radius of 1.06 mm. (a) If the wire carries a current of 4.03 A, find the drift speed (in m/s) of electrons in the wire. (Take the density of mobile charge carriers in copper to be n = 1.10 ✕ 1029 electrons/m3.) m/s (b) For the same wire size and current, find the drift speed (in m/s) of electrons if the wire is made of aluminum with n = 2.11 ✕ 1029 electrons/m3. m/sA beam contains 5.1 × 10⁹ doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 3.0 × 105 m/s. What is (a) the magnitude of the current density and (b) direction of the current density J. (c) What additional quantity do you need to calculate the total current i in this ion beam?An aluminium wire of diameter 0.24 cm is connected in series to a copper wire of diameter 0.16 cm. The wires carry an electric current of 10 A. Determine the current density in aluminium wire.