The current supplied by a battery slowly decreases as the battery runs down. Suppose that the current as a function of time is
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- The current supplied by a battery as a function of time is I(t) = (0.56 A)e -t/(6.0 hr). What is the total number of electrons transported from the positive electrode to the negative electrode from the time the battery is first used until it is essentially dead? (e = 1.60 × 10-19 C)arrow_forwardA current is established in a gas discharge tube when a sufficiently high potential difference is applied across the two electrodes in the tube.The gas ionizes; electrons move toward the positive terminal and singly charged positive ions toward the negative terminal. (a) What is the current in a hydrogen discharge tube in which 3.1 *10^18 electrons and 1.1* 10^18 protons move past a crosssectional area of the tube each second? (b) Is the direction of the current density toward or away from the negative terminal?arrow_forwardFour resistors (R1=A ohms, R2=B ohms, R3= C ohms, R4=D ohms) are connected in parallel. Find the current in R2 if the total voltage is 220 V. If the total voltage in the previous item is the potential difference between the two plates of a parallel plate capacitor, what is the capacitance if the amount of charge in one plate is A nanocoulombs?arrow_forward
- In the classic model for electrical conduction, electron mobility u in a metal wire is defined as where v, is the drift velocity of the electrons and E is the electric field in the metal. This parameter is a measure of how freely electrons can travel through a metal when an electric field is applied, such as when the ends of a metal wire are connected to a potential difference. (a) Show that where a is the conductivity of the metal, n is the number density of the charge carriers, and q is the charge on each carrier. (Submit a file with a maximum size of 1 MB.) Choose File no file selected This answer has not been graded yet. (b) B = AVH is often written as AVH - R IB where R, is the Hall coefficient of the metal. Show that the following is true. (Submit a file with a maximum size of 1 MB.) Hyo -n (Choose File no file selected This answer has not been graded yet (c) The table below shows some measured values of Hall coefficients for some elemental materials. What is an average number…arrow_forwardA busbar made out of copper has a length of 12 inches. Its surface dimension is 1 cm by 1 cm. If the material has free electron of 10^24 per cubic meter calculate the voltage magnitude in the material when a current of of 0.2 A produces mean time of collisions between electrons of 2.48 x 10 ^-14 seconds. (note: the mass of electron is 9.11 x 10^-31 kg). Your answerarrow_forwardProblem 3: A 1.2 g wire has a density of 2.7 g/cm3 and a resistivity of 2.7 × 10−8 Ωm. The wire has a resistance of 15 Ω. a) How long is the wire? b) The wire is made up of atoms with valence 1 and molar mass 26.98 g/mol. What is the drift speed of the electrons when there is a voltage drop of 30 V across the wire?arrow_forward
- The mean time between collisions in iron is 3.6×10−15 s. What electron current is driven through a 2.1-mm-diameter iron wire by a 0.066 V/m electric field?arrow_forwardIn the circuit shown in the diagram below, two thick wires connect a 1.5 volt battery to a Nichrome (NiCr) wire. Each thick connecting wire is 17 cm long, and has a radius of 9 mm. The thick wires are made of copper, which has 8.36e+28 mobile electrons per cubic meter, and an electron mobility of 0.00434 (m/s)/(V/m). The Nichrome wire is 8 cm long, and has a radius of 4 mm. Nichrome has 9e+28 mobile electrons per cubic meter, and an electron mobility of 7e-05 (m/s)/(V/m). What is the magnitude of the electric field in the thick copper wire? V/m What is the magnitude of the electric field in the thin Nichrome wire? V/m Copper Copper Nichromearrow_forwardYou've been asked to determine whether a new material your company has made is ohmic and, if so, to measure its electrical conductivity. Taking a 0.50 mm X 1.0 mm x 45 mm sample, you wire the ends of the long axis to a power supply and then measure the current for several different potential differences. Your data are as follows: Voltage AV (V) Current I (A) 0.200 0.47 0.400 1.06 0.600 1.53 0.800 1.97 Part A You want to determine if the material is ohmic and its conductivity o by graphing the data. Select the appropriate variables to graph on each axis that will produce a straight-line graph with a slope and intercept that will allow you to determine these properties. Sort all variables into the appropriate bins. Horizontal axis Submit 1 AV Request Answer (AV)² Vertical axis AV I Not used Reset Helparrow_forward
- A typical lightning bolt may last for 0.197 s and transfer 1.13 x 1020 electrons. Calculate the average current (in A) in the lightning bolt. HINT Apply the definition of average current. A Click the hint button again to remove this hint.arrow_forwardIn the circuit shown in the diagram below, two thick wires connect a 1.7 volt battery to a Nichrome (NiCr) wire. Each thick connecting wire is 17 cm long, and has a radius of 11 mm. The thick wires are made of copper, which has 8.36e+28 mobile electrons per cubic meter, and an electron mobility of 0.00434 (m/s)/(V/m). The Nichrome wire is 8 cm long, and has a radius of 2 mm. Nichrome has 9e+28 mobile electrons per cubic meter, and an electron mobility of 7e-05 (m/s)/(V/m). [Copper What is the magnitude of the electric field in the thick copper wire? ]V/m What is the magnitude of the electric field in the thin Nichrome wire? v/m Nichrome Copperarrow_forwardHow many free electrons are there in a rectangular block of a conductor whose dimension is 8 m by 4 m by 3 m? The electrons of this conductor have a drift velocity of 4 m/s when a 9.6 A of currentis applied thru a cross-sectional area of 0.005 m2 Use electronic charge of 1.6 x 10 –19 coulomb per electron. Express your answer in scientific notation whose unit is electrons per cubic meter.arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning