1. (OpenStax, Ch. 9, problem #25) The quantity of charge through a conductor is modeled as Q = 4.00t4 1.00 t + 6.00mC What is the current at time t = 3.00s? %3D R1 E1 E2 R2
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Q: The quantity of charge through a conductor is modeled as Q = (3.00 mc/s4)t4 (4.00 mc/s)t + 7.00 mc.…
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- The quantity of charge through a conductor is modeled as Q = (3.00 mc/s) - (4.00 mc/s)t + 7.00 mC. What is the current (in A) at time t = 2.00 s?Problem 7 A cylindrical platinum wire is 0.0644 mm in diameter and 1.05 m in length. The wire carries a 1.05 A current. Assume there is one free electron (q = -1.602x10-19 C) per platinum atom. Avogadro's number is 6.022x1023 atoms per mol. Platinum has a density of 21.5 g/cm³, a molar mass of 195 g/mol, and a resistivity of 10.6x10-8 Qm. (a) Find the the current density (j), in units of A/m². (b) Find the number density of free electrons (n), in units of m-3. (c) Find the drift velocity of electrons in the wire (va), in units of m/s. (d) Find the magnitude of the electric field in the wire, in units of N/C. (e) Find the potential difference across the wire, in units of Volts.A conductor has a cross-sectional area of 2.3x106 m² and the number of free electrons per unit volume is 8.5 X1028 electron/m³. When the current is 7.1 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6×1019 c.
- QUESTION 10 The conduction electrons in a cylindrical, current-carrying wire have a drift velocity of 0.35 mm/s. The wire has a radius of 1.0 mm and contains 8.6 x 1028 conduction electrons per m3. What is the current in the wire? (The magnitude of the charge of an electron is 1.602 x 10-19 c.) а. 3.0 А b. 9.0 A Ос. 6.0 А d. 12 A е. 15 А1. (OpenStax, Ch. 9, problem #25) The quantity of charge through a conductor is modeled as C Q = 4.00t – 1.00-t+ 6.00mC What is the current at timet = 3.00s?The current in a wire varies with time according to the relation I = 55 A - (0.65 A/s²)t². For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Current density and drift velocity in a wire. How many coulombs of charge pass a cross section of the wire in the time interval between t = 0 and t = 8.5 s? Express your answer in coulombs. Q= Submit Part B I = ΑΣΦ Submit Request Answer What constant current would transport the same charge in the same time interval? Express your answer in amperes. ΑΣΦ ? Request Answer ? A
- 8 - The figure in the attachment represents a section a circular conductor of nonuniform diameter carrying a current of 6 A. radius of cross section A1 is 0.5 cm. What is the magnitude of the current density across A,? Ag A1 Figure P27.8 a) O 50,64 kA/m? b) O 56,4 kA/m2 c) O 76,4 kA/m2 d) O 76 A/m² O 56,4 A/m?A current of 2.2 A flows through a lightbulb. (*) How many coulombs of charge flow through the lightbulb in 45 min? (**) This is equivalent to how many electrons? 7. charge А. 6304 C D. 7205 C В. 5794 C E. 6935 C С. 4669 C F. 5940 C |--/ 8. electrons D. [2.87E+22] E. [3.124E+22] F. [3.713E+22] А. [2.91E+22] В. [3.689E+22] С. [ 3.254E+22] |--/A charge crossing a surface due to a proton beam is given by Q = 5.0t3 + 3.0t2 + 8.0 where Q is measured in Coulombs and the time t is measured in seconds. What is the current due to the proton beam when t = 3.0 s. О (а) 459 A О (b) 153 А O (c) 297 A O (d) 99 A O (e) 56.7 A
- We have 5x10¹6 doubly charged positive ions (q=2e) per m³, all moving west with a speed 10³ m/s. In the same region there are 10¹7 electrons per m³ moving northeast with a speed 106 m/s. What are the magnitude and direction of the current density j?A beam contains 2.7 × 109 doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 4.0 × 105 m/s. What is (a) the magnitude of the current density1. A flashlight bulb carries a current of 0.38 A for 98 s. How much charge flows through the bulb in this time? How many electrons? Chap 21_#1 2. When a potential difference of 12 V is applied to a given wire, it conducts 0.45 A of current. What is the resistance of the wire? Cha 21_#10 3. When a potential difference of 12 V is applied to a wire 6.9 m long and 0.33 mm in diameter, the result is an electric current of 2.1 A. What is the resistivity of the wire? Chap 21_#18 4. A 65-W lightbulb operates on a potential difference of 95 V. Find (a) the current in the bulb and (b) the resistance of the bulb. (c) If this bulb is replaced with one whose resistance is half the value found in part (b), is its power rating greater than or less than 65 W? By what factor? Chap 21 #30 5. A 99-0 resistor has a current of 0.82 A and is connected in series with a 110@0 resistor. What is the emf of the battery to which the resistors are connected? Chap 21 #44 6. Find the equivalent resistance between…