The quantity of charge through a conductor is modeled as Q = (3.00 mC/s^4)t^4 - (3.00 mC/s)t + 8.00 mC. What is the current (in A) at time t = 2.00 s?
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- The current in a wire at time t is given by the expression I(t) = (2.4 A) e−t/(2.3 µs), where t is in µs. a. Graph I vs t for the interval 0 ≤ t ≤ 10 μs. b. Find an expression for the total amount of charge that has entered the wire at time t if Q(0) = 0 C. c. Graph the total amount of charge that has entered the wire as a function of time for the same interval as in part a.A current of 9.50 A flows in a conductor for 6.0 s. How much charge passes a given point in the conductor during this time?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?
- T A 2.0 x 102-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1.0 x 10° A. If the conductor is copper with a free charge density of 8.5 × 1028 electrons/m³, how many years does it take one electron to travel the full length of the cable?A high voltage transmission line of diameter 2.09 cm and length 4.9017 km carries a steady current of 1.1 x 103 A. If the conductor is copper with a free charge density of 4 x 1028 electrons/m3 how long (in seconds) does it take one electron to travel the full length of the cable? (e=1.6 x 1019 C). Use scientific/exponential notation to represent your answer.