Q.no.7: A beam contains 2.0 × 108 doubly charged posi- tive ions per cubic centimeter, all of which are moving north with a speed of 1.0 × 105 m/s. What are the (a) magnitude and (b) direc- tion of the current density J
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Q.no.7:
A beam contains 2.0 × 108
doubly charged posi-
tive ions per cubic centimeter, all of which are moving north with
a speed of 1.0 × 105 m/s. What are the (a) magnitude and (b) direc-
tion of the current density J
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- A change of 401 C charge pass through an imaginary plane during a time interval of 2.0 minutes. What is the current in amps (coulombs per second)? Current = Charge/time (convert minutes to seconds). Enter units as A or C/sWhile tracking the speed of individual particles is great, a more useful and simpler quantity to measure is current which is the amount of charges moving through some cross-sectional area per unit time. It has units of Coulombs per second (or Amps} and is abbreviated by the symbol i. See if you can write out a formula for the current through a section of wire with cross sectional area A given the average speed of particles v, the charge on each particle, q, and the number of charges per unit volume, n. Use dimensional analysis for this formula. Which of the terms in your formula do you think the electric field can influence?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.
- 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 2.0 × 109 doubly charged positive ions per cubic centimeter, all of which are moving north with a speed of 3.1 × 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?Copper has 8.5×1028 electrons per cubic meter. How many electrons are there in a 50.0 cm length of 12-gauge copper wire (diameter 2.05 mm)? If a current of 2.10 A is flowing in the wire, what is the average drift speed of the electrons along the wire? (There are 6.24×1018 electrons in 1 coulomb of charge.)
- 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?The vector current density of a 3m long and 3mm diameter conductor is given as 155630 A/m^2. Determine the curent on the conductor, its free electron density, the drift velocity of the charges and the number of electrons passing through the conductor for 3 seconds.