The quantity of charge \( Q \) in coulombs (C) that has passed through a point in a wire up to time \( t \) (measured in seconds) is given by \[ Q(t) = t^3 - 4t^2 + 7t + 4. \](a) Find the current when \( t = 0.7 \, \text{s} \). \[\boxed{\phantom{5}}\] A(b) Find the current when \( t = 1 \, \text{s} \). \[\boxed{\phantom{5}}\] AAt what time is the current the lowest? \( t = \boxed{\phantom{5}} \) s

Answered: Image /qna-images/answer/fb776a31-8fc8-4e2a-8e82-4079db8a5374.jpg

The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (measured in seconds) is given by Q(t) = t³ — 4t² + 7t + 4. (a) Find the current when t = 0.7 s. (b) Find the current when t = 1 s. At what time is the current the lowest? t =

The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (measured in seconds) is given by Q(t) = t³ — 4t² + 7t + 4. (a) Find the current when t = 0.7 s. (b) Find the current when t = 1 s. At what time is the current the lowest? t =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

If 3.75 x 10-3 kg of gold is deposited on the negative electrode of an electrolytic cell in a period of 2.99 h, what is the current in the cell during that period? Assume the gold ions carry one elementary unit of positive charge.
A current of 80.2 mA exists in a metal wire. (a) How many electrons flow past a given cross section of the wire in 11.0 min?
The quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm² varies with time according to the equation q = 6t³ + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 0.950 s? 19.245 ✔A (b) What is the value of the current density? 987 X What is the relationship between current and current density? kA/m²
Suppose the current in a conductor decreases exponentially with time according to the equation I(t)=le, where I, is the initial current (at t = 0) and is a constant having dimensions of time. Consider a fixed observation point within the conductor. How much charge passes this point between t = 0 and t = r?
The quantity of charge q (in coulombs) that has passed through a surface of area 2.05 cm2 varies with time according to the equation q = 4t3 + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.10 s? A (b) What is the value of the current density? KA/m2
While 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 density of free electrons in a cylindrical metal wire is 7x10-8 m. The diameter d= 12.23 mm and carrying a current of I- 6.93 A. the drift velocity (in jum/s) of the electrons in the wire must be (charge of electron =1.6x10"19 C)
A copper wire has a circular cross section with a radius of 1.66 mm. HINT (a) If the wire carries a current of 3.18 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 x 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 x 1029 electrons/m³. m/s
this problems is giving me hard time
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?
What is the current in a wire in which 3.62x1020 electrons pass a single point every 8.79 seconds? Report your answer with three significant digits. (e = 1.602x10-19 C)