The current in a conductor varies in time as shown in Figure P17.58. (a) How many coulombs of charge pass through a cross section of the conductor in the interval from t = 0 to t = 5.0 s? (b) What constant current would transport the same total charge during the 5.0-s interval as does the actual current?FIGURE P17.58

The current in a conductor varies in time as shown in Figure P17.58. (a) How many coulombs of charge pass through a cross section of the conductor in the interval from t = 0 to t = 5.0 s? (b) What constant current would transport the same total charge during the 5.0-s interval as does the actual current?FIGURE P17.58

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 6P: Figure P21.6 represents a section of a conductor of nonuniform diameter carrying a current of I =...

See similar textbooks

Similar questions

Taking R = 1.00 k and = 250 V in Figure P21.49, determine the direction and magnitude of the current in the horizontal wire between a and e. Figure P21.49
Figure P21.6 represents a section of a conductor of nonuniform diameter carrying a current of I = 5.00 A. The radius of cross-section A1 is r1 = 0.400 cm. (a) What is the magnitude of the current density across A1? The radius r2 at A2 is larger than the radius r1 at A1. (b) Is the current at A2 larger, smaller, or the same? (c) Is the current density at A2 larger, smaller, or the same? Assume A2 = 4A1. Specify the (d) radius, (e) current, and (f) current density at A2. Figure P21.6
A large cyclotron directs a beam of He ++ nuclei onto a target with a beam current of 0.250 mA. (a) How many He++ nuclei per second is this? (b) How long does it take for 1.00 C to strike the target? (c) How long before 1.00 mol of He++ nuclei strike the target?
The current in a conductor varies in time as shown in Figure P17.58. (a) How many coulombs of charge pass through a cross section of the conductor in the interval from t = 0 to t = 5.0 s? (b) What constant current would transport the same total charge during the 5.0-s interval as does the actual current?
The current in a wire varies with time according to the relationship I = 55 A - (0.65 A/s2)t2. (a) How many coulombs of charge pass a cross section of the wire in the time interval between t = 0 and t = 8.0 s? (b) What constant current would transport the same charge in the same time interval?
A copper wire has a square cross section 2.3 mm on a side. The wire is 4.0 m long and carries a current of 3.6 A. The density of free electrons is 8.5 x1028/m3 Find the magnitudes of (a) the current density in the wire (b) the electric field in the wire (c) How much time is required for an electron to travel the length of the wire? For copper: p = 1.72 x10-82. m n = 8.5 x1028/m3
A hollow metal cylinder has inner radius a, outer radius b, length L, and conductivity σ. The current I is radially outward from the inner surface to the outer surface. Find an expression for the electric field strength inside the metal as a function of the radius r from the cylinder's axis. Evaluate the electric field strength at the inner and outer surfaces of an iron cylinder if a = 0.50 cm , b = 2.2 cm , L = 10 cm, and I = 23 A
The current in a wire varies with time according to the equation I(t) = 6.00 A + (4.80 A/s)t, where t is in seconds. How many coulombs of charge pass a cross section of the wire in the time period between t = 0.00 s and t = 3.00 s? Select one: a. 13 C b. 21 C c. 72 C d. 39.6 C
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.
The quantity of charge through a conductor is modeled as Q = (2.00 mC/s4)t4 − (5.00 mC/s)t + 3.00 mC. What is the current (in A) at time t = 4.00 s?
A spool of tungsten wire 200 m long and with a diameter of 0.360 mm is at 20.0°C. For tungsten, the resistivity is 5.60 ✕ 10−8 Ω · m and the temperature coefficient of resistivity is 4.50 ✕ 10−3 (°C)−1. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.450 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.450 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C? W
The electric field of the material between two coaxial cables of radius 0.525 cm and 0.675 cm is given as E = 2.85 V.m/r3 . If the conductivity of the material is 5 x 1010 S/m, what is the current density in the material?