Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical 115-volt outlet can be expressed by the function V(t) = 163 sin wt, where w is the angular speed (in radians per second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec. Complete parts (a) and (b). (a) How many times does the current oscillate in 0.25 sec? 15 time(s) (b) What are the maximum and minimum voltages in this outlet? Is the voltage always equal to 115 volts? The maximum voltage is V and the minimum voltage is V.

Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical 115-volt outlet can be expressed by the function V(t) = 163 sin wt, where w is the angular speed (in radians per second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec. Complete parts (a) and (b). (a) How many times does the current oscillate in 0.25 sec? 15 time(s) (b) What are the maximum and minimum voltages in this outlet? Is the voltage always equal to 115 volts? The maximum voltage is V and the minimum voltage is V.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 88AP: Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner...

See similar textbooks

Similar questions

In a region a non-uniform magnetic field exists such that Bx=0,By=0,andBz=ax where a is a Constant. At some time t, a wire of length L is carrying a current I is located along the x-axis from origin to x = L. Find the magnetic force on the wine at this instant in time.
Two long coaxial copper tubes, each of length L, are connected to a battery of voltage V. The inner tube has inner radius o and outer radius b, and the outer tube has inner radius c and outer radius d. The tubes are then disconnected from the battery and rotated in the same direction at angular speed of radians per second about their common axis. Find the magnetic field (a) at a point inside the space enclosed by the inner tube r d. (Hint: Hunk of copper tubes as a capacitor and find the charge density based on the voltage applied, Q=VC, C=20LIn(c/b) .)
Does increasing the magnitude of a uniform magnetic field through which a charge is traveling necessarily mean increasing the magnetic force on the charge? Does changing the direction of the field necessarily mean a change in the force on the charge?
Is the work required to accelerate a rod from rest to a speed v in a magnetic field greater than the final kinetic energy of the rod? Why?
The horizontal and vertical components of a magnetic field are 0.3 T and 0.4 T, respectively. What is the flux passing through a loop of wire of area 0.04 m^2 when the plane of the coil is (a) vertical and (b) horizontal?
A proton describes a circular orbit of radius 27 cm perpendicular to a magnetic field of modulus 1.0 T. Find: (a) the modulus of its velocity (in m/s); (b) the period of its motion (in sec) ; and (c) its kinetic energy (in MeV).
In an experiment designed to measure the Earth’s magnetic field using the Hall effect, a copper bar 0.500 cm thick is positioned along an east-west direction. Assume it n = 8.46 × 1028 electrons/m3 and the plane of the bar is rotated to be perpendicular to the direction of → B. If a current of 8.00 A in the conductor results in a Hall voltage of 5.10 × 10–12 V, what is the magnitude of the Earth’s magnetic field at this location?
A coaxial cable has an inside conductor of a radius a carrying a current I. The current returns as a uniform current through the outside conductor with an inside radius b and outside radius c. (A uniform current means that the current density is constant.) What is the magnetic field a distance r from the center at a<r<b, b<r<c, and c<r.
A large water main is 2.25 m in diameter and the average water velocity is 6.75 m/s. If there are some slight impurities in the water, it can easily become a conductor and this flow represents a small electrical current. d = 2.25 mv = 6.75 m/s Find the Hall voltage produced if the pipe runs perpendicular to the Earth’s 5.00 × 10-5 T field.
Considering the magnetic field due to a long, straight wire, it is certain that A. the field is proportional to the distance from the wire to where the field is evaluatedB. the field is inversly proportional to the currentC. the field is proportional to the current
A proton is moving under the combined influence of an electric field (E = 2569 V/m) and a magnetic field (B = 2.45 T), as shown in the figure. Assuming the proton is moving in the direction shown in the figure with speed 255 m/s at the instant it enters the crossed fields, what is the acceleration of the proton? (units are in m/s^2)
A Long straight wire has a constant current flowing to the right. A rectangular loop is situated above the wire, and also has a constant current flowing through it as shown. Which one of the following statement is true. A. The net magnetic force on the loop is zero and the net torque is zero B. The net magnetic force on the loop is upward and there is also a net torque on the loop C. The net magnetic force on the loop is downward and the net torque is zero D. The net magnetic force on the loop is downward and there is also a nut torque on the loop E. The net magnetic force on the loop is zero and there is no net torque on the loop