### Problem StatementThe square loop, with sides measuring 10 cm, is located in a 0.05 T uniform magnetic field that points directly away from you, as illustrated by the diagram. Determine over what time interval the magnetic field should be reduced to zero to generate the 6 V needed to light the light bulb. (Recall the definition of magnetic flux.)### Diagram Description- The diagram shows a square loop with a side length of 10 cm.- The loop is placed in a magnetic field, represented by "X" symbols, indicating the field direction is coming out of the page.- There is a light bulb connected at the top side of the square loop.### Key Concepts- **Magnetic Flux (Φ)**: The product of the magnetic field (B) and the area (A) perpendicular to the field through which it passes, i.e., Φ = B * A.- **Induced EMF and Faraday’s Law**: The induced electromotive force (EMF) in a circuit is equal to the rate of change of magnetic flux through the loop, i.e., EMF = - dΦ/dt.- **Calculation of Required Time Interval**: Use the known values of magnetic field, area, and desired voltage to calculate the necessary time to reduce the magnetic field for inducing the required EMF.

Answered: Image /qna-images/answer/f6c95ef2-871f-451b-a28e-6dbfb33c4b60.jpg

The square loop, of side 10 cm, at right is located in a 0.05 T uniform magnetic field pointing directly away from you as shown. Over what time interval should the X X X X X X X magnetic field be reduced to zero in order to supply the 6 V needed to light the light bulb? (Recall the definition of magnetic flux.) X X х х X х х

The square loop, of side 10 cm, at right is located in a 0.05 T uniform magnetic field pointing directly away from you as shown. Over what time interval should the X X X X X X X magnetic field be reduced to zero in order to supply the 6 V needed to light the light bulb? (Recall the definition of magnetic flux.) X X х х X х х

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

In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.440 cm thick is positioned along an east-west direction. Assume n = 8.46 x 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 5.80 x 1012 v, what is the magnitude of the Earth's magnetic field at this location? 0.0431 Your response is off by a multiple of ten. µT
A straight conductor of length I moves with an acceleration a = 0.1 ms2 at right angles to a magnetic field of uniform strength B = 10 T. The e.m.f. between the ends of the conductor increased from 0 to 5 V during the first 20 s after the beginning of motion. Calculate I and give your answer in SI units.
In the situation of the previous problem, suppose the 0.300 T magnetic field is in the +y-direction and the proton's motion is not perpendicular to the field: initially its velocity has components vx=1.00×104m/s, vy=7.50×103m/s\, vzvz = 0. Find the radius of the proton's helical path. (charge +1.60×10−19C+1.60×10−19C, mass 1.67×10−27kg)
The metal equilateral triangle in the figure, 20 cm on each side, is halfway into a 5.0×10−2 T magnetic field. (Figure 1) What is the magnitude of the magnetic flux through the triangle? If the magnetic field strength decreases, what is the direction of the induced current in the triangle?
An astronaut is connected to her spacecraft by a 29-m-long tether cord as she and the spacecraft orbit Earth in a circular path at a speed of 4.1 103 m/s. At one instant, the voltage measured between the ends of a wire embedded in the cord is measured to be 0.44 V. Assume the long dimension of the cord is perpendicular to the vertical component of Earth's magnetic field at that instant. (a) What is the magnitude of the vertical component of Earth's field at this location? uT(b) Does the measured voltage change as the system moves from one location to another? Explain.
Find the flux of Earth's magnetic field of magnitude 5.00 x 10-5 T through a square loop of area 40.0 cm2 for the following: (a) when the field is perpendicular to the plane of the loop T:m2 (b) when the field makes a 25.5° angle with the normal to the plane of the loop T.m2 (c) when the field makes a 90.0° angle with the normal to the plane T.m2
In an experiment designed to measure the Earth's magnetic field using the Hall effect, a copper bar 0.450 cm thick is positioned along an east-west direction. Assume n = 8.46 x 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 5.75 x 10-12 v, what is the magnitude of the Earth's magnetic field at this location? µT
If a rectangular loop of wire is placed between the two poles poles of a magnet, with the dimensions w = 0.30 m and L = 1.2 m, and carries a current | = 3.0 A ( clockwise). The magnetic field due to the magnet is uniform and of magnitude 0.90 T. The loop rotates in the magnetic field. What is the magnitude of maximum torque acting on the wire due to the magnetic field? B WC N L A D O 0.40 N · m O 0.83 N · m O 0.48 N · m O 0.97 N · m O 0.88 N · m
A circular loop of radius 12.4 cm is placed in a uniform magnetic field. (a) If the field is directed perpendicular to the plane of the loop and the magnetic flux through the loop is 8.50 ✕ 10−3 T · m2, what is the strength of the magnetic field? T(b) If the magnetic field is directed parallel to the plane of the loop, what is the magnetic flux through the loop? T · m2
The magnetic field changes from 1.2 T to 2.5 T over a fixed area of 0.05 m². Calculate the change in magnetic flux. The following equations may be useful: Ф — ВА O 0.19 Wb O 26 Wb 1 2 0.065 Wb O 74 Wb 3 4
A straight conductor of fixed length / is moving at 45 degrees to a uniform magnetic field of strength B with constant speed v. Calculate v, if B=9.7 T, 1=2.5 m and electromotive force e 5 V. Give your answer in Sl units. Answer: m/s
B (into the board) X X X X × X XX X X X X X X X X × X хххх Аххх хххх хх XX ххх ххххх eX X X X X X X X X X I = current Box is 4.5 cm by 11.5 cm. What is the angle between the current and the magnetic field? (B = 0.01 T, 0 = 29°, I = 6.08 A)