Pictured at 1=0 1m u= 10 m/s A semicircular conducting loop containing a resistor R is shown at time t = 0. If the loop is moving with constant velocity u = 10x m/s in a time-varying magnetic flux density of B(p, t) = 2(4-p)cos (5nt + n/4) T, where p is the radial distance from the origin in meters and t is in seconds. If the loop radius is 1 m a. Calculate the transformer emf induced at t=0. Indicate your coordinate system of choice! b. Calculate the total emf induced at t = 0. c. Indicate clearly the direction of current flow within the loop at t= 0. Explain how you arrived at your answer.

Pictured at 1=0 1m u= 10 m/s A semicircular conducting loop containing a resistor R is shown at time t = 0. If the loop is moving with constant velocity u = 10x m/s in a time-varying magnetic flux density of B(p, t) = 2(4-p)cos (5nt + n/4) T, where p is the radial distance from the origin in meters and t is in seconds. If the loop radius is 1 m a. Calculate the transformer emf induced at t=0. Indicate your coordinate system of choice! b. Calculate the total emf induced at t = 0. c. Indicate clearly the direction of current flow within the loop at t= 0. Explain how you arrived at your answer.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Find the power dissipated in the 6.22 N re- sistor in the figure. The 0.318T uniform magnetic field is directed into the plane of the circuit and the 47 cm long conductor moves at a speed of 6.14 m/s. (X) 0.318 T X) 6.14 m/s X) X) 0.318 T 1 (X) Find the power dissipated in the resistor. Answer in units of mW. 47 cm 6.22 N
A wire carrying a current /= 27.0 A is bent into the shape of an exponential spiral. Its polar coordinate is described by r = exp(0) from 0-0 to 0-2 as shown in the figure. dr ds B-x/4 To complete the loop, the ends of the spiral are connected by a straight wire along the x axis. Find the magnitude of the magnetic field B at the origin. Suggestions: Although this problem may look daunting at first, remember that the Biot-Savart law is a good starting point to find the magnetic field due to a given current distribution. The simple exponential dependence of the path on the angle should give rise to an integral that is easy to solve. Also, it may help to know that the angle ẞ between a radial line and its tangent line at any point on the curve r = f(0) is related to the function in the following way: tan(B) dr di Thus, in the case of r = exp(0), tan(B)=1 and ẞ=4. Therefore, the angle between the line element vector ds and the radial unit vector r^ is -ẞ=. Additionally, this gives: dr…
Four long, parallel conductors carry equal currents of I = 5 A. The figure shows one end of the conductors. The direction of the current is towards the page at points A and B (indicated by the crosses) and out of the page at C and D (indicated by the points). Calculate the magnitude and direction of the magnetic field at point P, located in the center of the 0.200-m square.
A long wire is folded to form a semicircle of radius b as shown *b.P in figure. Find the magnetic flux density B at point P (the center of the semicircle).
A charged particle with mass m, charge q, kinetic energy K enters a magnetic field and then follows a circle of radius r as seen in the figure. Find the magnitude and direction of the magnetic field B. m, q
4. A loop of wire with radius R 2 cm carries a current I whose magnitude increases at 2 A/s in the clockwise direction as shown. The inner loop is made of copper with a resistance of 1 /cm and a R2 1 cm. RI R2 a. What is the magnitude of the induced current in the inner loop? For simplicity's sake assume that the magnetic field is uniform within the loop. b. What is the direction of the induced current in the inner loop? Justify your answer.
Two long, parallel conductors, separated by 14.0 cm, carry currents in the same direction. The first wire carries a current I = 4.00 A, and the second carries 1₂ = 8.00 A. (See figure below. Assume the conductors lie in the plane of the page.) 1₂ # (a) What is the magnetic field created by I, at the location of I? magnitude T direction Select-- v (b) What is the force per unit length exerted by I, on 1₂? magnitude N/m direction Select- (c) What is the magnetic field created by I₂ at the location of 1₁? magnitude direction -Select-- (d) What is the force per length exerted by 1₂ on 1₁? magnitude N/m direction -Select--
A current path of the shape shown in the figure produces a magnetic field at P, the center of the arc. If the arc subtends an angle of 30 ° and the radius of the arc is 0.600 m, what are the magnitude and direction of the field produced at P if the currents are 3A?
The figure below shows a wire that forms a semicircle of radius R=10. 0 cm and two straight segments each of length 7.0 cm. The wire carries a current i = 42.0 mA.(a) What are the magnitude, and(b) direction of the magnetic field at point C?
A rod with mass m = 0.720 kg and radius r = 6.00 cm rests on two parallel rails, as shown in the figure. The rails are separated by a distance d = 12.0 cm and have length L = 45. cm.The rod carries a current I = 48.0 A in the direction shown in the figure and rolls on the rails without slipping. There is a uniform magnetic field of magnitude B = 0.240 T perpendicular to the rails and the rod. If the rod starts from rest, what is its speed when it leaves the rails?
Suppose we want to rotate a loop of wire using a magnetic field. The loop of wire lies on the yz plane, and current goes in the counterclockwise direction (looking at the yz plane). If we want the axis of rotation to be the z axis, what direction should the magnetic field point? ty +z O0 000 O