A magnetic fieldB(t)=(2.5T × (+)² k250 Tx (1)for t <10 s-210 sfor t>10sis oriented into the page.A square loop with side length = 10 cm composed of conducting material is orientedperpendicularly to the magnetic field, as in Figure. The resistance of the loop isR = 100 N.(a) Calculate the Eind and Iind induced in the loop at t = 2.0s.Indicate the direction of Iind.(b) Calculate the Eind and Iind induced in the loop at t = 20s.Indicate the direction of Iind.(c) Calculate the power dispersed by the loop at t = 1.0 s.Calculate the energy stored in 1.00 cm³ of space having a magnetic field equal to the oneat t = 1.0 s.ХХX× ×崗XXx x+

(a) The induced emf will beε=−dtdBAcosϕ…

Answered: A magnetic field B(t) = (2.5T × (+)² k…

University Physics Volume 2

18th Edition

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Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 33P: A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially...

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A single-turn circular loop of wire of radius 50 mm lies in a plane perpendicular to a spatially uniform magnetic field. During a 0.10-s time interval, the magnitude of the field Increases uniformly from 200 to 300 mT. (a) Determine the emf Induced in the ioop. (b) If the magnetic field is directed out of the page, what is the direction of the cun-ent induced in the loop?
A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?
Suppose the magnetic field of the preceding problem oscillates with time according to B=B0sint . What then isthe emf Induced in the loop when its trailing side Is a distance d from the right edge of the magnetic field region?
A coil with 50 turns and area 10cm2 is oriented with its plane perpendicular to a 0.75-T magnetic field. If the coil is flipped over (rotated through 180°) in 0.20 s, what is the average emf induced in it?
A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?
A thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?
Check Your Understanding What Is the magnitude of the induced electric field in Example 13.8 at t=0 if r= 6.0cm, R= 2.0cm,n = 2000 turnspermeter, I0= 2.0A, and a = 200s-1?
In the circuit sho in the accompanying figure, the rtd slides along the conducting rails at a constant VelOCity v. The velocity is in the same plane as the rails and directed at an angle 6 to them. A uniform magnetic field Bis directed out of the page. What is the emf induced in the r?
If electric and magnetic field strengths vary sinusoidally in time at frequency 1.00 GHz, being zero at t=0, then E=E0sin2ft. (a) When are the field strengths next equal to zero? (b) 4Jhen do they reach their most negative value? (c) How much time is needed for them to complete one cycle?
A solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?
The potential difference V(t) between parallel plates shown above is instantaneously increasing at a rate of 107V/s. What is the displacement current between the plates if the separation of the plates is 1.00 cm and they have an area of 0.200m2?
A parallel-plate capacitor with plate separation d is connected to a source of emf that places a time-dependent voltage V(t) across its circular plates of radius r0and area (a) Write an expression for the time rate of change of energy inside the capacitor in terms of V(t) and dV(t)/ dt. (b) Assuming that V(t) is increasing with time, identify the directions of the elecuic field lines inside the capacitor and of the magnetic field lines at the edge of the region between the plates, and then the direction of the Poynting vector S at this location. (c) Obtain expressions for the time dependence of E(t), for B(t) from the displacement current, and for the magnitude of the Poynting vector at the edge of the region between the plates. (d) From S , obtain an expression In terms of ‘(t) and dV(t)/dt for the rate at which electromagnetic field energy the region between the plates. (e) Compare the results of pails (a) and (d) and explain the relationship between them.

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