(796) Problem 1: A rectangular wire with side a-0.015 m. b-0.035 m is in a magne
ID: 2040897 • Letter: #
Question
(796) Problem 1: A rectangular wire with side a-0.015 m. b-0.035 m is in a magnetic field B directed perpendicularly to the face of the wire, as shown. The perpendicular component is a function of time as B(t)-Asin(o), where A0.75 T, co-2 rads-1. În this problem, take the normal vector to the surface of the loop to be parallel to the magnetic field Otheexpertta.com 25% Part (a) Express the magnetic flux going through the wire. ?, in terms of a. b. A. ?, and t Grade Summary Deductions Potential 0% 10096 7 8 9 cos(a)cos( cos(o) cos(e) sin(a) sin(o) sin(?t) sin(o) | sin(?) Submissions emaining: Attempts r (2% per attempt) detailed view 6 END Submit Hint I give up! Hints: 2% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. 25% Part (b) Express the the emf, e, induced in the loop in terms of the derivative of ? -? 25% Part (c) Find the emf, e, induced in the loop in terms of4, ?, a, and b là 25% Part (d) Calculate the magnitude of the emf at t-3.9 s in yExplanation / Answer
a) magnetic flux = B A cos 0
phi(t) = a b A sin wt
b) magnitude of emf = -d phi / dt
c) magnitude of emf = -a b A w cos wt
d) E = - 0.015 * 0.035 * 0.75 * 2 * cos(2 * 3.9)
= 7.87 * 10-4 * cos (7.8 * 180/pi)
= 4.25 * 10-5 V
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.