The magnetic flux through the loop shown in the accompanying figure varies with time according to phim = 5.00e−3t sin(170pi(t)), where phim is in milliwebers. What are the magnitude and direction of the current (in A) through the 5.00 ohms resistor at the following times? t = 2.17 ✕ 10−2 s and t = 0.5 s My equation that I am using is E = -5e-3t[(170pi)cos(170pi(t)) + -3sin(170pi(t))]10^-3. My answers were 0.49(downward) and 5.5x10^-3(upward). The directions are correct, but the numbers are not.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 28P: A magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B...
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The magnetic flux through the loop shown in the accompanying figure varies with time according to phim = 5.00e−3t sin(170pi(t)), where phim is in milliwebers. What are the magnitude and direction of the current (in A) through the 5.00 ohms resistor at the following times?

t = 2.17 ✕ 10−2 s   and  t = 0.5 s

My equation that I am using is  E = -5e-3t[(170pi)cos(170pi(t)) + -3sin(170pi(t))]10^-3.

My answers were 0.49(downward) and 5.5x10^-3(upward). The directions are correct, but the numbers are not.

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