Faraday's Law with Calculus Video Lessons

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Problem: The magnetic flux through the loop shown in the figure below increases according to the relation ΦB =6.0t2 + 6.4t, where ΦB is in milliwebers and t is in seconds.(a) What is the magnitude of the emf induced in the loop when t = 2.9 s?mV(b) What is the direction of the current through R?leftright    insufficient information

FREE Expert Solution

In this problem, we'll apply Faraday's law to determine the magnitude of the induced emf and Lenz's law to determine the direction.

Induced emf:

ε=Nϕt, where Φ  is the magnetic flux, N is the number of turns, t is the time, and A is the cross-sectional area of the coil.

Lenz's law: The induced current flows in a direction such that it opposes the change in flux inducing it. 

Power rule of derivation:

ddt(xn)=nxn-1

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Problem Details

The magnetic flux through the loop shown in the figure below increases according to the relation ΦB =6.0t2 + 6.4t, where ΦB is in milliwebers and t is in seconds.

(a) What is the magnitude of the emf induced in the loop when t = 2.9 s?

mV


(b) What is the direction of the current through R?

left

right    

insufficient information

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