# Faraday's Law

The induced emf due to a changing magnetic field is equal in magnitude to the rate of change of the magnetic flux through a surface bounded by the circuit

The direction of the induced current is given by Lenz's Law

# Lenz's Law

The current induced by a changing magnetic flux creates a magnetic field opposing the change in flux

# Maxwell's Equations

# Example 1: Induced Current in a Loop

Find the generated emf as a function of time

Determine the current through the 100-ohm lamp as a function of time

What is the direction of the current through the loop at time t=5s?

Clockwise, due to Lenz's Law

# Example 2: Rod on Rails

Consider a circuit in which a current-carrying rod on rails is moved to the left with constant velocity v. If the circuit is perpendicular to a constant magnetic field, determine the induced emf in the circuit

# 2012 Free Response Question 3

# 2010 Free Response Question 3

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# 2013 Free Response Question 3