Using Faraday's Law - AP Physics C: Electricity and Magnetism
Card 0 of 11
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above
A wire loop of area
is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
A wire loop of area is placed in a magnetic field whose magnitude varies with time according to the equation
. The loop is held in place, perpendicular to the field. If the wire has resistance
, what is the magnitude of the maximum instantaneous current induced in the loop?
Relevant equations:



Write the expression for the flux using the given expression for the magnetic field strength:

Take the derivative of this flux to find the induced emf:

Determine the maximum value of
, and replace
with this value, to find the maximum induced emf:

Plug this maximum induced emf into
, to find the maximum induced current:

Relevant equations:
Write the expression for the flux using the given expression for the magnetic field strength:
Take the derivative of this flux to find the induced emf:
Determine the maximum value of , and replace
with this value, to find the maximum induced emf:
Plug this maximum induced emf into , to find the maximum induced current:
Compare your answer with the correct one above