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  1. AP Physics C E M
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Define magnetic force vector (F⃗B\vec{F}_{B}FB​).

The vector representing the force exerted on a current-carrying conductor by a magnetic field.

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Define magnetic force vector (F⃗B\vec{F}_{B}FB​).

The vector representing the force exerted on a current-carrying conductor by a magnetic field.

Define induced current (III).

The electric current generated in a conductive loop due to a changing magnetic flux.

Define displacement vector (d⃗\vec{d}d).

A tiny vector representing a small segment of the conductor's length, used in calculating magnetic force.

Define magnetic field vector (B⃗\vec{B}B).

A vector field that describes the magnetic influence of electric currents and magnetic materials.

Define magnetic flux.

A measure of the amount of magnetic field lines passing through a given area. It's the product of the magnetic field strength and the area perpendicular to the field.

Define translational acceleration.

Acceleration in a straight line, resulting in a change in linear velocity.

Define rotational acceleration.

Acceleration around an axis, resulting in a change in angular velocity.

What is the effect of increasing the external magnetic field strength on the induced current?

A stronger external magnetic field leads to a higher induced current in the loop.

What is the effect of increasing the loop's velocity relative to the magnetic field?

Faster movement of the loop relative to the magnetic field results in a greater induced current and a stronger magnetic force.

What happens when a conducting loop is oriented perpendicular to the magnetic field lines?

Maximum induced current and magnetic force occur.

What happens when a conducting loop is oriented parallel to the magnetic field lines?

The induced current and magnetic force are zero.

What is the effect of increasing the number of turns in a coil?

Increasing the number of turns or coils in a loop results in a higher induced current.

What are the steps to calculate magnetic force on a conductor?

  1. Determine the induced current (I) in the conductor. 2. Identify the magnetic field vector (B⃗\vec{B}B). 3. Define the displacement vector (d⃗\vec{d}d). 4. Integrate I(d⃗×B⃗)I(\vec{d} \times \vec{B})I(d×B) over the length of the conductor to find the magnetic force F⃗B\vec{F}_{B}FB​.

What are the steps to apply Newton's Second Law to a conducting loop in a magnetic field?

  1. Identify all forces acting on the loop (including magnetic force). 2. Calculate the net force (F⃗net\vec{F}_{net}Fnet​). 3. Use F⃗net=ma⃗\vec{F}_{net} = m\vec{a}Fnet​=ma to find the acceleration (a⃗\vec{a}a). 4. Use kinematic equations to predict the loop's motion.