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  1. AP Physics C E M
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What are the steps to determine the direction of the force on a current-carrying wire using the Right-Hand Rule (RHR)?

  1. Point your thumb in the direction of the current (I). 2. Point your fingers in the direction of the magnetic field (B). 3. Your palm will point in the direction of the force (F).
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What are the steps to determine the direction of the force on a current-carrying wire using the Right-Hand Rule (RHR)?

  1. Point your thumb in the direction of the current (I). 2. Point your fingers in the direction of the magnetic field (B). 3. Your palm will point in the direction of the force (F).

What are the steps to determine the direction of the magnetic field around a current-carrying wire using the Right-Hand Curl Rule (RHCR)?

  1. Point your thumb in the direction of the current (I). 2. Curl your fingers; they will curl in the direction of the magnetic field (B).

Outline the process to determine the force between two parallel current-carrying wires.

  1. Use RHCR to find the magnetic field created by wire 1 at the location of wire 2. 2. Use RHR to find the force on wire 2 due to the magnetic field from wire 1. 3. Determine if the force is attractive (parallel currents) or repulsive (anti-parallel currents).

Describe the steps to calculate the torque on a current loop in a magnetic field.

  1. Determine the area (A) of the loop. 2. Find the angle (θ\thetaθ) between the normal to the loop and the magnetic field. 3. Calculate the torque using the formula τ=NIABsin⁡(θ)\tau = NIAB \sin(\theta)τ=NIABsin(θ).

What is the process for solving a problem involving a wire with both straight and curved sections in a magnetic field?

  1. For straight sections, use F=ILBsin⁡(θ)F = ILB\sin(\theta)F=ILBsin(θ) and the RHR. 2. For curved sections, consider symmetry to simplify. 3. Integrate or sum the forces on small segments if necessary.

What are the key differences between the Right-Hand Rule (RHR) and the Right-Hand Curl Rule (RHCR)?

RHR: Used to find the force on a charge or wire in a magnetic field. | RHCR: Used to find the direction of the magnetic field created by a current-carrying wire.

Compare the forces between parallel and anti-parallel current-carrying wires.

Parallel Currents: Wires attract each other. | Anti-Parallel Currents: Wires repel each other.

What are the key differences between the Right-Hand Rule (RHR) and the Right-Hand Curl Rule (RHCR)?

RHR: Determines force direction on a charge or wire. Thumb = current, Fingers = B-field, Palm = Force. | RHCR: Determines magnetic field direction around a wire. Thumb = current, Fingers curl = B-field.

Compare and contrast the magnetic force on a single moving charge versus the magnetic force on a current-carrying wire.

Single Charge: Force on a single moving charge is given by F⃗=qv⃗×B⃗\vec{F} = q\vec{v} \times \vec{B}F=qv×B. | Current-Carrying Wire: Force on a wire is a summation of forces on individual charges, given by F⃗=IL⃗×B⃗\vec{F} = I \vec{L} \times \vec{B}F=IL×B.

Differentiate between the net force and net torque on a closed current loop in a uniform magnetic field.

Net Force: Always zero on a closed loop in a uniform B-field because forces cancel out. | Net Torque: Can be non-zero, causing the loop to rotate; depends on the orientation of the loop.

Compare the magnetic field strength near a long straight wire versus the force between two parallel wires.

Magnetic Field: The magnetic field strength decreases with distance (B=μ0I2πrB = \frac{\mu_0 I}{2 \pi r}B=2πrμ0​I​). | Force Between Wires: The force depends on both currents and the distance between them.

Compare the effect of parallel and anti-parallel currents in two adjacent wires.

Parallel Currents: Wires attract each other due to the interaction of their magnetic fields. | Anti-Parallel Currents: Wires repel each other due to the interaction of their magnetic fields.