AP Physics 2 Unit 4: Magnetism and Electromagnetic Induction

A conducting rod of length $L=0.5\mathrm{m}$ slides along frictionless rails at constant velocity $v=4m/s$ in a uniform magnetic field $B=0.3\mathrm{T}$ perpendicular to the plane of the rails. The resistance of the circuit is $R=0.6\Omega$. What external force is needed to maintain constant velocity?

A long solenoid has $n$ turns per unit length and carries current $I$. Which expression gives the magnetic field inside the solenoid?

A square loop of side $s=0.2\mathrm{m}$ and resistance $R=4\Omega$ is in a magnetic field that is increasing at $dB/dt=50T/s$ perpendicular to the loop. What is the power dissipated in the loop?

A proton moves in a circle of radius $r$ when it enters a region with a uniform magnetic field $B$ perpendicular to its velocity. Which of the following expressions gives the speed of the proton? ($m_p$ = proton mass, $e$ = proton charge)

A proton moves with velocity $v$ in a magnetic field $B$. The magnetic force on the proton is given by:

An electron enters a region with both a uniform electric field $E=1000V/m$ pointing upward and a uniform magnetic field $B=0.02\mathrm{T}$ pointing out of the page. The electron moves horizontally to the right without deflection. What must be the speed of the electron?

A long straight wire carries current $I$ to the right. A proton (positive charge) is located directly above the wire and is moving to the right (same direction as $I$). What is the direction of the magnetic force on the proton?

A rectangular loop of wire is placed in a uniform magnetic field $B$ pointing into the page. The loop lies in the plane of the page. If the magnetic flux through the loop is ${\Phi }_B=BA$ where $A$ is the loop area, what is the induced EMF when the loop is stationary?

Two long parallel wires carry equal currents $I$ in opposite directions and are separated by distance $d$. What is the nature of the magnetic force between them?

A rectangular conducting loop is pulled out of a uniform magnetic field $B$ pointing into the page at constant velocity $v$. The loop has width $L$ (the side perpendicular to $v$). Which expression gives the magnitude of the induced EMF while the loop is being pulled out?

Lenz's law states that the direction of an induced current is such that it:

A circular loop of radius $r=0.1\mathrm{m}$ has resistance $R=5\Omega$. It is placed in a magnetic field perpendicular to the loop. The field changes at a rate of $\frac{dB}{dt}=200T/s$. What is the induced current in the loop?