Physics 2: Electromagnetic Induction

A region of the rectangular wire loop shown below sits in a uniform magnetic field directed into the page, $\vec{B}$ = 7.0 T. The coil is being pulled to the right (shown in blue) at a velocity of 3 m/s. Note that the loop is being pulled into a region that does not contain a magnetic field. Find the:

C. Force required to pull the wire loop at constant velocity

A square coil, with dimensions l = 12.0 cm, w = 7.0 cm, is placed d = 3.0 cm above a wire that carries a current of 30.0 A. Find the magnetic flux through the wire.

A circular loop of wire is moving downwards towards a magnet as shown below. Find the direction of the induced current (viewed from above) as:

A. the loop approaches the north pole

B. the loop moves past the south pole

The wire depicted below has a current I = 25.0 A, r$_1$ = 9.0 cm and r$_2$ = 6.0 cm. Find the magnetic dipole moment $\vec{\mu}$.

The circuit below is a square with sides L and is placed in a magnetic field directed into the screen. Attached to the circuit are two light bulbs of resistance R $\Omega$. The magnetic field is described by the function B(t) = at + b. What is the current in the circuit and in what direction does it flow. Also how much power is dissipated in light bulb 1.

The solenoid depicted below has a diameter, $\Phi$ = 10 cm, and initial $\vec{B}$ = 40 mT. Due to an increasing current, the $\vec{B}$ field increases at 7 $\frac{mT}{s}$. Determine the magnitude and direction of the induced electric field at a radius of r = 3 cm within the solenoid.

The solenoid depicted below has a diameter, $\Phi$ = 10 cm, and initial $\vec{B}$ = 40 mT. Due to an increasing current, the $\vec{B}$ field increases at 7 $\frac{mT}{s}$. Determine the magnitude and direction of the induced electric field at a radius of r = 9 cm (this is outside of the solenoid).