Increasing the number of turns increases the inductance.

A changing magnetic field induces an EMF (voltage) and can cause current to flow in the conductor.

An induced current is generated in the loop, creating a magnetic field that opposes the increase in flux.

Increasing the resistance decreases the time constant, causing the current to reach its maximum value faster.

A magnetic field is created by both electric currents and changing electric fields.

1. Identify the changing magnetic flux. 2. Calculate the rate of change of magnetic flux ($\frac{d\Phi_B}{dt}$). 3. Use $\mathcal{E} = -N \frac{d\Phi_B}{dt}$ to find the induced EMF.

1. Determine the direction of the changing magnetic field. 2. Determine the direction of the induced magnetic field (opposite to the change). 3. Use the right-hand rule to find the direction of the induced current.

When voltage is applied, the inductor resists the change in current. The current gradually increases, following the equation $I(t) = I_{max}(1-e^{-t/\tau})$, until it reaches its maximum value.

Generators use electromagnetic induction. Mechanical energy rotates a coil in a magnetic field, inducing a changing magnetic flux, which generates an EMF and thus electrical energy.

Transformers use electromagnetic induction. A changing current in the primary coil creates a changing magnetic flux, which induces a voltage in the secondary coil. The voltage ratio depends on the turns ratio of the coils.

Increasing the number of turns increases the inductance.

The induced current increases.

Increasing the resistance decreases the time constant, causing the current to reach its maximum value more quickly.

An electromotive force (EMF) is induced in the conductor.

A changing electric field creates a magnetic field (as described by Maxwell's Equations).