Electromagnetic Induction

Which of the following best describes inductance?

How does increasing the number of turns in a solenoid affect its inductance?

A solenoid has the following properties: number of turns $N = 500$, length $\ell = 0.2 \text{ m}$, cross-sectional area $A = 0.001 \text{ m}^2$, and core permeability $\mu_{\text{core}} = 4\pi \times 10^{-7} \text{ T}\cdot\text{m/A}$. What is the inductance of the solenoid?

A solenoid has an initial inductance $L$. If the number of turns is doubled and the length is also doubled, what is the new inductance?

How does the energy stored in an inductor change if the current through it is doubled?

An inductor with an inductance of 4 H carries a current of 2 A. How much energy is stored in the inductor?

An inductor with inductance $L$ initially has a current $I_0$ flowing through it. This inductor is then connected to a capacitor with capacitance $C$. What is the maximum energy stored in the capacitor during the subsequent oscillations?

According to Lenz's Law, the direction of the induced EMF in an inductor is:

The current through a 5 H inductor changes at a rate of 3 A/s. What is the magnitude of the induced EMF in the inductor?

The current through a 2 H inductor varies with time as $I(t) = 3t^2 + 5t$ (in amperes). What is the induced EMF in the inductor at $t = 2$ s?