The current $I_1$ in loop 1 is increasing. What is the direction of the induced current in loop 2, which is co-axial with loop 1?

1. The same direction as $I_1$
2. The opposite direction as $I_1$
3. There is no induced current
4. Need more information

The current $I_1$ in loop 1 is increasing. What is the direction of the induced current in loop 2, which lies in the same plane as loop 1?

1. The same direction as $I_1$
2. The opposite direction as $I_1$
3. There is no induced current
4. Need more information

The current $I_1$ in loop 1 is decreasing. What is the direction of the induced current in loop 2, which lies in a plane perpendicular to loop 1 and contains the center of loop 1?

1. The same direction as $I_1$
2. The opposite direction as $I_1$
3. There is no induced current
4. Need more information

Two flat loops of equal area sit in a uniform field $\mathbf{B}$ which is increasing in magnitude. In which loop is the induced current the largest? (The two wires are insulated from each other at the crossover point in loop 2.)

1. Loop 1
2. Loop 2
3. They are both the same
4. Not enough info

A loop of wire 1 is around a very long solenoid 2.

= the flux through loop 1 due to the current in the solenoid

= the flux through the solenoid due to the current in loop 1

Which is easier to compute?

1. $M_{12}$
2. $M_{21}$
3. equally difficult to compute

A long solenoid of cross sectional area, $A$, length, $l$, and number of turns, $N$, carrying current, $I$, creates a magnetic field, $B$, that is spatially uniform inside and zero outside the solenoid. It is given by:

1. $B = \mu_0 {N^2}/{l}$
2. $B = \mu_0 ({N^2}/{l})I$
3. $B = \mu_0 ({N}/{l})I$
4. $B = \mu_0 ({N^2}/{l})AI$

A long solenoid of cross sectional area, $A$, length, $l$, and number of turns, $N$, carrying current, $I$, creates a magnetic field, $B$, that is spatially uniform inside and zero outside the solenoid. The self inductance is:

1. $L=\mu_0{N^2}/{(IA)}$
2. $L=\mu_0({N}/{l})A$
3. $L=\mu_0({N^2}/{l^2})A$
4. $L=\mu_0({N^2}/{l})A$

Loop 1 sits in a uniform field B which is increasing in magnitude. Loop 2 has the SAME LENGTH OF WIRE looped (coiled) to make two (smaller) loops. How do the induced EMFs compare?

1. EMF(1)=4 EMF(2)
2. EMF(1) = 2 EMF(2)
3. They are both the same.
4. EMF(2)= 4 EMF(1)
5. EMF(2) = 2 EMF(1)

The switch is closed at $t=0$. What can you say about $I(t=0+)$?

1. Zero
2. $V_0/R$
3. $V_0/L$
4. Something else!
5. ???

The switch is closed at $t=0$. Which graph best shows $I(t)$?

E) None of these (they all have a serious error!)

The switch is closed at $t=0$. What can you say about the magnitude of $\Delta V$(across the inductor) at $(t=0+)$?

1. Zero
2. $V_0$
3. $L$
4. Something else!
5. ???

For the RL circuit with driving voltage of $V(t) = V_0 \cos (\omega t)$, we found a solution for the current as a function of time, with $I=0$ at $t=0$,

$$I(t) = a \cos(\omega t + \phi) - a\cos(\phi) e^{-Rt/L}$$

where $a = \frac{V_0}{\sqrt{R^2+L^2\omega^2}}$ and $\phi = \tan^{-1}(-L\omega/R)$. What happens to the current when $\omega \rightarrow 0$?

1. Current is essentially zero, for all time
2. Current dies off completely, eventually goes to zero
3. Eventually, current is constant, $V_0/R$
4. It depends
5. ???

For the RL circuit with driving voltage of $V(t) = V_0 \cos (\omega t)$, we found a solution for the current as a function of time, with $I=0$ at $t=0$,

$$I(t) = a \cos(\omega t + \phi) - a\cos(\phi) e^{-Rt/L}$$

where $a = \frac{V_0}{\sqrt{R^2+L^2\omega^2}}$ and $\phi = \tan^{-1}(-L\omega/R)$. What happens to the current when $\omega \rightarrow \infty$?

1. Current is essentially zero, for all time
2. Current dies off completely, eventually goes to zero
3. Eventually, current is constant, $V_0/R$
4. It depends
5. ???

Which point below best represents $4e^{i3\pi/4}$ on the complex plane?

What is the total impedance of this circuit, $Z_{total}$?

1. $R + i\left(\omega L + \frac{1}{\omega C}\right)$
2. $R + i\left(\omega L - \frac{1}{\omega C}\right)$
3. $\frac{1}{R} + \frac{1}{i\omega L} + {i \omega C}$
4. $\dfrac{1}{\frac{1}{R} + \frac{1}{i\omega L} + {i \omega C}}$
5. None of these