Consider the B-field a distance z from a current sheet (flowing in the +x-direction) in the z = 0 plane. The B-field has: <img src="./images/currentsheet_axes.png" align="left" style="width: 400px";/> 1. y-component only 2. z-component only 3. y and z-components 4. x, y, and z-components 5. Other Note: * CORRECT ANSWER: A
I will be in class on Wednesday. 1. Yup 2. Nope, hoss, I'll be out.
<img src="./images/solenoid_2D.png" align="right" style="width: 100px";/> An infinite solenoid with surface current density $K$ is oriented along the $z$-axis. To use Ampere's Law, we need to argue what we think $\mathbf{B}(\mathbf{r})$ depends on and which way it points. For this solenoid, $\mathbf{B}(\mathbf{r})=$ 1. $B(z)\,\hat{z}$ 2. $B(z)\,\hat{\phi}$ 3. $B(s)\,\hat{z}$ 4. $B(s)\,\hat{\phi}$ 5. Something else?
<img src="./images/solenoid_loop_outside.png" align="right" style="width: 250px";/> An infinite solenoid with surface current density $K$ is oriented along the $z$-axis. Apply Ampere's Law to the rectangular imaginary loop in the $yz$ plane shown. What does this tell you about $B_z$, the $z$-component of the B-field outside the solenoid? 1. $B_z$ is constant outside 2. $B_z$ is zero outside 3. $B_z$ is not constant outside 4. It tells you nothing about $B_z$ Note: * CORRECT ANSWER: A
<img src="./images/solenoid_loop_outside.png" align="right" style="width: 250px";/> An infinite solenoid with surface current density $K$ is oriented along the $z$-axis. Apply Ampere's Law to the rectangular imaginary loop in the $yz$ plane shown. We can safely assume that $B(s\rightarrow\infty)=0$. What does this tell you about the B-field outside the solenoid? 1. $|\mathbf{B}|$ is a small non-zero constant outside 2. $|\mathbf{B}|$ is zero outside 3. $|\mathbf{B}|$ is not constant outside 4. We still don't know anything about $|\mathbf{B}|$ Note: * CORRECT ANSWER: B
What do we expect $\mathbf{B}(\mathbf{r})$ to look like for the infinite sheet of current shown below? <img src="./images/current_sheet_coords.png" align="right" style="width: 300px";/> 1. $B(x)\hat{x}$ 2. $B(z)\hat{x}$ 3. $B(x)\hat{z}$ 4. $B(z)\hat{z}$ 5. Something else Note: * CORRECT ANSWER: C
Which Amperian loop are useful to learn about $B(x,y,z)$ somewhere? <img src="./images/B_sheet_loops.png" align="center" style="width: 400px";/> E. More than 1 Note: * CORRECT ANSWER: E * Both B and A are useful!