1.You draw a coordinate system with +ˆx pointing to the right of the page and +ˆ

Question

1.You draw a coordinate system with +ˆx pointing to the right of the page and +ˆz pointing into the page. In what direction is +ˆy?

(a) into the page

(b) out of the page

(c) to the left of the page

(d) to the right of the page

(e) to the top of the page

(f) to the bottom of the page

2.Given the vectors A~ = 2ˆy+ 3ˆz and B~ = ˆy+ ˆz Evaluate A~ ×B~ = C~ .

Select One of the Following:

(a) 1

(b) 5

(c) 2ˆy + 3ˆz

(d) ?x

3. An electron is accelerated to very near the speed of light (v = 3 × 108 m s ) in a particle accelerator. It travels down the center of a “beam pipe” (as shown to the right) with radius 2.5cm. What is the magnetic field (magnitude and direction, naturally) produced by the electron at the point P at the edge of the beam pipe at the same cross-section as the electron?

(a) B = 7.7 × 10^?15T into the page

(b) B = 7.7 × 10^?15T out of the page

(c) B = 6.5 × 10^?9T into the page

(d) B = 6.5 × 10^?9T out of the page

(e) B = 4.9 × 10^?4T into the page

4.Modern house wiring is fused at 20A. What is the magnetic field from the maximum house current at 1mm from the center of an isolated wire (modeled as an infinite straight wire), the closest you can get for an insulated wire?

(a) 2 × 10^?3T (b) 4 × 10^?3T (c) 5 × 10^?4T 2 (d) 7 × 10^?5T (e) 6 × 10^?9T

5. A solenoid, in the infinite solenoid approximation, has 100 turns per meter and carries a current of 5A. Compute the magnitude of the magnetic field in the interior of the solenoid.

(a) B = 6 × 10^?8T (b) B = 6 × 10^?4T (c) B = 3 × 10^?5T (d) B = 1 × 10^?3T (e) B = 7 × 10^?1T

Explanation / Answer

1. option e to the botom of the page. (cross product of x and y should point to z direction)

2. option d. C = -x (Simple cross product)

3. option a

I = Q/T = 1.6*10-19 / (1/(3*108)) = 4.8*10-11 A

B= (2*10-7)*(4.8*10-11) / (2.5*10-2) = 2.4 *10-15 T, Into the page. (right hand thumb rule)

4. option b. B= (2*10-7)* I/a = (2*10-7)*(20) / (1*10-3) = 4*10-3 T

5. option b B=(4(pi)*10-7)*n*i = 4*3.14*10-7*100*5 = 6.28*10-4 T

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