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QUIZ 11 , CHAPTER 30 PROBLEMS : |
| Turn in only: 6, 16, 22, 24, 32, 54 |
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Simulation: Click here for the motion of an electron in a uniform electric field. |
| 6. See example 30-3. The formula for L is derived and used to solve a similar numerical problem. |
| 16. Use formula 30-7 and formula 24-6. While I did not derive the former equation , it follows analogously from the derivation of 24-6, which I did review for sure. For part (b), set the energy densities equal, writing uE = uB and solve for the electric field magnitude E. |
| 22. Use formula 30-9 for computational problems which I reviewed in class: For (a), set 0.95 = (1 - e-Rt/L) and solve for the time using manipulation and by taking the natural log (ln) of both sides of the equation. Similar methods apply to (b) and (c). |
| 32. Yo, we did this in class. We said the picture
would look different than figure 30-11 in that the charge would
initially be zero and the current would initially be at maximum.
In other words we said Q = -Qmsinwt because
the current would be draining the plate when the charge on
it is zero. That's a recipe for an initially decreasing
charge, i.e. a negative sine function. To get the current,
just differentiate as follows: I = -dQ/dt. The negative sign is
critical since the charge decreases as the positive current
exits plate. Note the charge amplitude Qm is the maximum charge. The maximum charge can be found by equating the (total energy when the current is zero) to (the total energy when the charge is zero). (1/2)*Qm2/C=(1/2)*L*Io2. Solve for the maximum charge in terms of Io and insert it into the formula for the charge Q vs t. |