PHI 1101 Lecture Notes - Lecture 7: Qi, Thanetian, Modus Ponens

38 views6 pages

pinkguinea-pig341

25 Mar 2016

School

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

ngrosie3 and 39926 others unlocked

PHI 1101 Full Course Notes

Verified Note

22 documents

Document Summary

~ p v ~ q p v ~ q. ~ p v ~ q ~ p v q. ~ q ~ p: constructive dilemma (cd) Either it is forecasted to rain tomorrow, or it is forecasted to rain today. If it is forecasted to rain tomorrow, we will play the baseball game today. If it is forecasted to rain today, we will play the baseball game tomorrow. Therefore, either we will play the baseball game today or we will play it tomorrow. Thus, the class is large, and the students are noisy. Thus, the students are noisy, and the class is large: simplification (simp) I am an optimist, and i am a fair individual. Therefore, i am a fair individual: addition (add) p. Therefore, it is raining or it is sunny. If a dog bites the mailman, it must be punished. (cid:1006). Therefore, she should not be punished: affirming the consequent (ac, affirming the consequent (ac)

Related Questions

A circuit is constructed with anAC generator, a resistor, capacitor and inductor as shown. Thegenerator voltage varies in time as Îµ =Va - Vb = ÎµmsinÏt, where Îµm= 24 V and Ï = 141 radians/second. At this frequency,the circuit isin resonance with the maximum value of the current Imax = 0.81 A.The capacitance C = 140Î¼F. The values for the resistance R and theinductance L are unknown.

1)
What is L, the value of the inductance of the circuit?

mH
2)
What is Umax,C, the value of the maximum energy stored in thecapacitor during one cycle?

J
3)
What is ÎU, the total energy dissipated in the circuit in onecycle?

J
4)
What is Q, the quality factor of this ciruit?

5)
What is R, the value of the resistance of the circuit?

Î©
6)
Suppose now the value of the capacitance in the circuit is doubled(Câ = 2C) and the inductance is changed appropriately to keep thecircuit in resonance at angular frequency Ï = 141 radians/s whilethe generator voltage and resistance are kept constant. How does Q,the quality factor of the circuit, change, if at all?

Q increases
Q decreases
Q stays the same

Consider a ring of charge with total charge Q and with a radiusof R, centered at the origin in the x-y plane. Determine theelectric field at any location along the z-axis. Fill in theBLANKS.

1. Because of symmetry, the electric field at any point on thez-axis will always be in the _________________

2. Therefore, we only need to consider the ______________________of any contribution to the electric field from a single element ofcharge on the ring.

3. To calculate the electric field at a point on the z-axis, we aregoing to integrate around the ring of charge. The radius of thering is constant and therefore it makes sense for the variable ofintegration to be ___________________.

4. The z-component of the electric field from a single element ofcharge (dQ) is
_______________________________________ (write in terms of dQ, zand r-the distance from the element of charge to the pointp).

5. To calculate the charge on dQ we need to know the charge perunit length which is given by__________________________________________

6. An element of charge, dQ, has a length of _____________ (answerin terms of R and Î) and a charge of______________________________.

7. The distance from this element to the point p is given by:______________________

8. Rewriting # 4 in terms of #6 and #7 we get that_______________________________

9. Now to find the total electric field for a point along thez-axis we simply integrate around the ring making_____________________________________________

10. Suppose that z was really really large (much larger than R).What would you expect the electric field to behave as?

11. Suppose that z was zero. What do you expect the electric fieldto be?

12. Does your solution match these limiting situations?Explain.

1.Two uncharged, conducting spheres, A and B, are held at rest oninsulating stands and are in contact. A positively charged rod isbrought near sphere A. While the rod is in place, the two spheresare separated. How will the spheres be charged, if at all, afterthey are separated?
Sphere A Sphere B
(a) positive positive
(b) positive negative
(c) negative positive
(d) negative negative
(e) zero zero

2. A charged conductor is brought near an uncharged insulator.Which one of the following statements is true?
(a) Both objects will repel each other.
(b) Both objects will attract each other.
(c) Neither object exerts an electrical force on the other.
(d) The objects will repel each other only if the conductor has anegative charge.
(e) The objects will attract each other only if the conductor has apositive charge.

3. An electron is moved from point A, where the electric potentialis VA = â240 V, to point B, where the electric potential is VB =â360 V. What is the change in the electric
potential energy?
(a) 1.92Ã10â17 J (b) 2.04Ã10â17 J (c) 5.75Ã10â17 J (d) 8.98Ã10â17 J(e) 1.05Ã10â16 J

4. A -2q charge is located a distance d to the right of a +4qcharge, along the x
axis. At which point (or points) along the axis does the electricfield go to zero? To
solve this problem, consider an observer at point P, which is anarbitrary distance x from the +4q charge. Find the value (orvalues) for x (in terms of the separation distance d) where thetotal electric field vanishes.
(a) The electric field is never zero in the vicinity of thesecharges.
(b) The electric field is zero at x = -0.328d.
(c) The electric field is zero at x = +4.22d.
(d) The electric field is zero at both x = -2.26d and x =+2.26d.
(e) The electric field is zero at x = +3.41d.

5. point A is a distance L away from a point charge Q. Point B is adistance 4L away from Q. What is the ratio of the electrostaticpotential at B to that at A, i.e., what is VB/VA?
(a) 1/16
(b) 1/9
(c) 1/4
(d) 1/3
(e) can not be determined without specifying Q and L

6. Which one of the following statements best explains why it ispossible to define an electric potential
in a region of space that contains an electric field?
(a) Work must be done to bring two positive charges closertogether.
(b) Like charges repel one another and unlike charges attract oneanother.
(c) A positive charge will gain kinetic energy as it approaches anegative charge.
(d) The work required to bring two charges together is independentof the path taken.
(e) A negative charge will gain kinetic energy as it moves awayfrom another negative charge.

PHI 1101 Lecture Notes - Lecture 7: Qi, Thanetian, Modus Ponens

PHI 1101 Full Course Notes

Document Summary

Get access

Related textbook solutions

Physics: Principles with Applications

Related Questions