Physics Assignment 1-35 PDF

Preview

Summary

Download Physics Assignment 1-35 PDF

Description

PHY 102 / Spring 2017

Assignment 01

Coulomb’s Law 1. Each of two small spheres is positively charged, the combined charge totaling 410-8C. What is the charge in each sphere if they are repelled with a force of 2710-5N when placed 0.1m apart?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

2. How many excess electrons must be placed on each of two small spheres spaced 3.0 cm apart if the force of repulsion between the spheres is to be 1.0  10-19 N?

3. Point charges of 210-9C are situated at each of the three corners of a square whose sides is 0.20m. What would be the magnitudes and direction of the resultant force on a point charge 1.010-9C if it were placed (a) at the center of the square? (b) at the vacant corner?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

4. Two charges of 110-9C, each are 8 cm apart in air. Find the magnitude and direction of the force exerted by the charges on a third charge of 5.0 10-11 C that is 5 cm distant from each of the first two charges.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

5. Two point charges are located in the XY plane as follows: a charge 2.010-9 C is at the point ( x 0, y  4 cm), and a charge 3.010-9 C is at the point (x  3, y  4cm ). (a) If a third charge of 4.010-9 C is placed at the origin, find the x-component and ycomponent of the total force on this third charge. (b) Find the magnitude and direction of the resultant force on the charge at the origin also.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

6. A charge  3.010-9 C is placed at the origin of an XY coordinate system, and a charge 2.010-9 C is placed at the point (x 0, y  4 cm). If a third charge 4.010-9 is now placed at the point (x 3, y  4 cm), Find the magnitude and direction of the resultant force on this charge by the other two.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

The Electric Field 7. In a rectangular coordinate system a charge of 16x10-9 C is placed at the origin of the coordinates, a second charge of unknown magnitude is at x = 3m, y = 0, and a third charge12x10-9 C is at x = 6m, y = 0. What the magnitude of the unknown charge if the resultant field at x = 8m, y = 0 is 20.25 N/C directed to the right?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

8. In a rectangular coordinate system a charge of 25x10-9C is placed at the origin of the coordinates, and a charge of 25x10-9C is at the point x = 6m, y = 0. What is the electric field at (a) x = 3m, y = 0? (b) x = 3m, y = 4m?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

9. In a rectangular coordinate system two positive point charge of 10-8 C each are fixed at the points x = 0.1 m, y = 0 and x =  0.1m, y = 0. Find the magnitude and the direction of the field at the following points: (a) the origin (b) x = 0.2m, y = 0 (c) x = 0.1m, y = 0.15m; (d) x = 0, y = 0.1m.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

10. In a rectangular coordinate system a positive point charge of +10-8 C is fixed at the points x = 0.1m, y = 0 and a negative point charge of 10-8 C is at x =  0.1m, y = 0, Find the magnitude and the direction of the field at the following points : (a) the origin (b) x = 0.2m, y = 0 (c) x = 0.1m, y = 0.15m; (d) x = 0, y = 0.1m.

Reference: University Physics by Sears, Zemansky and Young. Ch. 24 & 25.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

The Electric Potential 11. A particle of charge 3.0 10-9 C is in a uniform electric field directed to the left. It is released from rest and moves a distance of 5 cm after its kinetic energy is found to be 4.5 10-4 J. (a) What was the work done? (b) What is the magnitude of the electric field? (c) what is the potential difference between two points?

12. A charge of 2.5 10-8 C is placed in an upwardly directed electric field of magnitude 5.0104 N/C. What is the work of the electrical force when the charge is moved (a) 45cm to the right (b) 80cm downward? (c) 60 cm upward. (d) 260cm at an angle of 45° upward from the horizontal?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

13. A positive charge q is placed at the point x =  a, y =  a, and a negative charge – q is located at x = +a, y =  a. (a )Draw the diagram showing the positions of the charges and find the potential at the origin (b) what will be the potential at any point in the x-axis?

14. Three equal point charges of 3.010-7C are placed at the corner of an equilateral triangle whose side is one meter. What is the potential energy of the system?\

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

15. Two positive point charges each of the magnitude q are fixed at the points y = +a and y = -a. (a) Draw the diagram showing the positions of the charges and find the potential at the origin (b) what will be the potential at any point in the x-axis?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

16. Two point charges q1 = 4010-9C and q2 = 3010-9C are 10 cm apart. Pont A is midway between them; point B is 8 cm from q1 and 6 cm from q2. Find (a) The potential at point A (b) The potential at point B and (c) the work required to carry a charge of 2510-9 C from point A to B.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

17. In the Bohr model of hydrogen atom, a single electron revolves a single proton in a circle of radius R. (a) By equating the electrical force to the electron mass times its acceleration, derive an expression for the electron’s speed (b) Obtain an expression for the kinetic energy and show that its magnitude is just half that of the electrical potential energy (c) Obtain the expression for the total energy and evaluate it using R=0.52810-10 m.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Date of Submission : On or before 19th February, 2017

Assignment 01

PHY 102 / Spring 2017

Assignment 01

Capacitance and Dielectric 18. A parallel plate air capacitor has a capacitance of 0.001F (a) what potential difference is required for a charge of 0.5C on each plate? (b) What is the total stored energy? (c) If the plates are separated by a distance 1.0mm, What is the area?(d) If the charge is kept constant what will be the potential difference if the separation is doubled? (e) How much work is required to double the separation? (f) What maximum voltage can be applied without dielectric breakdown?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

19. A parallel plate air capacitor is made using two plates of area 0.2m 2, spaced 1.0cm apart. It is connected to a 50V battery. (a) What is the capacitance? (b) What is the charge on each plate? (c) What is the electric field between the plates? (d) What is the energy stored in the capacitor?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

20. A 1.0F capacitor and a 2.0F capacitor are connected in series across a 1200V supply line. (a) Find the charge and voltage across each (b) The charged capacitor is disconnected from the line and from each other, and reconnected the terminals of like sign together. Find the final charge on each and voltage across each.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

21. A 1.0F capacitor and a 2.0F capacitor are connected in parallels across a 1200V supply line. (a) Find the charge and voltage across each (b) The charged capacitor is disconnected from the line and from each other, and reconnected the terminals of unlike sign together. Find the final charge on each and voltage across each.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

22. Three capacitors having capacitances 8 F, 8F, and 4F are connected in series across a 12V line (a) Find the charge and voltage across each capacitor (b) The charged capacitors are disconnected from the line and from each other, and reconnected the terminals of like sign together. Find the final charge and voltage across the capacitors.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

23. How many 1.00 F capacitors must be connected in parallel to store a charge of 1.00 C with a potential of 110 V across the capacitors?

Current and Resistance 24. A copper wire has a square cross section, 2.0mm on a side. It is 4m long and carries a current of 10A. The density of free electron is 81028/m3 (a) what is the current density in the wire? (b) What is the electric field? (c) What is the drift velocity of the electron in the wire? (d) How much time is required for an electron to travel the length of the wire?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

25. A certain electrical conductor has a square cross section, 2.0mm on a side and is 12m long. The resistance between two ends is 0.072 (a) what is the resistivity of the material? (b) If the electric field is 0.12V/m, what is the total current? (c) If the material contains 81028 free electrons per m3, find the average drift velocity of the electron.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

26. A wire 100m long and 2mm in diameter has a resistivity of 4.810-8 m (a) what is the resistance of the wire? (b) A second wire of the same material has the same mass as the 100m length, but twice its diameter. What is its resistance?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

27. The current in a wire varies with time according to the relation, i = 7A + 4 s-1t + 9 s-2 t2 (a) How many Coulombs pass a cross section of the wire in the time interval between t = 5 s and t = 10 s? (b) What constant current would transport the same charge in the same time interval?

28. (a) What is the resistance of a Nichrome wire at 0C if its resistance is 100 at 12C? (b) What is the resistance of a Carbon rod at 30C if its resistance is 0.0150 at 0C?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

29. The current in a wire varies with time according to the relation, i = (20A) Sin (377s-1t ) (a) How many Coulombs pass a cross section of the wire in the time interval between t = 0 s and t = 1/120 s? (b) How many Coulombs pass a cross section of the wire in the time interval between t = 0 s and t = 1/ 60s? (c) What constant current would transport the same charge in the same time interval?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

30. A 660W electric heater is designed to operate from 120V line (a) What is the resistance? (b) What current does it draw? (c) What is the rate of dissipation energy? (d) If the line voltage drops to 110V what power does the heater take?

31. Three equal resistors are connected in series. When a certain potential difference is applied across the combination the total power dissipated is 10W. What power would be dissipated if the resistors are connected in parallel?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

32. Answer the following questions: (i) A resistor R1 is connected in series with a resistor R2. What resistance R3 must be connected in parallel with the combination of R1 & R2 so that the equivalent resistance is equal to R2? Draw the diagram. (ii) A resistor R1 is connected in parallel with a resistor R2. What resistance R3 must be connected in series with the combination of R 1 & R2 so that the equivalent resistance is equal to R2? Draw the diagram.

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

33. Each of the three resistors in figure has a resistance 2Ω and can dissipate a maximum power 18W without becoming excessively heated. What is the maximum power the circuit can dissipate?

34. Two lamps marked “60W, 120V” and “40W, 120V” are connected in series across a 120V line. What power is consumed in each lamp?

Date of Submission : On or before 19th February, 2017

PHY 102 / Spring 2017

Assignment 01

35. A 60Ω resistor and a 90Ω resistor are connected in parallel and the combination is connected across a 120V line (a) what is the resistance of the parallel combination? (b) What is the total current of the combination? (c) What is the current through each resistor?

Reference: University Physics by Sears, Zemansky and Young,: Ch. 26, 27, 28 & 29

Date of Submission : On or before 19th February, 2017...