Assignment on Physics Numericals Homework Help

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PhysicsII Sheet #1 Samer Zyoud Problem1 Two small spheres spaced 20.0 cm apart have equal charge. How many excess electrons must be present on each sphere if the magnitude of the force of repulsion between them is 4.57  10 21 N? Problem2 Three point charges are arranged on a line. Charge q 3 = +5.00 nC and is at the origin. Charge q 2 = -3.00 nC and is at x = +4.00 cm Charge is q 1 at x = +2.00 cm. What is (magnitude and sign) if the net force on q 3 is zero? Problem3 A charged cork ball of mass 2g is suspended on a light string in the presence of a uniform electric field. When the field E = (3i + 4j)  105N/C, the ball is in equilibrium at  = 30o. Find the charge on the ball  T E q g = 9.8 m/s2 Problem4 A semicircular ring of radius 2mm is uniformly charged. The top half of the semicircular ring has a total charge of –7.50 μC, whereas the bottom half has a total charge of +7.50 μC. Find, (a) The charge per unit length on the top half and the bottom half. (b) The magnitude and direction of the resultant electric field at O, the center of the semicircle. 1|Page PhysicsII Sheet #1 Samer Zyoud Problem5 Four identical point charges (q = +10.0 μC) are located on the corners of a rectangle. The dimensions of the rectangle are L = 60.0 cm and W = 15.0 cm. (a) Calculate the magnitude and direction of the resultant electric field at the location of the charge at the lower left corner by the other three charges. (b) What is the magnitude and direction of the force exerted on this charge? Problem6 Three point charges are located at the corners of an equilateral triangle as shown in the Figure below. (a) Calculate the resultant electric field at the location of the 7.00-μC charge. (b) Calculate the resultant electric force on the 7.00-μC charge. (c) ( Sheet #3)How much energy is necessary assemble these three charges at their current configuration? Problem7 2|Page PhysicsII Problem8 Problem9 Problem10 Problem11 3|Page Sheet #1 Samer Zyoud PhysicsII Sheet #1 Samer Zyoud Problem12 Problem13 Two small plastic spheres are given positive electrical charges. When they are 15.0 cm apart, the repulsive force between them has magnitude 0.220 N. What is the charge on each sphere a) if the two charges are equal? b) if one sphere has four times the charge of the other? Problem14 How far does the electron of a hydrogen atom have to be removed from the nucleus for the force of attraction equal the weight of the electron at the surface of the earth? Problem15 A negative charge -0.550 μC exerts an upward 0.200-N force on an unknown charge 0.300 m directly below it. a) What is the unknown charge (magnitude and sign)? b) What are the magnitudes and direction of the force that the unknown charge exerts on the -0.550 μC charge? Problem16 Two point charges are placed on the x-axis as follows: charge q = +5.00 nC is at x = _0.300 m. What are the magnitude and direction of the total force exerted by these two charges on a negative point charge q3 = -6.00 nC that is placed at the origin? 4|Page PhysicsII Sheet #1 Samer Zyoud Problem17 a) What must the charge (sign and magnitude) of a 1.45-g particle be for it to remain stationary when placed in a downward directed electric field of magnitude 650 N/C? b) What is the magnitude of an electric filed in which the electric force on proton is equal in magnitude to weight? Problem18 A uniform electric field exists in the region between two oppositely charged plane parallel plates. A proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate, 1.60 cm distant from the first, in a time interval of 1.50 × 10-6 s. a) Find the magnitude of the electric field. b) Find the speed of proton when it strikes the negatively charged plate. Problem19 Avery long, straight wire has charge per unit length 1.50 × 10-10 C/m. At what distance from the wire is the electric field magnitude equal to 2.50 N/C? Problem20 Near the earth’s surface, the electric field in the open air has magnitude 150 N/C and is directed down toward the ground. If this is regarded as being due to a large sheet of charge lying on the earth’s surface, calculate the charge a in the per unit area in the sheet. What is the sign of the charge? Problem21 point charged q1 = -4.5 nC and q2 = +4.5 nC are separated by 3.1 mm, forming an electric dipole. a) Find the electric dipole moment (magnitude and direction). b) The charges are in the uniform electric whose direction makes an angle of 36.9ο with the line connecting the charges. What is the magnitude of this field if the torque exerted on the dipole has magnitude 7.2 × 10-9 N.m? 5|Page Physics II Samer Zyoud Sheet#2 Problem1 A hollow non-conducting spherical shell of inner radius R1 and outer radius R2 carries a total charge of Q distributed uniformly throughout its volume. Determine the electric flux through a spherical surface of radius r (R1b). c- Repeat (a), and (b) if a net charge of -2.5 C is placed on the shell. Problem8 A solid copper sphere of radius 15.0 cm carries a charge of 40.0 nC. Find the electric field (a) 12.0 cm, (b) 17.0 cm, and (c) 75.0 cm from the center of the sphere. (d) What If? How would your answers change if the sphere were hollow? Problem9 A solid plastic sphere of radius 10.0 cm has charge with uniform density throughout its volume. The electric field 5.00 cm from the center is 86.0 kN/C radially inward. Find a) The total charge on the sphere b) the magnitude of the electric field 15.0 cm from the center. Problem10 A conducting spherical shell of inner radius a and outer radius b carries a net charge Q. A point charge q is placed at the center of this shell. Determine (a)the electric fields at each of the following regions r b (b) the surface charge density on the inner surface of the shell and (c) the surface charge density on the outer surface of the shell. 3|Page Physics II Sheet#2 Samer Zyoud Problem11 A point charge q is located at the center of a uniform ring having linear charge density λ and radius a, as shown in the Figure Determine the total electric flux through a sphere centered at the point charge and having radius R, where R < a. Problem12 An insulating sphere is 8.00 cm in diameter and carries a 5.70-μC charge uniformly distributed throughout its interior volume. Calculate the charge enclosed by a concentric spherical surface with radius (a) r = 2.00 cm and (b) r = 6.00 cm Problem13 4|Page Physics II Sheet#2 Samer Zyoud Problem14 Problem15 It is found experimentally that the electric field in a certain region of the earth's atmosphere is directed vertically downward. At an altitude of 300m the filed is 60N/C and at an altitude of 200m it is 100N/C. Find, (a) The net flux through a cube with each edge of length 100m located between the altitudes of 200m and 300m. (b) The net amount of charge contained in a cube 100m on edge located at an altitude between 200m and 300m. [Hint: Draw a cube with each edge length 100m located between the altitudes of 200m and 300m] 5|Page Physics II Samer Zyoud Sheet#3 Problem1 Two parallel non-conducting rings arranged with their central axes along a common line. Ring 1 has uniform charged –q and radius R: ring 2 has uniform charge q and the same radius R. The rings are separated by a distance 2R. a) With V= 0 at infinity, derive an expression for the electric potential V at point P on the common line, at a distance x from the origin O. b) Derive an expression for the net electric filed E (magnitude and direction) at point P? q –3q R R O R P R x Problem2 Three point charges q1= 5 μC, q2 =  4 μC , and q3 = 1 μC are shown in the figure. a. With V= 0 at infinity, find the electric potential V at point P located on the x axis at x = 2 m. b. A proton is placed at point P (x = 2 m), the speed of the proton when it is very far from the three charges. y q1 2m q3 P O 1m 2m q2 1|Page 1m x Physics II Sheet#3 Samer Zyoud Problem3 An electron moving parallel to the x axis has an initial speed of 3.70 × 106 m/s at the origin. Its speed is reduced to 1.40 × 105 m/s at the point x = 2.00 cm. Calculate, (a) the potential difference between the origin and that point. (b) if the electric in the region between the origin and the x = 2.00 cm is constant, what the magnitude and the direction of this electric field. (c) Which point is at the higher potential? Problem4 A thin ring of radius R carries a positive charge Q spread uniformly over its circumference. (a) Starting from the definition of the potential of a point charge, derive an expression for the potential created by the ring at a distance x from its center along the axis of the ring. (b) If an electron is released from rest at x  R 3 , how fast will it be moving when it reaches the center? Problem5 Four point charges, q  2 nC each, are fixed in position at the corners of a square 3 m on a side. Calculate the electrostatic potential energy (in electron volts) of an electron placed at the center of the square. nC  10 -9 C, 1 eV  1.6  10 19 J .   Problem6 A proton (mass = 1.67  10–27 kg, charge = 1.60  10–19 C) moves from point A to point B under the influence of an electrostatic force only. At point A the proton moves with a speed of 60 km/s. At point B the speed of the proton is 80 km/s. Determine the potential difference V B  V A . [Hint: use conservation of energy.] 2|Page Physics II Samer Zyoud Sheet#3 Problem7 Charge Q is distributed uniformly over a non-conducting ring of radius R . a) Derive an expression for the potential V (z ) at a point on the axis of the ring a distance z from its center. b) Use the expression derived above to find the electric field strength E z at the same   point. k e  9  10 9 Nm2 /C 2 , e  1.6  10 19 C . c) Evaluate V and E z for Q due to a million electrons, R  3 cm and z  4 cm. Problem8 Problem9 Problem10 3|Page Physics II Samer Zyoud Sheet#3 Problem11 Problem12 The figure shows an annulus of inner radius a = 2.0 cm and an outer radius b = 5.0 cm. The annulus has a uniform charge surface density  = 1.5x106C/m2. a) With V= 0 at infinity calculate the electric potential V at point C the center of annulus. b) What is the magnitude of the electric field at point C? c) What is the total charge q on the surface? a C  b Problem13 Two charges q1 = 5 C and q2 = +2C are located at the opposite corners of a rectangle. With V= 0 at infinity, and A and B are the at opposite corners of the rectangle, as shown, a) what is the electric potential at point A? b) What is the electric potential at point B? c) How much work is required to move a third charge q3 = +3C from point B to point A along the diagonal of the rectangle? q1 A 0.5m B q2 2m 4|Page Physics II Sheet#3 Samer Zyoud Problem14 1. A charged particle (q= - 8.0 mC), which moves in a region where the only force acting on the particle is an electric force, is released from rest at point A. At point B the kinetic energy of the particle is equal to 4.8 J. What is the electric potential difference (VBVA)? 2. If a = 30 cm, b = 20 cm, q = + 2.0 nC and Q = - 3.0 nC in the figure, what is the potential difference (VA-VB)? Problem15 A uniform electric field of magnitude 325 V/m is directed in the negative y direction in the Figure. The coordinates of point A are (–0.200, –0.300) m, and those of point B are (0.400, 0.500) m. Calculate the potential difference VB – VA, using the shown path. Problem16 Given two 2.00-μC charges, as shown in the Figure, What is the electrical potential at the origin due to the two 2.00-μC charges? 5|Page Physics II Problem17 Problem18 6|Page Sheet#3 Samer Zyoud Physics II Sheet#4 Samer Zyoud Problem1 Four capacitors are connected as shown in the Figure below. (a) Find the equivalent capacitance of the network. (b) Calculate the charge on each capacitor and the voltage across each capacitor if a DC battery of 15.0 V is applied at point a. (c) Calculate the energy stored in each capacitor. Problem2 Two capacitors C1 and C2 (where C1 > C2) are charged to the same potential difference V. The charged capacitors are removed from the battery and their plates are connected with opposite polarity, i.e., the positive plate of C1 is connected to the negative plate of C2 and vice versa. Determine, (a) The voltage, charge and the energy in each capacitor before they are connected to each other. (b) The voltage, charge and the energy in each capacitor after they are connected to each other. Given, C1 = 30µF, C2 = 20 µF, and V = 12Volts 1|Page Physics II Samer Zyoud Sheet#4 Problem3 In the circuit below, C1 = 15 µF, C2 = 10 µF, C3 = 20 µF, and V0 = 18 V. Determine a) The equivalent capacitance. b) The charge stored on C2. c) The energy stored in C3. Problem4 Problem5 A parallel-plate capacitor has plates of area A = 0.12m2 each and a separation d = 1.2 cm. A battery charges the plates to a potential difference of 120 V and then disconnected. A dielectric slab of thickness of 4 mm and dielectric constant K = 4 is then placed symmetrically between the plates. a) What is the capacitance C of the capacitor before and after the slab is inserted? b) What is the charge q on the capacitor before and after the slab is inserted? c) With the slab in place the plates, what is the potential difference across the plates? air 120V 1.2cm K air before 2|Page after Physics II Sheet#4 Samer Zyoud Problem6 A parallel plate capacitor of capacitance Co has plates area A with separation d between them. When it is connected to a battery of voltage Vo it has charge of magnitude Qo on its plates. The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery. After the plates are 2d apart, find the a. a. magnitude of the charge on the plates and b. the potential difference between them. Problem7 A parallel plate capacitor of capacitance Co has plates area A with separation d between them. When it is connected to a battery of voltage Vo it has charge of magnitude Qo on its plates. While it is connected to the battery the space between the plates is filled with a material of dielectric constant 3. After the dielectric is added, find c. the magnitude of the charge on the plates and d. the potential difference between them. Problem8 Consider the circuit shown in the Figure, where C1 = 6.00 μF, C2 = 3.00 μF, and ΔV = 20.0 V. Capacitor C1 is first charged by the closing of switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by the closing of S2. Calculate the initial charge acquired by C1 and the final charge on each capacitor. Problem9 3|Page ...
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Tutor went the extra mile to help me with this essay. Citations were a bit shaky but I appreciated how well he handled APA styles and how ok he was to change them even though I didnt specify. Got a B+ which is believable and acceptable.

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