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# Electric & Magnetic Fields

### Magnetic Fields Due to Currents

Rank the Loops. See attached file for full problem description.

### Electrostatic Charges & Fields

Problem 13 :- In figure 21-26 in attached file 3 particle 1 of charge +1.0 uC and particle 2 of charge -3.0 uC are held at separation L = 10.0cm on an x axis. If particle 3 of unknown charge (q3) is to be located such that the net electrostatic force on it from particles1 and 2 is zero. What must be the (a)x axis and (b) y

### The Direction of Force Between Current Carrying Conductors

The following figures (attached) show parallel cables and the orientation of their currents. Indicate the direction of the force that each cable has and the orientation of the magnetic fields.

### Stoke's Vector Problem: Polarized Light

A light beam has a Stoke's vector of S = (1, 0.4, 0.2, 0). What is the Degree of Polarization? Would you characterize the light as linearly polarized or circularly polarized? What angle does the resultant electric field make with the horizontal axis?

### Magnetic field due to two current carrying concentric loops

Two concentric circular loops each have currents of 2.5 x 10^-3 amperes with radii of 10 cm and 4 cm. The currents travel in opposite directions for each loop. How would you calculate and draw the magnetic field at the common center, and in what direction would the field be pointing in?

### Current in a solenoid

What current is required in the windings of a long solenoid that has 1,000 turns uniformly distributed over a length of 0.400 m in order to produce a magnetic field of magnitude 1.00 x 10^-4 Tesla at the center of the solenoid?

### Average current that flows through the coil during this time?

A circular coil enclosing an area of 100 cm^2 is made of 200 turns of copper wire. The wire making up the coil has a resistance of 5.0 ohms, and the ends of the wire are connected to form a closed loop. Initially, a 1.1 Tesla uniform magnetic field points perpendicularly upward through the plane of the coil. The direction of t

### What Are the Values of the Distance l and the Charge q?

Two charges, each with a value of +q are separated by a distance of l m. The resultant electric field and the potential measured at a point P a distance l/3 m from the left charge, are, 10 N/C and 2 V, respectively. What are the values of the distance l and the charge q?

### Protons Projected into Uniform Electric Field

A proton is projected in the positive x-direction into a region of uniform electric field, E = -6.0 x 10^5 i N/C at t = 0. The proton travels 7.0 cm as it comes to rest. Determine (a) the acceleration of the proton, (b) its initial speed, and (c) the time interval over which the proton comes to rest.

### Electric field due to a charged disc

A uniformly charged disk of radius 35.0 cm carries charge with a density of 7.90 x 10^-3 C/m^2. Calculate the electric field on the axis of the disk at (a) 5.0 cm, (b) 10.0 cm, (c) 50 cm and (d) 200 cm from the center of the disk.

### Magnitude and Direction - Electrons and Protons

What are the magnitude and direction of the electric field that balances the weight of an (a) electron and (b) a proton?

### Deflection of electrons passing through magnetic field

In a television set, electrons are accelerated from rest through a potential difference of 19 kV. The electrons then pass through a 0.28 Tesla magnetic field that deflects them to the appropriate spot on the screen. What is the magnitude of the maximum magnetic force that an electron can experience?

### Magnetic force between two current carrying conductors.

Two rigid rods are oriented parallel to each other and to the ground. The rods carry the same current in the same direction. The length of each rod is 0.85 m, while the mass of each is 0.073 kg. One rod is held in place above the ground, and the other floats beneath it at a distance of 8.2 x 10^-3 m. What is the current in the r

### the angle between the wire and the magnetic field

A wire of length 0.655 m carries a current of 21.0 A. In the presence of a 0.470 T magnetic field, the wire experiences a force of 5.46 N. What is the angle (less than 90 degrees) between the wire and the magnetic field?

### Source of Magnetic Field

A tightly wound solenoid 20 cm long has 400 turns and carries a current of 4A so that its axial field is in the z direction. Neglecting end effects, find B and Bsubapp at the center when (a) there is no core in the solenoid and (b) there is an iron core with a magnetization M=1.2 x 10 ^6A/m.

### Source of Magnetic Fields

A very long coaxial cable consists of an inner wire and a concentric outer cylindrical conducting shell of radius R. At one end, the wire is connected to the shell. At the other end, the wire and shell are connected to opposite terminals of the battery, so there is s current down the wire and back up the shell. Assume that the c

### Source of Magnetic Field.

A solenoid with length 30 cm, radius 1.2 cm, and 300 turns carries a current of 2.6 A. Find B on the axis of the solenoid (a) at the center, (b) inside the solenoid at a point 10 cm from one end, and (c) at one end,

### Source of the Magnetic Field

A single-turn circular loop of radius 3 cm carries a current of 2.6 A. what is the magnitude of B on the axis of the loop at (a) the center of the loop, (b) 1 cm from the center, (c) 2 cm from the center, and (d) 35 cm from the center?

### Force on charge due to magnetic fields of various orientations.

A charge q = -3.64 n moves with a velocity of 2.75 x 10^6m/s i^ (i hat). Find the force on the charge if the magnetic field is (a) B = - 0.38 T j (b) B = 0.75 T I + 0.75 T j (c) B = 0.65T I (d) B = 0.75 T I + 0.75 T k.

### Determining the change in potential energy of a proton

A uniform electric field, with a magnitude of 600 N/C, is directed parallel to the positive x-axis. If the potential at x=3.0 m is 1000 V, what is the change in potential energy of a proton as it moves from x=3.0 m to x=1.0 m? (qp= 1.6 x 10^-19C)? Vb-Va= -E(Sf-So)

### Distance covered by electron in electric field.

An electron with a speed of 2.0 x 10^6 m/s moves into a uniform electric field of 500 N/C that is parallel to the electron's motion. How far does the electron move before coming to rest? (me= 9.11 x 10^-31 kg, e= 1.6 x 10 -19 C). (Change in Kinetic Energy = change in Electrical Potential Energy)

### Electric Field and Stored Energy of Parallel-Plate Capacitor

A parallel-plate capacitor with plate area of 2 m^2 and a separation of 1.0 mm is charged to 100 V. (a) What is the electric field between the plates? (b) what is the energy per unit volume in the space between the plates? (c) find the total energy by multiplying your answer from part (b) by the total volume between the

### Electric field lines & equipotential lines

Draw a picture of the electric field lines generated by a collection of two positive charges, both of charge q = 1. Center one at (1,0) and the other rat (-1,0). What happens to the electric field at the origin? (the point 0,0) Draw a few equipotential lines. Remember, these are the curves that circle the charge distribut

### Surface force on electrically charged balloon

A balloon made of light conducting material could be kept approximately spherical by connecting it to a high voltage supply. The balloon has radius 0.05 m, and the dielectric breakdown field to produce spark in air is E_b = 3?10^6 V/m a) What is the maximum permissible voltage? b) What gas pressure, in atmospheres, insi

### Equipotential Surfaces Constant Values

The electric field has a constant value of 4.0 x 10^3 V/m and is directed downward. The field is the same everywhere. The potential at a point P within this region is 155 V. What is the potential at a point (a.) 6.0 x 10^-3 m directly above P, (b.)3.0 x 10^-3 m directly below P, and (c) 8.0 . 10 ^-3 m directly to the right of

### Solve: Electric Potential Difference

Question: Two protons are moving directly towards one another. When they are very far apart, their initial speeds are 3.00 x 10^6 m/s. What is the distance of closest approach?

### Energy in the Field of an Electric Dipole

Show that the energy in the field of an electric dipole of moment p outside a sphere of radius R is p^2/(12*pi*epsilon nod*R^3).

### Diagrams of Electric Fields

Draw electric field lines for a quadrupole formed of charges +Q, -Q, +Q, -Q at the corners of a square. Charges on a diagonal have the same sign. (On a field line, dy/dx = Ey/Ex)

### Determining velocity of a proton accelerated by an electric field.

A proton is accelerated from rest by an electric field. The electric field starting point's potential is zero but the ending point electrostatic potential is -5,000 volts. I need to determine how to find the velocity of the proton at the ending point of 9.78 x 10^5 meters/second.

### Four charges placed at the corners of a square

Find the magnitude of the electric field at point d. (Data: q= 0.750 mC, L= 0.40 m)