1. The magnitude of an electric field became 3.0 x 106 N/C or greater, so thatelectrical breakdown and thus sparking could occur.2. The energy of a spark was 150 mJ or greater so that it could ignite the powderexplosively.Let us check for the first condition in the powder flow through the plastic pipes.Suppose a stream of negatively charged powder was blown through a cylindrical pipe ofradius R = 5.0 cm. Assume that the powder and its charge were spread uniformlythrough the pipe with a volume charge density p.a. Using Gauss' law, find an expression for the magnitude of the electric field E inthe pipe as a function of radial distance r from the pipe center.b. Does E increase or decrease with increasing r?c. Is E directed radially inward or outward?d. For p = 1.1 x 10³ C/m³ (a typical value at the factory), find the maximum E anddetermine where that maximum field occurs.e. Could sparking occur, and if so, where?From the answer to part (a) of the problem,f. Find an expression for the electric potential as a function of the radial distance rfrom the center of the pipe. (The electric potential is zero on the grounded pipewall.)g. For the typical volume charge density p = -1.1 x 103 C/m³, what is the differencein the electric potential between the pipe's center and its inside wall?

a) b) Hence, magnitude of E increases with increase in r.

Answered: y of a spar 1. he first com m of negati…

Science

Physics

y of a spar 1. he first com m of negati n. Assume with a volu

Inquiry into Physics

8th Edition

ISBN:9781337515863

Author:Ostdiek

Publisher:Ostdiek

Chapter7: Electricity

Section: Chapter Questions

Problem 1MA: What does the term fibrillation mean in connection with heart function? Give two important causes of...

See similar textbooks

Similar questions

What does the term fibrillation mean in connection with heart function? Give two important causes of heart fibrillation in human beings. How do pacemakers and defibrillators help to prolong life for patients suffering from this condition?
1. How does the Electrostatic Discharge occur in the following situations? Explain with suitable mathematical substantiations. a. Insulator surfaces are rubbing together. b. Insulator surfaces are pulling apart.
1. Adjust the voltage to 0.05x V and adjust the plate area to 10y mm² and the separation distance to 0.2z mm. What is the magnitude of the charge (in Coulombs) stored in each plates for x= −27, y= 21, and z= 39? 2. Adjust the voltage to 0.05x V and adjust the plate area to 10y mm² and the separation distance to 0.2z mm. What is the magnitude of the Potential Energy in Joules in capacitor for x= -8 and y= 10? 3. Adjust the voltage to 0.05x V and adjust the plate area to 10y mm² and the separation distance to 0.2z mm. What is the magnitude of the charge stored in each plates for x= −25 and y= 14?
1) Consider the figure below. An electron is fired towards a conducting plate from a distance L. The plate has a surface charge density a and a radius that is much greater than the distance L.. When the electron strikes the plate, it is measured that AK. E. 10 eV, where AK. E. Ty-To is the difference between the electron's final kinetic energy and initial kinetic energy. = a) Draw a diagram of the configuration including the co-ordinate system you have chosen. b) Write the integral equation for the work done on the electron when moving from it's initial position to an arbitrary final position, x . c) Write the integral equation for the potential difference of the system for a path that begins at the electron's initial position and ends at an arbitrary position, x. d) Determine the equation for the potential difference between the initial position of the electron and an arbitrary position, x. e) Plot the potential difference from part d) f) If the electron is initially at rest and L=…
1. Ernest Rutherford's gold foil experiment led to the discovery of the atomic nucleus. In the experiment, alpha particles were fired at a thin gold foil. Suppose that an alpha particle (charge +2e, mass 6.64 x 10-27 kg) is fired at a gold nucleus (charge +79e) with a kinetic energy of 5.0 MeV. a. Convert the kinetic energy of the alpha particle to joules. b. In order for the alpha particle to be deflected, it must experience an electrostatic repulsion from the gold nucleus that does work to remove it's kinetic energy and change its direction. Determine the distance at which this occurs. (hint- use conservation of energy) C. The radius of a gold atom is 166pm. Does the alpha particle have be "inside" the atom to be deflected?
1) Consider the figure below. An electron is fired towards a conducting plate from a distance L. The plate has a surface charge density and a radius that is much greater than the distance L. When the electron strikes the plate, it is measured that AK. E. = 10 eV, where AK.E.= Tf - To is the difference between the electron's final kinetic energy and initial kinetic energy. Using a co- ordinate system with the origin placed at the initial position of the electron: a) Draw a diagram of the configuration including the co-ordinate system you have chosen b) Write the integral equation for the work done on the electron when moving from it's initial position to an arbitrary final position, x c) Write the integral equation for the potential difference of the system for a path that begins at the electron's initial position and ends at an arbitrary position, x. d) Determine the equation for the potential difference between the initial position of the electron and an arbitrary position, x. e) Plot…
1. Two charges, Q₁ = 35 pC, Q₂ = -22 nC located along the x-axis and Q = -18 mC along y-axis. The distance of Q3 from Q₁ is 0.85 fm and from Q₂ which is 0.35 nm. Calculate is the net force on Q₁. 2. If the resistance required is 71 k and the power rating is 1.1W, calculate the length of aluminum wire and the voltage source needed. Given that the radius of the wire is 11 cm and that the resistivity p of aluminum is 2.65 x 10* Q .m.
An astronaut is in an all-metal chamber outside the space station when a solar storm results in the deposit of a large positive charge on the station. Which statement is correct? a. The astronaut does not need to worry: the charge will remain on the outside surface. b. The astronaut will be safe only if she is wearing a spacesuit made of non-conducting materials. c. The astronaut must leave the chamber immediately to avoid being electrified. d. The astronaut must leave the chamber if the electric field on the outside surface becomes greater than the breakdown field of air. e. The astronaut must leave the chamber immediately because the electric field inside the chamber is non- uniform.
2. A rubber balloon is rubbed on a wool sweater. In the process, electrons are transferred from the wool sweater to the rubber balloon. This means that the a. rubber balloon has the greater affinity for electrons b. wool sweater has the greater affinity for electrons C. rubber balloon is the conductor and the wool sweater is the insulator d. rubber balloon is the insulator and the wool sweater is the conductor Explain:
Use the following constants if necessary. Coulomb constant, k of the Charge of one electron, e symbol carries their usual meaning. For example, µC means micro coulomb . -8.987 x 10° N . m? /C?. Vacuum permitivity, eg = 8.854 x 10 12 F/m. Magnitude 9.10938356 x 10 31 kg. Unless specified otherwise, each 1.60217662 x 10-19 C. Mass of one electron, m. R Suppose you have 5 point charges q to gs distributed along a semi-circie maintaining equal distance. The charge gs is at the center of the circle. The radius of the semi-circle is R = 28 cm and the magnitude of the charges are as follows : 9 24 µC, 92 = q4 29 µC and qs = q 27 µC. f) Calculate the coulomb force on go due to qa in unit vector notation and call it F46- z component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. N g) Calculate the Net Electric force on g6 due to all other charges. z component of the force Give your answer to…
4. At the metallurgical layer in a particular pn junction, the magnitude of the electric field is { = 4.76 x 10ª V/cm. What is the magnitude of the electric force on an electron at this position in the junction? What is the direction of the force, relative to the electric field?
4. Two parallel conducting plates are separated by 3 mm and the space between them is filled with a dielectric of dielectric constant 6. The electric field intensity inside the dielectric is 2 × 106 volts/m. Calculate the free charge per unit area on the conducting plates. 5. 5. Estimate the shift of the electron cloud with respect to the nucleus in argon atom when a field of 10° V/m is applied. (Polarisability of argon is 1.8 × 10-40 Fm²). 6. (a) Discuss briefly about the various types of polarization mechanisms seen in a dielectric matērials orizotion