Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which charge is continuously deposited by a moving belt. Charge can be added until the electric field at the surface of the dome becomes equal to the dielectric strength of air. Any more charge leaks off in sparks as shown in the figure below. Assume the dome has a diameter of 40.0 cm and is surrounded by dry air with a "breakdown" electric field of 3.00 x 106 V/m. (a) What is the maximum potential of the dome? kV (b) What is the maximum charge on the dome?
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- A simple and common technique for accelerating electrons is shown in the figure below, where a uniform electric field is created between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to continue moving. O (a) Calculate the acceleration of the electron if the field strength is 7.96 x 10¹ N/C. m/s² (b) Why will the electron not be pulled back to the positive plate once it moves through the hole? O The force of gravity is too strong. The other side of the positive plate also has a negative charge. There is no field outside the plates.A uniform electric field 3.41E3 N/C is applied in a cubic box with each side being 2.23 m long. What is the energy stored by the electric field in the box (in J)?You have built a device that measures the temperature outside and displays it on a dial as a measure of how far away from room temperature outside is. The way the dial works is that a needle with a charged ball on the end is placed between two charged parallel plates. The strength of the uniform electric field between the plates is proportional to the outside temperature. Given that the charged ball on the needle has a charge of −2.4 µC and the needle can be represented as a string with tension 0.350 N, and is at an angle of 22°, consider the following. What is the mass of the object? gWhat is the magnitude of the electric field? N/C
- A parallel plate capacitor with a charge of +/-177nC has square plates length L=20.0cm across on each side. The plates are separated by a distance d=10.0cm. A positive +4.0microC point charge is held in place halfway between each plate on the right-most edge of the capacitor. While solving this problem ignore any distortion of the capacitor's electric field along its edges. A) What is the magnitude and direction of the capacitor's electric field at point P, which is midway between the plates and on the left-most edge of the capacitor B) What is the magnitude and direction of the electric field due to the +4.0 microC point charge at point P. C) What is the magnitude and direction of the net electric field at point PTwo parallel, flat, conducting plates with equal but opposite charges are separated by a uniform layer of insulating material with a dielectric constant of 7.1 and a thickness of 1.7mmmm. The electric field in the dielectric material is 2.22MV/mMV/m. What is the magnitude, in microcoulombs per squared meter, of the surface charge density on the conducting plates? What is the magnitude, in microcoulombs per squared meter, of the surface charge density on the conducting plates?A simple and common technique for accelerating electrons is shown in the figure below, where a uniform electric field is created between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to continue moving. (a) Calculate the acceleration of the electron if the field strength is 3.45 x 104 N/C. m/s² (b) Why will the electron not be pulled back to the positive plate once it moves through the hole? O The force of gravity is too strong. O There is no field outside the plates. O The other side of the positive plate also has a negative charge.
- parallel-plate capacitors are widely used in electronics such as preventing direct current leakage. An electric field is generated between a pair of plates that has a surface charge density of 7.70 x 10^-6 C/m^2 The plates are seperated by 0.49 um. a) what is the magnitude of the electric field between the plates ? b) suppose the thickness of the plates doubled, would my answer increase, decrease, or remain the same?Problem 12: A simple and common technique for accelerating electrons is shown in the figure, which depicts a uniform electric field between two plates. Electrons are released, usually from a hot filament, near the negative plate, and there is a small hole in the positive plate that allows the electrons to pass through. E = 2.4 × 104 N/C Calculate the horizontal component of the electron's acceleration if the field strength is 2.4 × 104 N/C. Express your answer in meters per second squared, and assume the electric field is pointing in the negative x-direction as shown in the figure.One kind of e-book display consists of millions of very small spheres that float in a thin fluid layer between two conducting, transparent plates. Each sphere is black on one side and white on the other, and possesses an electric dipole moment directed from the white side to the black. When an electric field is applied between the plates, the spheres rotate so that theirdipole moment lines up with the field. Depending on the field’s direction, either the black or the white sides of the spheres can be made visible. The dipole moment of the spheres can be modeled as two opposite charges of magnitude 3.5 × 10-15 C, separated by a distance of 100 mm. What is the maximum possible torque on a sphere if the electric field between the transparent plates is 4.0 × 105 N/C?