a. a. What is the electric field 0.01 m away from the plate? How much work is required to move a-1 μC charge from 0.01 to 0.02 m
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a.
A plate has a charge of 4 µC and a surface area of 0.3 m².
0.02 m -
+
0.01 m
+
+
Q1 = -1 μC
+
G₁=3F
+
+
+
+
What is the electric field 0.01 m away from the plate?
a. How much work is required to move a-1 μC charge from 0.01 to 0.02 m²
Q = +4 μC
A=0.3 m²
Given the following configuration of capacitors
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- Two large aluminum plates are separated by a distance of 2.0 cm and are held at a potential difference of 195 V. An electron enters the region between them at a speed of 3.2 × 105 m/s by passing through a small hole in the negative plate and continues moving toward the positive plate. Assume the electric field between the plates is uniform. 1. What is the electron’s speed, in meters per second, when it is 0.1 cm from the negative plate? 2. What is the electron’s speed, in meters per second, when it is 0.5 cm from the negative plate? 3. What is the electron’s speed, in meters per second, when it is 1.0 cm from the negative plate? 4. What is the electron’s speed, in meters per second, when it is 1.5 cm from the negative plate? 5. What is the electron’s speed immediately before it strikes the positive plate?Part A The voltage across a 4 μF capacitor increases by 48 V. If the final charge on the capacitor is 507 μC, determine the initial charge. Q₁ = Part B Two parallel plates each have a charge magnitude of 601 nC. Between the plates is a dielectric with K = 86. Additionally, the E-field between the plates is 7.81x105 V/m. Determine the area of each plate. A= Part C A capacitor with no dielectric has an E-field of 88 kV/mm between the plates. The area of each plate is 46.3 cm² and the voltage across the capacitor is 1.5 V. Determine the capacitance. C=A parallel-plate capacitor is constructed of two square plates, size L × L, separated by distance d. The plates are given charge ±Q. Let’s consider how the electric field changes if one of these variables is changed while the others are held constant. What is the ratio Ef/Ei of the final electric field strength Ef to the initial electric field strength Ei if:a. Q is doubled?b. L is doubled?c. d is doubled?
- a. Review the method of calculating the electrostatic potential for a conducting sphere. Now since the whole conductor is an equipotential surface, lind the ratio of charge on sphere I to the charge on sphere 2: Q1/Q2. b. Find the ratio of surface charge density on sphere 1 to sphere 2: 01/02. c. Find the ratio of electric field strength on sphere 1 to sphere 2: E1/E2.10 nC B. A -5 nC How much work must you do to move an electron from A to B? The rectangle is 14.6 cm high and 24.8 cm wide. Remember that negative work means that we can get work out of the process. In 1911, Ernest Rutherford and his assistants Geiger and Marsden conducted an experiment in which they scattered alpha particles (nuclei of helium atoms) from thin sheets of gold. An alpha particle, having charge +2e and mass 6.64 x 10-27 kg, is a product of certain radioactive decays. The results of the experiment led Rutherford to the idea that most of an atom's mass is in a very small nucleus, with electrons in orbit around it. Assume an alpha particle, initially very far from a stationary gold nucleus, is fired with a velocity of 2.98 × 107 m/s directly toward the nucleus (charge +79e). What is the smallest distance between the alpha particle and the nucleus before the alpha particle reverses direction? Assume the gold nucleus remains stationary. fmc-e