Two very large charged parallel metal plates are 15.0 cm apart and produce a uniform electric fiold of 3.40-10 N/C between them. A proton is fired perpendicular to these plates with an initial speed 5.20 km/s, starting at the middle of the negative plate and going toward the positive plate.

An alpha particle (a helium nucleus) is traveling along the positive x-axis at 1200 m/s when it enters a cylindrical tube of radius 0.400 cm centered on the x-axis. Inside the tube is a uniform electric field of 5.50  10-4 N/C pointing in the negative y-direction. How far does the particle travel before hitting the tube wall? Neglect any gravitational forces. Note: m? = 6.64  10-27 kg; q? = 2e. m

Two horizontal parallel plates are separated by a distance of 174 mm creating an electric field of 23 μN/C directed north. An electron is place halfway between the two plates with and fired with initial velocity 58 m/s from the horizontal. Calculate the time it takes for the electron to land at the positive plate and its speed before hitting the plate. Provide an Illustration and answer in GRESA format.

The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. Assumne that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.1x 10-6 C/m2.(a) What is the magnitude of the electric field within the cell membrane? (b) Find the magnitude of the electric force that would be exerted on a potassium ion (K*; charge = +e) placed inside the membrane. (a) Number Units (b) Number Units

An alpha particle (a helium nucleus) is traveling along the positive x-axis at 1075 m/s when it enters a cylindrical tube of radius 0.800 cm centered on the x-axis. Inside the tube is a uniform electric field of 3.00  10-4 N/C pointing in the negative y-direction. How far does the particle travel before hitting the tube wall? Neglect any gravitational forces. Note: m? = 6.64  10-27 kg; q? = 2e. m

An isolated charged conducting sphere has a radius R = 13.0 cm. At a distance of r = 24.0 cm from the center of the sphere the electric field due to the sphere has a magnitude of E = 4.90 × 104 N/C. (a) What is its surface charge density (in µC/m²)? μC/m² (b) What is its capacitance (in pF)? pF (c) What If? A larger sphere of radius 26.0 cm is now added so as to be concentric with the first sphere. What is the capacitance (in pF) of the two-sphere system? pF

Two parallel plates carry charge of equal magnitude but opposite sign, and are separated by a distance of d = 16.0 cm. Each plate has a uniform surface charge density of ± ? = 40.0 nC/m2. (Please enter all answers using at least four significant figures.) (b.) If a proton ( q = e = 1.602 ✕ 10-19 C; mp = 1.673 ✕ 10-27 kg) is released from rest at the positive plate, what potential difference does it move through in reaching the negative plate? Delta V = -722.84 Speed of proton = 372388.30 m/s (e.) Determine the magnitude of the acceleration of the proton. Recall: vxf2 = vxi2 + 2ax(xf - xi) (f.) Using its acceleration, determine the magnitude of the force on the proton. (g.) From the force on the proton, find the magnitude of the electric field.

A positively charged particle of mass 50 grams and charge 10 µC is released from rest at the origin in the uniform electric field of 100 N/C  directed along the +X-axis. Determine its speed at x = 10 cm position.

A small drop of water is suspended motionless in air by a uniform electric field that is directed upward and has a magnitude of 7420 N/C. The mass of the water drop is 4.78 × 10-9 kg. How many excess electrons or protons reside on the drop

A spherical shell of an inner radius 20.0 cm and outer radius 25.0 cm has a charge with a uniform density of 24.62 nC/m3. A proton moves in a circular orbit outside the spherical shell at a distance of 49 cm from the centre of the shell. Calculate the speed (m/s) of the proton. Round off the answer to 2 decimal places.