a) What is the electrical potential, in units of Volt, in the rod at x=L/2 ? b) What is the electric-field magnitude E, in units of V/m, in the rod at x=L/2?
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a) What is the electrical potential, in units of Volt, in the rod at x=L/2 ?
b) What is the electric-field magnitude E, in units of V/m, in the rod at x=L/2?


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- The electric field in a region of space has the components Ey = Ez = 0 and Ex = (4.00 N/C · m) x. Point A is on the y axis at y = 3.60 m, and Point B is on the x axis at x = 4.40 m. What is the potential difference between VB − and VA?To see why, compute the force of Earth’s gravity on an electron and compare it with the force exerted on the electron by an electric field of magnitude 14000 V/m (a relatively small field). Express your answer to two significant figures and include the appropriate units.A shark is able to detect the presence of electric fields as small as 1.70 μV/m. To get an idea of the magnitude of this field, suppose you have a parallel plate capacitor connected to a 2.00-V battery. How far apart must the parallel plates be to have an electric field of 1.70 μV/m between the plates? need answer in km
- The potential difference across a cell membrane is −68.0 mV. If the membrane’s thickness is 16.6 nm, what is the magnitude of the electric field in the membrane? Assume the field is uniform.A capacitor is composed of two metal plates. The two plates have the dimensions L = 0.11 m and W = 0.56 m. The plates have a distance between them of d = 0.1 m, and are parallel to each other. Part (a) The plates are connected to a battery and charged such that the first plate has a charge of q. Write an expression for the magnitude of the electric field, |E|, halfway between the plates. Part (b) Input an expression for the magnitude of the electric field, |E2|, just in front of plate two. Part (c) If plate two has a total charge of q = -1 mC, what is its charge density, σ, in C/m2?Cathode ray tubes (CRTs) used in old-style televisions have been replaced by modern LCD and LED screens. Part of the CRT included a set of accelerating plates separated by a distance of about 1.54 cm. If the potential difference across the plates was 28.5 kV, find the magnitude of the electric field (in V/m) in the region between the plates.
- A charged conducting sphere with capacitance, C = 26.7 pF, produces an electric field that points radially outward. At a distance, d = 61.2 cm, from the center of the sphere, the strength of the electric field is E = 71.3 kV/m. (a) What is the radius of the charged sphere? R = m (b) Find the sphere's surface charge density. μC/m² J =Two large (treat as infinite) parallel conducting plates are charged to t Q as shown by the battery. A proton is released from rest at point A and is measured to be moving with a speed v, = 2 x 105 m/s when at point B. The right plate is then moved closer to the left as shown in the %3D X X rightmost figure. The experiment is repeated. What will be the speed of the proton at point B? A) Greater B) Smaller C) Equal D) Impossible to determineMY N An electron is to be accelerated in a uniform electric field having a strength of 1.90 x 106 v/m. (a) What energy in kev is given to the electron if it is accelerated through 0.790 m? kev (b) Over what distance would it have to be accelerated to increase its energy by 50.0 GeV (as in the Stanford Linear Accelerator, which is actually smaller than this)? km Additional Materials
- Cathode ray tubes (CRTs) used in old-style televisions have been replaced by modern LCD and LED screens. Part of the CRT included a set of accelerating plates separated by a distance of about 1.36 cm. If the potential difference across the plates was 27.0 kV, find the magnitude of the electric field (in V/m) in the region between the plates.Cathode ray tubes (CRTS) used in old-style televisions have been replaced by modern LCD and LED screens. Part of the CRT included a set of accelerating plates separated by a distance of about 1.38 cm. If the potential difference across the plates was 24.0 kV, find the magnitude of the electric field (in V/m) in the region between the plates. HINT V/m33. ssm The inner and outer surfaces of a cell membrane carry a negative and a positive charge, respectively. Because of these charges, a potential difference of about 0.070 V exists across the membrane. The thickness of the cell membrane is 8.0 × 10-⁹ m. What is the magni- tude of the electric field in the membrane?