A common viscous fluid used in physics labs is glycerol, which has a viscosity of 1.412 Pa s. What is the ratio of the terminal velocity of a 2 μm-diameter silica sphere with a surface charge of 1.5 fC placed in an electrophoresis cell filled with glycerol to that of one filled with water? The distance between the electrodes is 1.5 cm and the cell potential is 9V.
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- In the figure ε = 10.4 V, R₁ = 1690 N, R₂ = 3080 N, and R3 = 4780 2. What are the potential differences (in V) (a) VA - VB, (b) VB - VC, (c) Vc-VD, and (d) VA-VC? (a) Number i (b) Number i (c) Number (d) Number i Units V Units R₂ 3 R₂ R₁ Units V Units V V D + + +Nerve cells in your body can be electrically stimulated; a large enough change in a membrane potential triggers a nerve impulse. Certain plants work the same way. A touch to mimosa pudica, the “sensitive plant,” causes the leaflets to fold inward and droop. We can trigger this response electrically as well. In one experiment, investigators placed electrodes on the thick tissue at the base of a leaf. The electrodes were 3.5 mm apart. When the electrodes were connected to a 47 μF capacitor charged to 1.5 V, this stimulated a response from the plant.a. Eventually, all the charge on the capacitor was transferred to the plant. How much charge was transferred?b. What was the approximate electric field between the electrodes?In a linear particle accelerator electrons are accelerated from rest to a speed of approximately the speed of light (3 x 108 m/s). If point A is the initial position of the electrons in the machine and point B is the position at which they reach their final speed, what is the electrical potential difference VA - VB in MV?
- Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m²/C2. Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m, = 9.10938356 x 1031 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. R point charges q, to q, distributed along a semi-circle maintaining equal distance. The charge g, is at the center of the circle. The Suppose you have radius of the semi-circle is R = 28 cm and the magnitude of the charges are as follows : = 4 = 24 µC, 92 = 4 = 29 µC and q3 = 6 = -27 µC. a) Find the vector that points from q, to 96 and call it r1,6 I component of the vector Give your answer to at least three significance digits. m y component of the vector Give your answer to at least three significance digits. mThe electrical potential over a certain region of space is given by V = 4x 4xy + yz2. Find expressions for the x, y, and z components of the electric field in this region. What is the magnitude of the electric field (in units of Volts/meter) at point P, whose coordinates are given as (1, 0, -2) in units of meters? A S2 b) V53 c) v193 d) 4 e) V333On a square wireframe with side length a in empty space, there is a linear charge density ρl. Calculate the value of the potential V = ke · ρl · A [Volt] at the height h = 2 · a on the strut exiting the center of this square frame. Find the numerical value of the value of A?
- A potential difference exists between the inner and outer surfaces of the membrane of a cell. The inner surface is negative relative to the outer surface. If 1.35 × 10-20 J of work is required to eject a positive sodium ion (Na+) from the interior of the cell, what is the magnitude of the potential difference between the inner and outer surfaces of the cell? magnitude of the potential difference:A 55.0-m length of coaxial cable has an inner conductor that has a diameter of 2.58 mm and carries a charge of 8.10 µC. The surrounding conductor has an inner diameter of 7.27 mm and a charge of -8.10 µC. Assume the region between the conductors is air. (a) What is the capacitance of this cable? C = nF (b) What is the potential difference between the two conductors? AV = kVA potential difference of 75 mV exists between the inner and outer surfaces of a cell membrane. The inner surface is negative relative to the outer surface. How much work is required to eject a positive sodium ion (Na+) from the interior of the cell?
- A 45.0-m length of coaxial cable has an inner conductor that has a diameter of 2.58 mm and carries a charge of 8.10 μC. The surrounding conductor has an inner diameter of 7.27 mm and a charge of -8.10 μC. Assume the region between the conductors is air. (a) What is the capacitance of this cable? C= nF (b) What is the potential difference between the two conductors? AV= KVThe electric potential difference AV, also called voltage, is expressed in terms of the electric field as follows AV = Edr where, a is the initial position and b is the final position. If an electric field in a region in space is defined as E= - 2Br? where B is just a constant without an arbitrary value. What is the electric potential difference from position 0 to R?In the figure ɛ = 14.5 V, R1 = 2050 N, R2 = 2980 Q, and R3 = 3320 Q. What are the potential differences (in V) (a) VA - VB, (b) VB- Vc. (c) Vc- VD, and (d) VA-Vc? R *R2 (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units