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Electric Field Key Concepts
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Terms in this set (6)
what is an electric field
a unit of space that exerts a force on any electrically charged particle in that space
E = F/q
what is the force on any point particle in a given electric field?
F = qE
units for electric field
N/C
E = kQ/r^2
whats the difference if Q is magnitude or if Q is signed
if Q is a magnitude then we are getting the magnitue of the electric field, if Q is signed we are getting a scalar component along the radius from the source
positive electric field vs negative electric fields
-positive electric fields point outwards, negative electric fields point inwards
vector notation for electric field
E = kQ/r^2 (r hat)
r is the distance betweens source and field point
r hat always points from the source to the field point/test charge
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Verified questions
chemistry
(a) Use the following data to calculate the combined heat of hydration for the ions in sodium acetate $\left(\mathrm{NaC}_2 \mathrm{H}_3 \mathrm{O}_2\right)$ : $$ \Delta H_{\text {lattice }}=763 \mathrm{~kJ} / \mathrm{mol} \quad \Delta H_{\text {soln }}=17.3 \mathrm{~kJ} / \mathrm{mol} $$
chemistry
A cell was used to measure the resistance R of a series of solutions. The cell has been calibrated against a standard solution and as a result the conductivity of the solution is given by $\kappa=C / R,$ where $C=0.2063\ \mathrm{cm}^{-1} .$ The following values of R were found: $$ \begin{matrix} \text{$c/\left(\mathrm{mol}\ \mathrm{dm}^{-3}\right)$} & \text{0.00050} & \text{0.0010} & \text{0.0050} & \text{0.010} & \text{0.020} & \text{0.050}\\ \text{$R / \Omega$} & \text{3314} & \text{1669} & \text{342.1} & \text{174.1} & \text{89.08} & \text{37.14}\\ \end{matrix} $$ (a) Verify that the molar conductivity follows the Kohlrausch law, find the limiting molar conductivity and the coefficient $\mathcal{K}.$ (b) Consider a solution of $0.010\ \mathrm{mol}\ \mathrm{dm}^{-3} \mathrm{Nal}(\mathrm{aq})$ at $25^{\circ} \mathrm{C}$ placed in the cell. Assume that the same value of $\mathcal{K}$ applies to this solution as to that in (a), and that $\lambda\left(N a^{+}\right)=5.01\ \mathrm{mS}\ \mathrm{m}^{2}\ \mathrm{mol}^{-1}$ and $\lambda(\Gamma)=7.68\ \mathrm{mS}\ \mathrm{m}^{2}\ \mathrm{mol}^{-1}.$ Predict (i) the molar conductivity, (ii) the conductivity, and (iii) the resistance of the solution in the cell.
engineering
In a food processing facility a spherical Container of inner radius $r_1 = 40 cm,$ outer radius $r_2 = 41 cm,$ and thermal conductivity $k= 1.5 W/m \cdot K$ is used to store hot water and to keep it at $100^\circ C$ at all times. To accomplish this, the outer surface of the Container is wrapped with a 800-W electric strip heater and then insulated. The temperature of the inner surface of the Container is observed to be nearly $120^\circ C$ at all times. Assuming 10 percent of the heat generated in the heater is lost through the insulation, (a) express the differential equation and the boundary conditions for steady one-dimensional heat conduction through the Container, (b) obtain a relation for the Variation of temperature in the Container material by solving the differential equation, and (c) evaluate the outer surface temperature of the Container. Also determine how much water at $100^\circ C$ this tank can supply steadily if the cold water enters at $20^\circ C.$
physics
You buy an "airtight" potato chip bag packaged at sea level, and take the chips on an airplane flight. When you take the potato chip bag out of your "carry-on" bag. you notice it has noticeably "puffed up." Airplane cabins are typically pressurized at $0.75 \mathrm{~atm}$, and assuming the temperature inside an airplane is about the same as inside a potato chip processing plant, by what percentage has the bag "puffed up" in comparison to when it was packaged?
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