<p> Leader: German Parada Dead Week Unit 1 review Course: Phys 222 Supplemental Instruction Instructor: Dr. Soeren Prell Iowa State University Date: 4/28/2014 Please fill in the blanks and answer the short questions/problems when appropriate.</p><p>Pressure is defined as ______, and it has units of ____. When an object is submerged in a fluid of density ρ, it experiences pressure dependent on __, ___ and ___, as indicated in the following equation where P is the ______and (P-Po) is called the ______.</p><p>Derived from that equation, Pascal’s principle indicates that:</p><p>Due to the difference in hydrostatic pressures, an object submerged in a fluid will experience an ______force called ______, which is described in this equation,</p><p>When incompressible fluids flow, the volumetric flow rate and velocity are related by the ______, which can be written as . Also, for incompressible fluids, the conservation of energy allows for the derivation of the Bernoulli equation, which relates ______, ______, ______and fluid ______, as follows</p><p> a – Two solid spheres with the same mass but different densities (both lower than that of water) are tied with rope to the bottom of a pool. If the density of one is three times less than the other, what is the ratio of the tension of the ropess?</p><p> b – Ethanol (ρ = 0.789g/mL) flows in a pipe with decreasing diameter. If the final diameter is four times narrower than the initial diameter, is the final pressure greater or smaller than the initial one? How much greater/smaller?</p><p>The force between two point charges increases as ______increases and ______decreases, as indicated by the equation . If more than one charge is present, the force vectors can be ______as stated by the ______.</p><p>A more general way of describing forces is by introducing the concept of ______, obtained by dividing the force over the charge of a test charge. Then, for a point charge, the expression for the E-field is . Graphically, the E-filed is represented by ______, which start at ______charges and end at ______. For multiple charges, the E-field can also be ______.</p><p>To find the E-field for more complex charge, ______can be used. This law relates the ______charge and the E-field, as follows . Using this law, the following table can be completed,</p><p>Object Charged sphere Surface of charge Line of charge E-field</p><p>Supplemental Instruction 1060 Hixson-Lied Student Success Center v 294-6624 v www.si.iastate.edu Where the charge densities are,</p><p>To calculate the energy and work for electrical systems, a concept called ______can be used. The following equation is used to calculate the potential difference between two points . Usually, the potential at _____ is set at zero. Also, it is possible for find E-field from potential using </p><p>For a point charge, the expression for potential at a point r away is For constant E-field, the expression for potential is</p><p>For conducting objects, the ______is always zero and the potential is ______.</p><p> a- Two identical charges of 30nC are located at (0,0) and (3,0). What is the direction and magnitude of the E-field at (3,4)? </p><p> b – Two parallel lines of charge separated a distance L have charge densities λ1 = -3mC/m and λ2 = -6mC/m. Where would the net E-field be zero?</p><p> c- There are two spheres with the same total charge and radius. However, on is conductive and while the other is non-conductive and has a uniform charge distribution throughout its volume. Will the graphs of V(r) for these two spheres be different? How so?</p><p>Devices used to store charge are called ______. The measurement of how well the charge is stored is termed ______(the unit is ___) and can be found by this equation . </p><p>Different equations can be used to find capacitance for different geometries, as seen below, Geometry Parallel Plate Concentric cylinders Concentric Spheres Capacitance</p><p>The energy stored by a capacitor can be found with the following equations</p><p>In reality, the energy is stored in the ______inside the capacitor, as shown in the following equation</p><p>If various capacitors are connected in parallel, the equivalent capacitance is found using whereas the following equation is used if connected in series</p><p>If instead of vacuum another material (dielectric) is placed inside the capacitor, the capacitance expressions need to be multiplied by the ______. This ______the capacitance of the devices. However, if the E-field applied across the capacitor is too high, a phenomenon called ______takes place, damaging the capacitor.</p><p> a – The plates of a parallel plate capacitor connected to a battery of are pulled away. If the final separation is three times the initial separation, how does the energy stored change?</p><p> b – The dielectric material (k = 3.5) between the plates of an isolated concentric cylinder capacitor is removed. How does the voltage of this capacitor change? What about the energy?</p>