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Dielectric Constant Of Water
Water constitutes about 70% of earth. Some important distinguishing properties of water are high molar concentration, small dissociation constant and high dielectric constant.
Electrostatic Potential and Capacitance
An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.
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- Consider a circuit that consists of a real battery with an emf and an internal resistance of r connected to a variable resistor R. (a) In order for the terminal voltage of the battery to be equal to the emf of the battery, what should the resistance of the variable resistor be adjusted to? (b) In older to get the maximum current from the battery, what should the resistance variable resistor be adjusted to? (c) In order for the maximum power output of the battery to be reached, what should the resistance of the variable resistor be set to?Study the symbols in Table 29.2. Then, without looking at the table, draw the symbols for these circuit elements: a. a wire, b. a switch, c. a resistor, d. an emf device, and e. a lightbulb.Give the symbolic expression for the emf E using KVL for the circuit with S1 closed and S2 open. Give your answer in terms of the current I, resistor R, capacitors C1 and C2 and charges stored in the respective capacitors Q1 and Q2. Use * to denote product and / to denote division. So to group the product of, say, a and b_1 write a*b_1. And to write a ratio of say, c_1 and d write c_1/d. To add the product and ratio write a*b_1 + c_1/d . a)Write the mathematical expression for emf E. E= In the figure there's a circuit with an emf E=21V, two resistors R1=35kΩ and R2=5.5kΩ, two capacitors C1=25μF and C2=22μF and two switches S1 and S2. b) Find the time constant for this configuration of the circuit. Time constant τ c) Find how much charge will be stored in C2 after time t=1.3τ seconds. Charge stored in C2 PartII After t=10τ seconds, we open switch S1 and close switch S2. Mark current time as t′=0. In this configuration, capacitor C2 discharges through the resistor R2. d) Find…
- M 1 Ω 11 V 3 W Ω 16 V a. Write Kirchhoff's junction rule for all junctions in the circuit. b. Write Kirchhoff's loop rule for all the loops in the circuit. c. Solve the circuit by finding the values of all the currents. 2 Ω mi M In this assignment you will be following the problem solving strategy for Kirchhoff Rules. 1. Reproduce, as neatly as possible, on paper, the circuit shown above. Do not make the circuit too small as you will have to add things to it later. 2. Label all relevant points in this circuit. For your benefit these points are marked with dots in the Figure above and they include: circuits junctions (i.e. places where 3/more wires connect), wire "corners" (i.e. places where a single wire is bent), and locations between two components on a single straight wire. These will help identify loops as well as making it easier to keep track of potential differences. Use lower case letters (a, b, c, ...) for this task. 3. For each junction draw and label the currents coming in…Shown in the figure below is an electrical circuit containing three resistors and two batteries.Write down the Kirchhoff Junction equation and solve it for I1 in terms of I2 and I3. Write the result here:I1 = Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise..0 = Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 10V, R1, 4V, and R2..0 = The resistors in the circuit have the following values: R1 = 1 Ω R2 = 4 Ω R3 = 10 Ω Solve for all the following (some answers may be negative):I1 = AmperesI2 = AmperesI3 = AmperesNOTE: For the equations, put in resistances and currents SYMBOLICALLY using variables like R1,R2,R3 and I1,I2,I3. Use numerical values of 10 and 4 for the voltages.Problem 3: Consider a circuit shown in the figure. Ignore the internal resistances of the batteries. ℰ1 = 34 Vℰ2 = 46 VR1 = 10 ΩR2 = 4 ΩR3 = 8 Ω. 1. Write the equation of potential change in loop DCAF in terms of the circuit elements. 2. Solve the three equations to get I3. 3. Calculate the numerical value of I3 in A. 4. Calculate the numerical value of I2 in A. 5. Calculate the numerical value of I1 in A.
- The parallel circuit at the right depicts two resistors connected to a voltage source. The voltage source (AVtot) is a 12-V source and the resistor values are 7.4 Q (R,) and 3.9 Q (R2). a. Determine the equivalent resistance of the circuit. [ Select ] b. Determine the current in each branch resistor: Current in R, = [Select] Current in R, = [Select ] %3D C. Determine the total current in the circuit. Select ]a. Write Kirchhoff's loop rule (clockwise) for the circuit shown in (Figure 1).Express your answer in terms of the variables I,R1,R2,R3, and ϵ2 (ϵ2=ϵ2). b. Determine the current in the circuit for the case in which ε1 = 12.0 V, ε2 = 3.00 V, R1 =R2 = 1.00 Ω, and R3 = 16.0 Ω c. Determine the potential difference from A to B. d.Select a potential-versus-position graph starting at location JJ in the circuit and returning to the same point. (Graph 1,2,3, or 4).I need a labled schematic on paper of the circuit showing + and - terminals of the battery, the direction of any current flowing through the circuit, and any voltage drop across any resistors. I also need the form of the equations dealing with I, R (or 1/R), and V equations filled in with the appropriate numbers and answer with units for this problem. Problem: The same two resistors are connected in parallel to a voltage source. The voltage source (∆Vtot) is a 48-V source and the resistor values are 6.4 Ω (R1) and 3.9 Ω (R2). Determine the equivalent resistance of the circuit. Determine the current in the circuit. Determine the voltage drop across each individual resistor.
- Consider following circuit with R1 = 60 Ω, R2 = 18 Ω, R3 = 60 / 10 Ω, R4 = 18/10 Ω and and ξ=18 V d. Write Kirchhoff’s potential difference rule for right loop e. Calculate currents i1 , i2 and i3 ? f. Calculate the potential difference of R2 ? g. Calculate the potential difference of R3 ? h. Calculate the heat dissipation of R2 resistor i. Cross sections through two long conductors of the same length and material, with square crosssections of edge lengths are shown below. Conductor Y fits snugly within conductor X, Rank theresistance of X and Y?Shown in the figure below is an electrical circuit containing three resistors and two batteries.Write down the Kirchhoff Junction equation and solve it for I1 in terms of I2 and I3. Write the result here:I1 = I2−I3 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and follows the perimeter of the circuit diagram clockwise.0 = I3R3+10−I1R1+4 Write down the Kirchhoff Loop equation for a loop that starts at the lower left corner and touches the components 4V, R2, and R1.0 = −I2R2−I1R1+4 The resistors in the circuit have the following values: R1 = 3 Ω R2 = 5 Ω R3 = 11 Ω Solve for all the following (some answers may be negative):I1 = AmperesI2 = AmperesI3 = AmperesKirchhoff's Rules for Circuits 7. E, = 24.0 V Use Kirchhoff's loop and junction rules to set up a system of 3 linear equations that could be solved for d 0.10 Q the 3 unknown currents, I, I2, I3, in the circuit to the right. R, 5.0 2 R5 20 Ω E2 = 48.0 V simplify each of your equations, express R them without units, and box them. a 0.50 N 40 Ω Do not attempt to solve. Your equations should be numerical and placed in the standard linear algebra system of equations form we used in lab. For example: 20.20 2 R3 78 Ω •f E4 = 36.0 V Ez = 6.0 V 5.11 + 2.413 = -4.9 i 0.05 Ω h