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Kirchhoff's Rules
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- For the circuit shown in Figure P18.30, use Kirchhoffs rules to obtain equations for (a) the upper loop, (b) the lower loop, and (c) the node on the left side. In Figure P18.29 each case suppresses units for clarity and simplify, combining like terms. (d) Solve the node equation for I36. (e) Using the equation found in (d), eliminate I36 from the equation found in part (b). (f) Solve the equations found in part (a) and part (e) simultaneously for the two unknowns for I18 and I12, respectively. (g) Substitute the answers found in part (f) into the node equation found in part (d), solving for I36. (h) What is the significance of the negative answer for I12? Figure P18.30Problem 5: A precision laboratory resistor is made of a coil of wire. The coil is 1.6 cm in diameter, 3.75 cm long, and has 500 turns. Part (a) What is its self-inductance in millihenries? Part (b) What average emf in volts is induced if a 12.0 A current through it is turned on in 5.00 ms (one-fourth of a cycle for 50 Hz AC)? Part (c) What is its inductance in millihenries if it is shortened to half its length and its 500 turns are counter-wound (wound as two oppositely-directed layers of 250 turns each)?Pls help me asap with the given question and make sure is correct 100%. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of An R–L–C circuit. Part A. Compute the impedance of a series R-L-C circuit at angular frequencies of ω1=�1= 1000 rad/srad/s , ω2=�2= 780 rad/srad/s and ω3=�3= 450 rad/srad/s . Take R� = 250 ΩΩ , L� = 0.860 HH and C� = 1.85 μF�F . Express your answers in ohms separated by commas. Part B. What is the phase angle of the source voltage with respect to the current when ω� = 1000 rad/srad/s? Express your answer in degrees.
- For the circuit shown in Figure P18.28, use Kirchhoff’s rules to obtain equations for (a) the upper loop, (b) the lower loop, and (c) the node on the left side. In each case suppress units for clarity and simplify, combining like terms. (d) Solve the node equation for I 36 . (e) Using the equation found in (d), eliminate I36 from the equation found in part (b). (f) Solve the equations found in part (a) and part (e) simultaneously for the two unknowns for I18 and I12 , respectively. (g) Substitute the answers found in part (f) into the node equation found in part (d), solving for I36 . (h) What is the significance of the negative answer for I12For the circuit shown in FigureP18.30, use Kirchhoff’s rules to obtain equationsfor (a) the upper loop, (b) the lowerloop, and (c) the node on the left side. Ineach case suppress units for clarity and simplify, combining liketerms. (d) Solve the node equation for I36. (e) Using the equationfound in (d), eliminate I36 from the equation found inpart (b). (f) Solve the equations found in part (a) and part (e) simultaneously for the two unknowns for I18 and I12, respectively.(g) Substitute the answers found in part (f) into the node equationfound in part (d), solving for I36. (h) What is the significanceof the negative answer for I12?For the circuit shown in Figure Pl8.30, use Kirchhoff's rules to obtain equations for (a) the upper loop, (b) the lower loop and (c) the node on the left side. In each case suppress units for clarity and simplify, combining liketerms. (d) Solve the node equation for l36. (e) Using the equation found in (d), eliminate l36 from the equation found in part (b). (f) Solve the equations found in part (a) and pan (e) simultaneously for the two unknowns for l18 and l12, respectively. (g) Substitute the answers found in part (f) into the node equation found in part (d ), solving forl36 . (h) What is the significance of the negative answer for l12?
- (circuit setup in the image attached) f = 100 Hz, L= 8.2 mH, Vp = 10 V (AC) a) If the voltage across the resistor is 4.33 V, voltage across the inductor is 3.23 V, and the current (rms) is 0.42 A, why do these values alone disagree with Kirchoff's rule? b) How can Kirchoff's rule be correctly applied to the circuit? (i.e. show that it is actually still valid)can you help with 1a and subquestion 1b and 1c this is not and will not be graded 1a. Your RL circuit has a characteristic time constant of 20.0 ns, and a resistance of 5.90 MΩ. What is the inductance of the circuit? 1b. What resistance would give you a 1.00 ns time constant, perhaps needed for quick response in an oscilloscope? 1c. A large superconducting magnet, used for magnetic resonance imaging, has a 49.0 H inductance. If you want current through it to be adjustable with a 1.30 s characteristic time constant, what is the minimum resistance of system?A two-part problem concerning resonance in an RLC series circuit. a. Calculate the resonant angular frequency of an RLC series circuit for which R = 20 Ω, L = 75 mH, and C = 4.0 uF. b. Does the resonant angular frequency increase, decrease, or stay the same if the resistance is changed to 300 Ω? Does changing this resistance have any other effect on the circuit? Explain.
- Hi Kindly help me answer this question An AC circuit carries an rms current of 7.0 Amps. The current travels through a 12 Ohm resistor. A. What is the peak current? B.What is the power dissipated in the resistor? C. What is the peak voltage drop across the resistor?can you help with 3a and subquestion 3b and 3c this is not and will not be graded 3a. What percentage of the final current I0 flows through an inductor L in series with a resistor R, four time constants after the circuit is completed? (You do not need to enter any units.) 3b. At what frequency will a 27.0 mH inductor have a reactance of 85 Ω? 3c. What capacitance should be used to produce a 5.90 MΩ reactance at 60.0 Hz?A microscope illuminator uses a transformer to step down the 120 V AC of the wall outlet to power a 12.0 V, 50 W microscope bulb.a. What is the resistance of the bulb filament?b. What is the rms current in the bulb filament?c. What is the rms current in the primary coil?
