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Investigation of RC Circuit : Assignment

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Added on  2021-06-14

Investigation of RC Circuit : Assignment

   Added on 2021-06-14

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Investigation of RC Circuit 1INVESTIGATION OF RC CIRCUITNameCourseProfessorUniversityCity/stateDate
Investigation of RC Circuit : Assignment_1
Investigation of RC Circuit 2Investigation of RC CircuitIntroductionVoltage drop across a capacitor (VC) and resistor (VR) is given as Vc=QC and Vc=IRrespectively, where Q = charge, C = capacitance, I = current and R = resistance). C is measured in farads (F), I is measured in amperes and R is measured in ohms. A capacitor is an element of an RC circuit that stores an electric field energy by separating negative and positive charges on opposite plates/terminals[ CITATION Xia171 \l 1033 ]. The behavior of capacitors is different when they are being charged and discharged. A capacitor is said to be charging when it is connected to a battery, capacitor and resistor. On the other hand, a capacitor is said to be discharging when it is connected to a capacitor and resistor but disconnected from the battery[ CITATION Gal15 \l 1033 ]; [ CITATION Lim15 \l 1033 ].Ohm’s law is governed by the equation V(t) = I(t)R (where V = voltage, I = current and R = resistance of the circuit). But I(t)=±dq(t)dt, hence dq(t)dt=±V(t)RDuring charging, voltage of a capacitor is given as follows: V(t)=ε(1−e−tτ) (where ε = electromagnetic force (emf).During discharging, voltage of a capacitor is given as follows: Vc(t)=Vo(e−tτ)Time constant, τ, is calculated as follows: τ = RC (where R = resistance of the resistor in ohms and C = capacitance of the capacitor in farads)[ CITATION Tra17 \l 1033 ]. This equation can be
Investigation of RC Circuit : Assignment_2
Investigation of RC Circuit 3rearranged as follows: C = τR. Time constant can be determined using different methods, such as experimental, calculus, etc.[ CITATION Dun10 \l 1033 ]; [ CITATION Per161 \l 1033 ].There are various techniques of analyzing RC circuits – some are simple while others are advanced depending on the technology used[ CITATION Gal14 \l 1033 ];[ CITATION Pea13 \l 1033 ]. This experiment involved measuring voltage across two different resistors and capacitors within a specific time, and using the data collected to determine the RC circuit’s time constant and capacitance of a capacitor.TablesThe measured and calculated values from the experiment are provided in Table 1 and 2 belowTable 1: Voltage and time against decay for C1Voltage (V)±0.01VLn (V) 0.01Time (s) 0.01s6.241.830.005.281.666.004.361.4712.003.601.2818.003.001.1024.002.480.90830.002.320.84232.001.720.54242.001.480.39248.001.160.14854.00Table 2: Voltage and time along decay for C2Voltage (V)±0.01VLn (V)0.01Time (s) 0.01s6.201.8200.005.561.7202.004.881.5904.00
Investigation of RC Circuit : Assignment_3
Investigation of RC Circuit 44.281.4506.003.761.3208.003.321.20010.002.881.06012.002.560.94014.002.240.80616.001.960.67318.00GraphsThe graph of voltage against time for C1 is as given in Figure 1 below0.005.0010.0015.0020.0025.0030.0035.0040.0045.0050.0055.0060.000.001.002.003.004.005.006.007.00Voltage (V) vs. time (s) for C1Time,T (s)Voltage,V(V)Figure 1: Graph of voltage (V) against time (s) for C1The graph of voltage against time for C2 is as given in Figure 2 below
Investigation of RC Circuit : Assignment_4

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