Figure 1: Voltage and Current plot of 510 ohm and 910-ohm resistor
(Source: Self-created)
For the 510-ohm resistor the gradient or the slope can be made out from the formula of straight line which is y = mx (Petralia, 2021). Here the intercept is zero.
Therefore, slope m = (y/x)
For 510-ohm resistor,
Slope m = 50/80 = 0.625.
Resistance = ΔV/ΔI = 4.62 / 0.025 = 184.8 Ohm
Percentage difference between the given the resistor and the practical resistor can be calculated as,
Percentage difference = (510 - 184.8/ 184.8) = 1.75
For 910 Ohm resistor,
Slope or gradient (m) = 40/ 90 = 0.444
Resistance = Δ V / ΔI = 5.94 / 0.045 = 132 Ohm
Percentage difference = (910 - 132)/132 = 5.89
The resistance which has been given in the question, might have been calculated on the basis of ideal cases (Rosa et al. 2019). The practical values are calculated based on the practical results where the ideal cases are not considered (Yikui, 2021). The values on the capacitors and resistances are marked but in the practical cases the values get changed from the marked values.
Figure 2: Circuit Diagram
(Source: Self-created)
Figure 3: Circuit Diagram
(Source: Self-created)
According to the formula that resistance (R) = resistivity (p) length(l) / cross sectional area of the wire(A)
Cross sectional area of the wire = Pi r^2.
Resistivity = 19n Ohmm = 19 10^-9 m
Length = 20000*10^-3 m = 20 m
Resistance = 1.1 Ohm.
According to the formula,
R = p l / A
A = p l/ R
Pi r^2 = p l/ R
r = p l/ R / Pi = (19 10^-9 m 20) / 1.1 * 3.14)) = 1.729 m^2
D = r/2 = 0.8645 m
v = 20sin(628t)
The simplified form of the given equation,
v = Vp sin( W t) = 20sin(628t)
Figure 4: Waveform
(Source: Self-created)
Figure 5: RLC Circuit Diagram
(Source: Self-created)
Figure 6: Phasor Diagram of RLC Circuit
(Source: Self-created)
Reference list
Journals
Rosa, P., Sassanelli, C. and Terzi, S., 2019. Circular Business Models versus circular benefits: An assessment in the waste from Electrical and Electronic Equipments sector. Journal of cleaner production, 231, pp.940-952.
Ab Rahman, A., Mustadza, N. and Yusof, A.M., 2021. Development of Teaching and Learning Module for Basic Electrical and Electronic Course. Research and Innovation in Technical and Vocational Education and Training, 1(1), pp.239-243.
Osmani, M., Pollard, J., Forde, J., Cole, C., Grubnic, S., Horne, J. and Leroy, P., 2021. Circular economy business model opportunities, challenges, and enablers in the electrical and electronic equipment sector: stakeholders’ perspectives.
Egea, J.A.L., IA confiable del Instituto de Ingeniería Eléctrica y Electrónica| Reliable AI of the Institute of Electrical and Electronic Engineering.
Petralia, S., 2021. GPTs and growth: evidence on the technological adoption of electrical and electronic technologies in the 1920s. European Review of Economic History, 25(3), pp.571-608.
Yikui, H., 2021, July. Design and Implementation of Virtual Experiment System Platform for Electrical and Electronic Engineering in Vocational College. In Journal of Physics: Conference Series (Vol. 1982, No. 1, p. 012176). IOP Publishing.
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