Aluminium conductor found in a circuit seems to change its resistance(R) with the temperature (θ) . Resistance change wi
Posted: Tue Jun 07, 2022 1:46 pm
Aluminium conductor found in a circuit seems to change its
resistance(R) with the temperature (θ) . Resistance change
with respect to temperature is proportional to the resistance of
the aluminium conductor
Please answer all questions.... cannot upload
subquestions one by one because there are all connected to one and
another
i Will definetly give a big thumbs up for the correct
answers
Part 5 a) Aluminium conductor found in a circuit seems to change its resistance(R) with the temperature (0). Resistance change with respect to temperature is proportional to the resistance of the aluminium conductor. The person who oversees the voltage given to the circuit needs your assistance to determine the resistance of the circuit under a given temperature. i) Form a differential equation to find the resistance at a given temperature. (Take the constant of proportionality as a which is temperature coefficient of resistance of aluminum) ii) If R = Rowhen 0 = 0°C solve the differential equation for R. iii) If a = 45 X 10-4 /°C determine the resistance of the aluminium conductor at 60°C Correct to 3 significant figures given that resistance is 34 N at 0°C.
b) Further you are asked to formulate the following differential equation for the natural response of R-C-L circuit(no external power sources) using kirchhoff's law and voltage drop across each unit for the above circuit in part (a) which consists of a resistor, capacitor and a inductor which are connected in series. d²i R di 1 + i = 0. (Where R is resistance is inductance and C is capacitance connected in the series) dt² L dt LC i) If R = 220 ohms, L=0.4 henry and C= 25 X 10-6 farads solve the equation for i given that when t = 0, i = 0, = 120. di dt ii) Evaluate your solution using Laplace transforms. c) If there's an external power source supplied to the circuit show that, d²q dq L +R da + ²q Vosinwt, represents the variation of capacitor charge in the above electric dt² dt circuit. Determine an expression for q at time t seconds given that R= 30 M, L = 0.04H, C = 40 X 10-6F,V= 440.2 V and w = 200 rad/s and given the boundary conditions that when t = 0, q = 0 and da = 5.8. dt =+
b) Further you are asked to formulate the following differential equation for the natural response of R-C-L circuit(no external power sources) using kirchhoff's law and voltage drop across each unit for the above circuit in part (a) which consists of a resistor, capacitor and a inductor which are connected in series. d²i R di 1 + i = 0. (Where R is resistance is inductance and C is capacitance connected in the series) dt² L dt LC i) If R = 220 ohms, L=0.4 henry and C= 25 X 10-6 farads solve the equation for i given that when t = 0, i = 0, = 120. di dt ii) Evaluate your solution using Laplace transforms. c) If there's an external power source supplied to the circuit show that, d²q dq L +R da + ²q Vosinwt, represents the variation of capacitor charge in the above electric dt² dt circuit. Determine an expression for q at time t seconds given that R= 30 M, L = 0.04H, C = 40 X 10-6F,V= 440.2 V and w = 200 rad/s and given the boundary conditions that when t = 0, q = 0 and da = 5.8. dt =+
resistance(R) with the temperature (θ) . Resistance change
with respect to temperature is proportional to the resistance of
the aluminium conductor
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subquestions one by one because there are all connected to one and
another
i Will definetly give a big thumbs up for the correct
answers
Part 5 a) Aluminium conductor found in a circuit seems to change its resistance(R) with the temperature (0). Resistance change with respect to temperature is proportional to the resistance of the aluminium conductor. The person who oversees the voltage given to the circuit needs your assistance to determine the resistance of the circuit under a given temperature. i) Form a differential equation to find the resistance at a given temperature. (Take the constant of proportionality as a which is temperature coefficient of resistance of aluminum) ii) If R = Rowhen 0 = 0°C solve the differential equation for R. iii) If a = 45 X 10-4 /°C determine the resistance of the aluminium conductor at 60°C Correct to 3 significant figures given that resistance is 34 N at 0°C.
b) Further you are asked to formulate the following differential equation for the natural response of R-C-L circuit(no external power sources) using kirchhoff's law and voltage drop across each unit for the above circuit in part (a) which consists of a resistor, capacitor and a inductor which are connected in series. d²i R di 1 + i = 0. (Where R is resistance is inductance and C is capacitance connected in the series) dt² L dt LC i) If R = 220 ohms, L=0.4 henry and C= 25 X 10-6 farads solve the equation for i given that when t = 0, i = 0, = 120. di dt ii) Evaluate your solution using Laplace transforms. c) If there's an external power source supplied to the circuit show that, d²q dq L +R da + ²q Vosinwt, represents the variation of capacitor charge in the above electric dt² dt circuit. Determine an expression for q at time t seconds given that R= 30 M, L = 0.04H, C = 40 X 10-6F,V= 440.2 V and w = 200 rad/s and given the boundary conditions that when t = 0, q = 0 and da = 5.8. dt =+
b) Further you are asked to formulate the following differential equation for the natural response of R-C-L circuit(no external power sources) using kirchhoff's law and voltage drop across each unit for the above circuit in part (a) which consists of a resistor, capacitor and a inductor which are connected in series. d²i R di 1 + i = 0. (Where R is resistance is inductance and C is capacitance connected in the series) dt² L dt LC i) If R = 220 ohms, L=0.4 henry and C= 25 X 10-6 farads solve the equation for i given that when t = 0, i = 0, = 120. di dt ii) Evaluate your solution using Laplace transforms. c) If there's an external power source supplied to the circuit show that, d²q dq L +R da + ²q Vosinwt, represents the variation of capacitor charge in the above electric dt² dt circuit. Determine an expression for q at time t seconds given that R= 30 M, L = 0.04H, C = 40 X 10-6F,V= 440.2 V and w = 200 rad/s and given the boundary conditions that when t = 0, q = 0 and da = 5.8. dt =+