a. If the flow of current (i), Amperes, in a capacitor at time (t), seconds, increases...

 

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a. If the flow of current (i), Amperes, in a capacitor at time (t), seconds, increases at an exponential according to the equation below: i = 7.9 (1 – e-¹/RC) The resistance of the circuit is 23k and the capacitance is 19µF. C. i. ii. b. A metal bar with a length L expands and contracts as its temperature changes according to the equation: L = Loe ar Where Lo is the original length of the bar, a is a constant and T is the temperature in Kelvin. i. Calculate the value of a given the original length of the bar is 1.429m and ii. Calculate the current after 800ms Calculate the time for the current to reach 7A. i. An alternating current is given by the equation: ii. expands to 1.512m at a temperature of 282K. What will the length of the bar be at 300K? Give your answer to 3dp. i= 4 sin(77πt + 0.25) Find by inspection of the equation the amplitude, frequency and periodic time of the current. Find the values of the current at t= 0s and t = 1s. d. The current along a transmission line is given by the following hyperbolic equation. Find the values of A and B. Ae* + Be* = 8 cosh x - 6 sinh x e. The current along a transmission line is given by the following hyperbolic equation. Find the values of A and B. 8e5e-*= A sinh x + B cosh x a. If the flow of current (i), Amperes, in a capacitor at time (t), seconds, increases at an exponential according to the equation below: i = 7.9 (1 – e-¹/RC) The resistance of the circuit is 23k and the capacitance is 19µF. C. i. ii. b. A metal bar with a length L expands and contracts as its temperature changes according to the equation: L = Loe ar Where Lo is the original length of the bar, a is a constant and T is the temperature in Kelvin. i. Calculate the value of a given the original length of the bar is 1.429m and ii. Calculate the current after 800ms Calculate the time for the current to reach 7A. i. An alternating current is given by the equation: ii. expands to 1.512m at a temperature of 282K. What will the length of the bar be at 300K? Give your answer to 3dp. i= 4 sin(77πt + 0.25) Find by inspection of the equation the amplitude, frequency and periodic time of the current. Find the values of the current at t= 0s and t = 1s. d. The current along a transmission line is given by the following hyperbolic equation. Find the values of A and B. Ae* + Be* = 8 cosh x - 6 sinh x e. The current along a transmission line is given by the following hyperbolic equation. Find the values of A and B. 8e5e-*= A sinh x + B cosh x