Problem 8: A R = 184-2 resistor, C = 170-µF capacitor, and L = 2.2-H inductor are connected in series with an AC source of amplitude Vo = 9.2 V and variable angular frequency W. Part (a) Enter an expression, in terms of the defined variables, for the resonance angular frequency of the circuit, wR. Expression : WR = Select from the variables below to write your expression. Note that all variables may not be required. B. y, 0, C, d, g, h, j, k, L, m, n, P, R, Vo Part (b) Calculate the value of the resonance angular frequency, in radians per second. Numeric : A numeric value is expected and not an expression. WR =. Part (c) Enter an expression, in terms of the defined variables, for the amplitude of the current in the circuit at the resonance frequency, when w = WR. Expression : IOR = Select from the variables below to write your expression. Note that all variables may not be required. B. y, 0, C, d, g, h, j, k, L, m, n, P, R, Vo Part (d) What is the value, in millamperes, of the amplitude of the current in the circuit at its resonance frequency? Numeric : A numeric value is expected and not an expression. IOR = Part (e) What is the value, in degrees, of the phase constant of the current in the circuit at the resonance frequency? Numeric : A numeric value is expected and not an expression. Part (f) For a source voltage of V = Vocoswrt, at the resonance frequency, calculate the current, in milliamperes, at time t = 1.8 s. Numeric : A numeric value is expected and not an expression. IR = Part (g) For a source voltage of V = Vọcoswrt, at the resonance frequency, calculate the voltage drop, in volts, across the resistor at time t = 1.8 s. Numeric : Anumeric value is expected and not an expression. VR = Part (h) For a source voltage of V = Vocoswrt, at the resonance frequency, calculate the voltage drop, in volts, across the inductor at time t = 1.8 s. Numeric : A numeric value is expected and not an expression. VL = Part (i) For a source voltage of V = Vocoswrt, at the resonance frequency, calculate the voltage drop, in volts, across the capacitor at time t = 1.8 s. Numeric : A numeric value is expected and not an expression. Vc = Part (j) What is the power factor of the circuit when w = wR? Numeric : A numeric value is expected and not an expression. coso = Part (k) How much energy, in joules, does the resistor consume during 10 seconds when w = wR? Numeric : Anumeric value is expected and not an expression. E =
Stellar evolution
We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars do not exist forever they have a certain lifetime. The life span of the sun is about 10 billion years. The star undergoes various changes during its lifetime, this process is called stellar evolution. The structure of the sun-like star is shown below.
Red Shift
It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths (red) side.
can you please solve I, j & k?
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