Example 2 IL 300 mH 101A + 100 Ω m 60 Ω IA 1. Determine the Thevenin equivalent circuit seen by the inductor.
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- Find the impedance theoretically of a wire if it carries the frequency 10 kHz have a voltage is 8v, the current is 2mA, resistance is 12 kΩ , inductance 27 mH and capacitance 0.2 µfA circuit is designed with an AC source of max voltage 12 and frequency 60 Hz. The circuit has a resistance of 1050 Ohms, an inductance of 0.06 Henrys, and a capacitance of 0.009 coulombs per volt. - omega for source in rad/s? - omegaR for circuit? -XL? -XC? -phi in radians? -Z? -imax?Show that at a given frequency ω, the circuits will have the same impedance between the terminals a,b ifR1=R21+ω2R22C22,C1=1+ω2R22C22ω2R22C2.2. Find the values of resistance and capacitance that when connectedin series will have the same impedance at 40 krad/s as that of a1000 Ω resistor connected in parallel with a 50 nF capacitor.
- 12. 7.12 In the circuit , let Ig represent the dc current source, σrepresent the fraction of initial energy stored in the inductor that isdissipated in to seconds, and L represent the inductance. 1. a) Show thatR=Lln[1/(1−σ)]2toA pure inductance of L= 25mH has a current of i = 3 cos 2000t A. What is the angle theta (in degrees) of the equation below (include the sign if + or -)? V= V max sin ( 2000t ___ )Using the phase shift of 72º from the Experiment, determine the inductance value, L, of the inductor shown. Vr(t) =3.7272 cos(4000 t - 72°) [V]
- A resistor'R' with resistance value of 24 ohm, an inductor 'L' with inductance 20mH, and a capacitor 'C' with capacitance 50 micro Farrad are connected in series with a AC voltage v(t) where v(t) = 50 cos (2 vt + 30 degrees) v. Determine the current i(t) and total impedance if the frequency f is i. 60 Hz ii. 400HzA 200 Ω resistor, 0.900 H inductor, and 6.00 µF capacitor are connected in series across a voltage source that has voltage amplitude 30.0 V and an angular frequency of 250 rad/s. (a) What are v, vR, vL, and vC at t = 20.0 ms? Compare vR + vL + vC to v at this instant. (b) What are VR, VL, and VC? Compare V to VR + VL + VC. Explain why these two quantities are not equal.2. FIND THE EQUIVALENT CAPACITANCE. PLS ANSWER ASAP
- 17. Suppose we have a RC circuit with an alternating voltage V(t) = V_{m} * cos(5t) If the initial voltage is 4V and the resistor has a resistance of 8 ohm and the capacitor is of capacitance 2F then the charge for the circuit is?3. Write the equation for capacitor voltage, v(t)=V0e−t/τ, for t≥0A series L–R–C circuit has a supply input of 5 volts. Given that inductance, L = 5 mH, resistance, R = 75ohm and capacitance, C = 0.2µF, determine (c) the frequency at which the p.d. across the capacitance is a maximum and (d) the value of the maximum voltage across the capacitor. answer: c) 4741 hz, d)10.85volts