Q15. The voltage across a 2H inductor is known to be 6 cost V. Use the inductor's voltage-current relation 1 i(t) = ²/² v(x) dx 8 to find the inductor current at t =, if you know that i(t = -1) = 1 A. i(t =) = 1 A
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- A 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.A series circuit has a capacitor of 1.5625x10^(-8)F a resistor of 2x10^4 ohms, and an inductor of 1H. If the initial charge on the capacitor is zero,. if a 12-volt battery is connected to the circuit and the circuit is closed at t=0, determine the charge on the capacitor at any time tA 1-F capacitor and initially starts with vC(0) = 0V. (a) Determine iC(t) when vC(t) = x(t), where vC(t) has units of V. (b) Determine vC(t) when iC(t) = x(t), where iC(t) has units of A. Hint: don’t forget the initial conditions. Answer: (0, 4, −4, 0)A, 0V, (2t2−4t+2)V, (−2t2+12t−14)V, 4
- A series LR circuit has a variable inductor with theinductance L(t) is defined by intervals.Find the current i(t) if the resistance is 0.2 ohms, the voltageapplied is E(t) = 4 volts; knowing that i(0) = 0.An RL circuit with a 8-ohm resistor and a 0.08-H inductor carries a current of 1 A at t = 0, at which time a voltage source E(t) = 8 cos (90t) V is added. Determine the subsequent inductor current and voltage.The circuit parameters in the circuit are R=4800 Ω, L=64 mH, C=4 nF, and vg=−72 V.1. Express vo(t) numerically for t≥0.2. How many microseconds after the switch opens is the inductorvoltage maximum?3. What is the maximum value of the inductor voltage?4. Repeat (a)–(c) with R reduced to 480 Ω
- The current in a 20 mH inductor is known to be i=40 mA,t≤0; i=A1e−10,000t+A2e−40.000tA,t≥0. The voltage across the inductor (passive sign convention) is 28 V at t=0. 1. Find the expression for the voltage across the inductor for t>0. 2. Find the time, greater than zero, when the power at the terminals of the inductor is zero.An RLC series circuit contains an unknown capacitor, an inductor with an inductance of 40 mH, and a resistor with a value of 16 Ω. The circuit is connected to a 240-V, 60-Hz line. If a current of 8 A flows in the circuit, determine the value ofthe unknown capacitor? Show your work. a) 2.575 uF b) 25.75 uF c) 257.5 uF d) 2575 uFCalculate the current in an RLC circuit with resistances R=11 ohms, L=0.1 H, and C=10^-2 F that is linked to the source V(t)= 10sin 377t. Assume that the capacitor charge and current are both zero at time t=0.
- A coil having a 240V source has a current of 10.5 A when the frequency is set to 60 Hz. When the frequency is changed to 30 Hz, the resulting current is now 14.3 A. Find the inductance, L, of the coil (in mH).1. A source voltage of an AC series RLC circuit is 120 V. The circuit consists of the ff. quantities: R = 20 Ω, XL = 40 Ω, and XC = 40 Ω. The circuit current (in amperes) is Blank 1. 2. A 9 µF capacitor is in parallel with 3 µF capacitor. If the parallel capacitors is in series with an 8 µF capacitor, the value of total capacitance of the series-parallel connected capacitors is Blank 1.The 0.1μF capacitor in the circuit shown is charged to 100 V. Att=0 the capacitor is discharged through a series combination of a 100 mHinductor and a 560Ω resistor.1. Find i(t) for t≥0.2. Find vC(t) for t≥0.