1) 2) 3) 4) A circuit is constructed with a resistor, two inductors, one capacit
ID: 2145494 • Letter: 1
Question
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A circuit is constructed with a resistor, two inductors, one capacitor, one battery and a switch as shown. The value of the resistance is R1 = 270?. The values for the inductances are: L1 = 365 mH and L2 = 152 mH. The capacitance is C = 77?F and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. The switch has been closed for a long time when at time t = 0, the switch is opened. What is UL1(0), the magnitude of the energy stored in inductor L1 just after the switch is opened? What is ?o, the resonant frequency of the circuit just after the switch is opened? What is Qmax, the magnitude of the maximum charge on the capacitor after the switch is opened? What is Q(t1), the charge on the capacitor at time t = t1 = 2.78 ms. Q(t1) is defined to be positive if V(a) - V(b) is positive. What is t2, the first time after the switch is opened that the energy stored in the capacitor is a maximum? What is the total energy stored in the inductors plus the capacitor at time t = t2?Explanation / Answer
answer is
.Energy stored in L1 is L1/L1+L2(Total energy).
=365/(365+152) =0.705996131520.70599613152
Since inductors store entire energy at that moment=V^2/R1. = 12^2/120 =1.2
2.Resonant frequency is C(L1+L2) =77*10^-6 *(365+152) =0.039809
3.When entire energy is stored in capacitor 1/2CV1^2=V^2/R1
V1=V/ (undefined)
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.5.Energy stored in capacitor is max means current=0.t=pi/2W where W is resonant frequency
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Total energy remains the same.Therefore answer of 6 is total energy
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