Q1.In the circuit shown below, capacitors C1 and C2 are very large and are shorts
at the input frequency. vi is a small signal input. The gain magnitude at 10
M rad/s is
Answer : Option AExplaination / Solution:
For the parallel RLC circuit resonance frequency is,
Thus given frequency is resonance frequency and parallel RLC circuit has
maximum impedance at resonance frequency
Gain of the amplifier is where ZC is impedance of parallel RLC
circuit.
Q4.Three condensers of capacity 2 μF , 4 μF and 8 μF respectively, are first connected in series and then connected in parallel. The ratio of the equivalent capacitance in the two cases will be
Q8.A capacitor of capacitance C = 2 μFis connected as shown in the figure. If the internal resistance of the cell is 0.5Ω, the charge on the capacitor plates is
Answer : Option CExplaination / Solution: At steady state no current flows through the capacitor. The total resistance in the circuit =2+0.5=2.5Ω. Current I=V/R=2.5/2.5=1A. since no current flows through the 10 Ω resistor, the potential drop across it =0. The potential drop across the 2 Ω resistor = potential across the capacitor= I×2=2V.Charge on the capacitor Q= CV=(2μF)×(2V)=4μC.