Network Theory Practice Test 10

1. Consider the impedance function Z(s)=3(s+2)(s+4)/(s+1)(s+3). Find the value of R_∞ after realizing by first Foster method.

2. Consider the impedance function Z(s)=(s²+6s+8)/(s²+3s). Find the value of C₂ after performing the second Cauer form.

3. For the two circuits shown below, the relation between I_A and I_B is ________

4. Consider the admittance function, Y(s)=((2s²+16s+30))/(s²+6s+8). Determine the value of L₂ after performing the second form of Foster method.

5. A waveform is of the form of a trapezium, which increases linearly with the linear slope till θ = \(\frac{π}{3}\), constant till θ = \(\frac{π}{2}\) and again linearly decreases to 0 till θ = π. The average value of this waveform is ______________

6. In the circuit given below, the resistance between terminals A and B is 7Ω, between terminals B and C is 12Ω and between terminals C and A is 10Ω. The remaining one terminal in each case is assumed to be open. Then the value of R_A and R_B are _________

7. D is the distance between the plates of a parallel plate capacitor. The dielectric constants are ∈₁ and ∈₂ respectively. The total capacitance is proportional to ____________

8. Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of R₁ after converting into first Cauer form.

9. The filter which passes all frequencies above fc by attenuating significantly, all frequencies above f_c is _______________

10. In the circuit given below, M = 20. The resonant frequency is _______________