Network Theory Mock Test 10

1. Consider the impedance function, Z(s)=(2s²+8s+6)/(s²+8s+12). Find the value of R₁ after converting into second Cauer form.

2. Consider the impedance function, Z(s)=((s+4)(s+8))/((s+2)(s+6)). Find the value of L₂ after converting into first Cauer form.

3. The driving point impedance of an LC network is given by Z(s)=(s⁴+4s²+3)/(s³+2s). By taking the continued fraction expansion using second Cauer form, find the value of C₃.

4. In the circuit given below, the voltage across the 2Ω resistor is ________

5. The driving point impedance of an LC network is given by Z(s)=(s⁴+4s²+3)/(s³+2s). By taking the continued fraction expansion using second Cauer form, find the value of L₄.

6. A series RLC circuit has a resonant frequency of 550 Hz. The maximum voltage across C is likely to occur at a frequency of ___________

7. Consider the impedance function Z(s)=(s²+6s+8)/(s²+3s). Find the first reminder obtained by taking the continued fraction expansion after performing the second Cauer form.

8. Consider the impedance function Z(s)=(s²+6s+8)/(s²+3s). Find the value of R₁ after performing the second Cauer form.

9. A driving point impedance with zero at ω = 0 and pole at ω = ∞ must have ___________ term in the numerator polynomial.

10. In the circuit given below, the magnitudes of V_L and V_C are twice that of V_K. Calculate the inductance of the coil, given that f = 50.50 Hz.