 
			 
			MCQOPTIONS
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				This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Network Theory knowledge and support exam preparation. Choose a topic below to get started.
| 1. | A 50 μF capacitor, when connected in series with a coil having resistance of 40Ω, resonates at 1000 Hz. The circuit is in resonating condition. The voltage across the coil is __________ | 
| A. | 100.31 V | 
| B. | 200.31 V | 
| C. | 300.31 V | 
| D. | 400.31 V | 
| Answer» B. 200.31 V | |
| 2. | A 50 μF capacitor, when connected in series with a coil having resistance of 40Ω, resonates at 1000 Hz. The circuit current if the applied voltage is 100 V for the resonant circuit is ___________ | 
| A. | 2.5 A | 
| B. | 3.5 A | 
| C. | 4.5 A | 
| D. | 0.5 A | 
| Answer» B. 3.5 A | |
| 3. | An ideal transformer is rated as 2400/120 V, 9.6 kVA and has 50 turns on the secondary side. The number of turns on the primary side is ____________ | 
| A. | 1000 | 
| B. | 2000 | 
| C. | 3000 | 
| D. | 4000 | 
| Answer» B. 2000 | |
| 4. | A 50 μF capacitor, when connected in series with a coil having a resistance of 40Ω, resonates at 1000 Hz. The circuit is in resonating condition. The voltage across the capacitor is __________ | 
| A. | 8.04 V | 
| B. | 7.96 V | 
| C. | 5.68 V | 
| D. | 1.25 V | 
| Answer» D. 1.25 V | |
| 5. | The time constant for the given circuit under resonance condition will be? | 
| A. | \(\frac{1}{9}\) s | 
| B. | \(\frac{1}{4}\) s | 
| C. | 4 s | 
| D. | 9 s | 
| Answer» D. 9 s | |
| 6. | The frequency for the given circuit when the circuit is in a state of resonance will be? | 
| A. | 1 rad/s | 
| B. | 2 rad/s | 
| C. | 3 rad/s | 
| D. | 4 rad/s | 
| Answer» D. 4 rad/s | |
| 7. | In a series circuit with R = 10Ω and C = 25 μF, at what frequency will the current lead the voltage by 30°? | 
| A. | 11.4 kHz | 
| B. | 4.5 kHz | 
| C. | 1.1 kHz | 
| D. | 24.74 kHz | 
| Answer» B. 4.5 kHz | |
| 8. | The RL circuit in the below figure is fed from a constant magnitude, variable frequency sinusoidal voltage source VIN. At 50 Hz, the R and L elements each have a voltage drop Vrms. If the frequency of the source is changed to 25 Hz, the new voltage drop across R is ___________ | 
| A. | \(\sqrt{\frac{5}{8}}\) Vrms | 
| B. | \(\sqrt{\frac{2}{3}}\) Vrms | 
| C. | \(\sqrt{\frac{8}{5}}\) Vrms | 
| D. | \(\sqrt{2}\) Vrms | 
| Answer» D. \(\sqrt{2}\) Vrms | |
| 9. | An ideal capacitor is charged to a voltage V and connected at t=0 across an ideal inductor L. If we take ω = \(\frac{1}{\sqrt{LC}}\), the voltage across the capacitor at time t>0 will be? | 
| A. | V | 
| B. | V cos(ωt) | 
| C. | V sin(ωt) | 
| D. | Ve-ωt cos(ωt) | 
| Answer» C. V sin(ωt) | |
| 10. | The circuit shown in the figure below will act as an ideal source with respect to terminal A and B when the frequency is ___________ | 
| A. | Zero | 
| B. | 1 rad/s | 
| C. | 4 rad/s | 
| D. | 16 rad/s | 
| Answer» D. 16 rad/s | |
| 11. | For the circuit shown in the figure below, the value of R for critical damping will be? | 
| A. | 10.5 Ω | 
| B. | 8.57 Ω | 
| C. | 3.5 Ω | 
| D. | 3 Ω | 
| Answer» C. 3.5 Ω | |
| 12. | In the circuit shown in the figure, if ω = 40 rad/s, then Zin is _____________ | 
| A. | 4.77 – j1.15 Ω | 
| B. | 2.96 – j0.807 Ω | 
| C. | 2.26 – j3.48 Ω | 
| D. | 2.26 – j3.48 Ω | 
| Answer» C. 2.26 – j3.48 Ω | |
| 13. | An ideal transformer is rated as 2400/120 V, 9.6 kVA and has 50 turns on the secondary side. The turns ratio is ____________ | 
| A. | 0.04 | 
| B. | 0.05 | 
| C. | 0.06 | 
| D. | 0.07 | 
| Answer» C. 0.06 | |
| 14. | For a series RLC circuit, excited by voltage V = 20 sinωt. The values of R = 2 Ω, L = 1mH and C = 0.4 µF. The quality factor and bandwidth of the circuit is ______________ | 
| A. | 25, 2 | 
| B. | 30, 5 | 
| C. | 40, 10 | 
| D. | 50, 2 | 
| Answer» B. 30, 5 | |
| 15. | For a series RLC circuit, excited by voltage V = 20 sinωt. The values of R = 2 Ω, L = 1mH and C = 0.4 µF. The resonant frequency of the circuit is ______________ | 
| A. | 20 krad/s | 
| B. | 30 krad/s | 
| C. | 40 krad/s | 
| D. | 50 krad/s | 
| Answer» E. | |