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Question: An inductor of inductance L = 400 mH and resistors of resistance R1 = 2Ω and R2 = 2Ω are connected to a battery of emf 12 V as shown in the figure. The internal resistance of the battery is negligible. The switch S is closed at t = 0. The potential drop across L as a function of time is
- a)
- b)
- c) 12e–5t V
- d) 6e–5t V
Answer: 12e–5t V
Question: A resistor of resistance R, capacitor of capacitance C and inductor of inductance L are connected in parallel to AC power source of voltage ε0 sin ωt. The maximum current through the resistance is half of the maximum current through the power source. Then value of R is
- a)
- b)
- c)
- d) None of these
Answer:
Question: A direct current of 5A is superposed on an alternating current I = 10 sin wt flowing through the wire. The effective value of the resulting current will be
- a) (15/2)A
- b) 5 √3A
- c) 5 √5A
- d) 15 A
Answer: 5 √3A
Question: In the circuit shown below, the ac source has voltage V = 20 cos(ωt) volt with ω = 2000 rad/s. The amplitude of the current will be nearest to
- a) 2A
- b) 3.3A
- c) 2 / √5A
- d) 5A
Answer: 2A
Question: An inductor 20 × 10–3 henry, a capacitor 100μF and a resistor 50Ω are connected in series across a source of EMF V = 10 sin 314t. If resistance is removed from the circuit and the value of inductance is doubled, then the variation of current with time in the new circuit is –
- a) 0.52 cos 314 t
- b) 0.52 sin 314 t
- c) 0.52 sin (314 t + π/3)
- d) None of these
Answer: 0.52 cos 314 t
Question: A sinusoidal voltage of peak value 283 V and frequency 50 Hz is applied to a series LCR circuit in which R = 3Ω, L = 25.48 mH, and C = 796 μF. Find the impedance of the circuit
- a) 5 Ω
- b) 12 Ω
- c) 18 Ω
- d) 22 Ω
Answer: 5 Ω
Question: In an LCR circuit, the voltages across the components are VL, VC and VR respectively. The voltage of source will be
- a) [VR + VL + VC]
- b) [VR 2 + VL 2 + VC 2]1/2
- c) [VR 2 + (VL + VC)2]1/2
- d) [VR 2 + (VL – VC)2]1/2
Answer: [VR 2 + (VL – VC)2]1/2
Question: The r.m.s. value of potential difference V shown in the figure is
- a) V0
- b) V0 /√2
- c) V0/2
- d) V0 √3
Answer: V0 /√2
Question: Which one of the following curves represents the variation of impedance (Z) with frequency f in series LCR circuit?
- a)
- b)
- c)
- d)
Answer:
Question: An alternating voltage V = V0 sin wt is applied across a circuit. As a result, a current I = I0 sin (ωt – π/2) flows in it. The power consumed per cycle is
- a) zero
- b) 0.5 V0I0
- c) 0.707 V0I0
- d) 1.414 V0I0
Answer: zero
Question: A resistance R and inductance L and a capacitor C all are connected in series with an AC supply. The resistance of R is 16 ohm and for a given frequency, the inductive reactance of L is 24 ohm and capacitive reactance of C is 12 ohm. If the current in the circuit is 5 amp., find the potential difference across R, L and C.
- a) 30, 20, 50 volt
- b) 40, 100, 60 volt
- c) 70, 110, 60 volt
- d) 80, 120, 60 volt
Answer: 80, 120, 60 volt
Question: The instantaneous current from an a.c. source is I = 6 sin 314 t. What is the rms value of the current ?
- a) 3 √2 amp
- b) 2 √2 amp
- c) √2 amp
- d) 2 amp
Answer: 3 √2 amp
Question: A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be
- a) 4.0 A
- b) 8.0 A
- c) 7.2 A
- d) 2.0 A
Answer: 4.0 A
Question: The primary winding of a transformer has 100 turns and its secondary winding has 200 turns. The primary is connected to an A.C. supply of 120 V and the current flowing in it is 10 A. The voltage and the current in the secondary are
- a) 240 V, 5 A
- b) 240 V, 10 A
- c) 60 V, 20 A
- d) 120 V, 20 A
Answer: 240 V, 5 A
Question: A resistance of 400Ω is connected in series with an inductor of (3/π) H and this combination is connected across an A.C. source as shown in figure
- a) In the circuit, peak value of current is
A - b) In the circuit, potential difference across resistance is in same phase with the current
- c) In the circuit, potential difference across inductor is 53º leading with current
- d) In the circuit, potential difference across inductor is 37º leading with current
Answer: In the circuit, potential difference across resistance is in same phase with the current
Question: Which of the following curves correctly represents the variation of capacitive reactance (Xc) with frequency n –
- a)
- b)
- c)
- d)
Answer:
Question: If I = I0 sin (ωt – π/2), and E = E0 sinwt then the power loss is
- a)
- b)
- c)
- d) Zero
Answer: Zero
Question: A resistance R and inductance L and a capacitor C all are connected in series with an AC supply. The resistance of R is 16 ohm and for a given frequency, the inductive reactance of L is 24 ohm and capacitive reactance of C is 12 ohm. If the current in the circuit is 5 amp., find the potential difference across R, L and C.
- a) 30, 20, 50 volt
- b) 40, 100, 60 volt
- c) 70, 110, 60 volt
- d) 80, 120, 60 volt
Answer: 80, 120, 60 volt
Question: The primary winding of a transformer has 100 turns and its secondary winding has 200 turns. The primary is connected to an A.C. supply of 120 V and the current flowing in it is 10 A. The voltage and the current in the secondary are
- a) 240 V, 5 A
- b) 240 V, 10 A
- c) 60 V, 20 A
- d) 120 V, 20 A
Answer: 240 V, 5 A
Question: A coil has resistance 30 ohm and inductive reactance 20 ohm at 50 Hz frequency. If an ac source, of 200 volt, 100 Hz, is connected across the coil, the current in the coil will be
- a) 4.0 A
- b) 8.0 A
- c) 7.2 A
- d) 2.0 A
Answer: 4.0 A
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MCQs for Alternating Current Physics BITSAT
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