# SSC JE Basic Electrical Questions (2009 – 2018) Solved (Part-3)

Ques.41. A resistance and another circuit element are connected in series across a dc voltage V. The voltage and zero after time. The other element is pure (SSC-2012)

1. Capacitance
2. Both (a) and (c)
3. Resistance
4. Inductance

Explanation:-

## Why inductor behaves as a short circuit for DC voltage?

An inductor has a reactance equivalent XL = 2πfL. Since a DC supply will have frequency = 0, the reactance is 0 and the inductor would be short.

Detail explanation

Imagine a circuit of three elements in the series – an input voltage source, inductor, and resistive load. The input source has been producing some constant (DC) voltage; If an inductor is connected with the DC source, it will not act as inductor but acts like a simple resistor. The current through it will depend on the resistance of the inductor. Now increase the input voltage to a higher value.

The inductor immediately converts the voltage change to an equivalent “anti-voltage” and applies it contrary to the input voltage change, the voltage “produced” by the inductor “jumps” with a magnitude equal to the input voltage change. Thus we have two voltage sources (an “original” and “cloned”:) contrary connected in series and neutralizing each other; as a result, the total (effective) voltage and accordingly the current do not change. After that, the current will increase exponentially (1 – e-t) and reach a constant value. The current will be maximum and the inductor will behave like a short circuit.

Ques.42. For RLC series resonance the current is (SSC-2012)

2. Minimum at Lagging P.F
3. Maximum at unity P.F

Explanation:-

The total impedance of the series LCR circuit is given as

Z = R + j (X1 – X²)

where X1 is inductive reactance

and X2 is capacitive reactance.

At a particular frequency (resonant frequency), we find that X1=Xbecause the resonance of a series RLC circuit occurs when the inductive and capacitive reactances are equal in magnitude but cancel each other because they are 180 degrees apart in phase. Therefore, the phase angle between voltage and current is zero and the power factor is unity.

Thus, at the resonant frequency, the net reactance is zero because of X1=X2. The circuit impedance Z becomes minimum and is equal to the resistance R. “Since the impedance is minimum, the current will be maximum”.

Ques.43. A series RLC circuit resonance at 1 MHZ. At frequency 1.1 MHZ the circuit impedance will be (SSC-2012)

1. Resistive
2. Will depend on the relative amplitude of RLC
3. Capacitive
4. Inductive

Explanation:-

For the Series RLC circuit if the frequency is greater than the resonance frequency than the circuit behaves as an inductive circuit.

Ques.44. The equivalent resistance between terminal X and Y of the network shown is (SSC-2012)

1. 100/3Ω
2. 40/3Ω
3. 20/9Ω

Explanation:-

As the given circuit is Wheatstone bridge balance circuit

Therefore according to balanced equation of Wheatstone bridge

Req = 20||40

= (20 x 40)/(20 + 40)

= 40/3Ω

Ques.45. Application of Thevenin’s theorem in a circuit results in (SSC-2012)

1. An ideal voltage source
2. An ideal current source
3. A current source and impedance in parallel
4. A voltage source and impedance in series

Answer.4. A voltage source and impedance in series

Explanation:-

The Thevenin equivalent resistance Rs is viewed from the open terminals A and B is given as. As per Thevenin theorem, when resistance RL is connected across terminals A and B, the network behaves as a source of voltage Vs and internal resistance RT and this is called Thevenin equivalent circuit.

Ques.46. Three resistance 5Ω each are connected in star, values of equivalent delta resistance are (SSC-2012)

1. 1.5 Ω each
2. 2.5 Ω each
3. 5/3 Ω each
4. 15 Ω each

If three resistance each of the value R is connected in delta formation. Then the equivalent delta connection will have three resistance of equal value which is 3R.

In the above question, Individual resistance in Star connection = 5Ω

Individual resistance in Delta connection = 3 x 5 = 15Ω

Ques.47. A 120 V, 60 W incandescent lamp has to be operated from 220 V, 50c/s, 1 Phase AC supply. In order to do, this a circuit element has to be connected in series with the lamp. Which one of the following elements is preferable? (SSC-2012)

1. Pure Capacitance
2. Pure Inductance or capacitance
3. Resistance
4. Pure Inductance

Explanation:-

Series capacitors are generally employed to improve the stability of the system and to increase the voltage rating.

We know that the reactance of a capacitor is given as

Rc = 1/2πfc

For an A.C. source, frequency, f > 0 i.e Rc = 1/2πfc > 0 which means that a capacitor offers a constant resistance in A.C. circuit i.e. it allows the lamp to glow continuously.

In the case of Inductance, the brightness of the lamp will depend upon the number of turns in the inductor.

Ques.48. The bandwidth of an AC series circuit consisting of R, L and C is (SSC-2012)

1. L/R
2. R/2πL
3. L/RC
4. RC/L

Explanation:-

Bandwidth is defined as the frequencies at which the power in the circuit is half of its maximum value.

The bandwidth of  series RLC circuit

Bandwidth =(f2 – f1) = R/2πL

Where f1 is called lower half frequency

f2 is called as upper half frequency

Ques.49. For a balanced 3-phase supply system, the phasor sum of the line current is NOT zero if the load is (SSC-2012)

1. Balanced Delta connected
2. Unbalanced Delta connected
3. Balanced star connected
4. Unbalanced star connected

Explanation:-

In case of delta connection, whether the load is balanced or unbalanced the phasor sum of the line current is always zero.

But in case of star connection, the phasor sum of the line current is not zero for unbalanced load but is equal to neutral current.

Ques.48. At series resonance of an RLC circuit, the impressed voltage is (SSC-2012)

1. Equal to the resistive drop
2. Equal to the capacity drop
3. Greater than the resistive drop
4. Equal to the inductive drop

Answer.1. Equal to the resistive drop

Explanation:-

At a particular frequency (resonant frequency),  X1=X2 because the resonance of a series RLC circuit occurs when the inductive and capacitive reactances are equal in magnitude but cancel each other because they are 180 degrees apart in phase.
Thus, at the resonant frequency, the net reactance is zero because of X1=X2.

The circuit impedance Z becomes minimum and is equal to the resistance R. Impressed voltage is also called as applied voltage therefore at series resonance RLC  circuit the impressed voltage or applied voltage is equal to the voltage across R.

Ques.49. In a series RLC circuit R 20Ω, XL = 30Ω and Xc =30Ω. If the supply voltage across the combination is v = 100sin(100πt + 30° ) volts, the instantaneous current and the power factor of the circuit are respectively (SSC-2012)

1. I = 3.536 sin(100πt + 30° ) Amp, p.f =0.866
2. I = 5 sin(100πt + 30° ) Amps, p.f = unity
3. I = 3.536 sin(100πt + 30° ) Amps, p.f = unity
4. I = 5 sin(100πt + 30° ) Amps, p.f = 0.866

Answer.2. I = 5 sin(100πt + 30° ) Amps, p.f = unity

Explanation:-

Given R = 20Ω

XL = 30Ω

Xc = 30Ω

At series RLC circuit

tanΦ = (XL – Xc)/R

= 30 – 30/20 = 0

or cosΦ =1

Impedance of RLC circuit

Z = 20Ω

I = V/Z

I =  100sin(100πt + 30° )/20

I = 5 sin(100πt + 30° ) Amp at unity power factor.

Ques.50. The RMS of the alternating current given by the equation i = 50 sin(314t – 10°) + 30 sin (314 t – 20°) (SSC-2012)

1. 41.23 A
2. 58.31 A
3. 38.73 A
4. 77. 43 A