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351.

The frame of electric motor is connected to three plates having earthing resistance of 10 Ω, 20 Ω and 30 Ω respectively. The materials of the three plates are copper, aluminium and iron respectively. The percentage of energy dissipated by 10 Ω earthing plate

Answer» The parallel combination of 30 Ω and 20 Ω is 12 Ω. Since 12 Ω and 10 Ω are in parallel, the 10 ohm plate draws more than 50% current and dissipates more than 50% energy.
352.

In the circuit of figure, the power consumed in resistance R is measured when one source is acting at one time. These values are 18 W, 50 W and 98 W. When all source act together the maximum and minimum power can be

Answer» Let R = 1 Ω. Then I1 = 32 A, I2 = 52 A and I3 = 72 A. (I1 + I2 + I3)2 R = (152)2 R = 450 Ω.
353.

An RL series circuit has an impedance of 20 Ω when frequency is 25 Hz. At = 50 Hz, the impedance will be

Answer» Z = R2 + XL2. When frequency is doubled, XL becomes twice but R remains the same.
354.

In figure, the voltmeter is ideal. The transformer has two identical windings with perfect coupling. The reading of voltmeter is

Answer» The secondary voltage is equal to primary voltage and the two voltages oppose each other.
355.

The resistance of the circuit shown is figure is

Answer» The parallel combination of 3, 5 and 4 ohm is short-circuited. Therefore their net resistance is zero.
356.

In an R-C circuit, the impedance is 40 Ω at a frequency of 100 Hz. At 200 Hz the impedance should be

Answer» Since frequency is doubled, becomes one-fourth but R2 remains the same.
357.

An RLC series circuit is fed form 100 V ac supply. Inductance is 1 H and Q = 7.5. At resonance, the voltage across inductance is

Answer» Voltage across inductance at resonance = QV = 7.5 X 100 V.
358.

When cells having different emfs are connected in parallel, a circulating current flows.

Answer» To avoid circulating current cells in parallel should be identical.
359.

The self inductances of two coils are 27 H and 3 H. If the winding or coils is such that 50% of flux of one links the other, the mutual inductance is

Answer» M = 0.5(27 x 3)
360.

In a lead acid cell, the positive plate has spongy lead.

Answer» The positive plate has lead peroxide.
361.

The rms voltage measured across each of the circuit element in figure is as shown, when the circuit is excited by a sinusoidal voltage E, the rms value of the source voltage is

Answer» Voltage across C = -10jv Voltage across L = + 14 jv source voltage Es = VR + jVL - jVC = 3 + j. 14 - j. 10 3 + j4 rms of Es = VR2(VL - VC)2 = 32 + 42 5 volt.
362.

For H() to be positive real, the condition Re[H(ω)] ≥ 0 for 0 ≤ ω ≤ ∞ is

Answer» H(s) must possess two more properties if it is positive real.
363.

In the circuit, shown the current I marked is given by

Answer» When 9 V source is connected, 2V source is short circuited [Superposition Theorem]. I' = 9/4.5 = 2 A, I1 = 1.5 A when 2 volt source is connected, then Req = 4.5 I2 = 0.22 A I = I1 + I2 = 0.66 A.
364.

In a specimen of cast iron, a field strength of 400 AT/m cause a flux density of 0.6 T. In a specimen of silicon steel, the same value of H would cause B to be

Answer» Since μr for silicon steel is more than that of cast iron, flux density will be more than 0.6 T.
365.

Volt is equivalent to

Answer»
366.

A two branch parallel tuned circuit has a capacitance C in one of the two branches and resistance R in second branchs. As C is decreased the dynamic resistance

Answer» Dynamic resistance = and increases as C is decreased.
367.

A system function the resonant frequency in rad/sec and bandwidth in rad/sec is given by

Answer» ωn = 10, ωr 10 B = a 4.
368.

The reading of the voltmeter in figure will be __________ volt.

Answer» Good lamp will short the circuit.
369.

An RLC series circuit has R = 8 Ω, X = 8 Ω and X = 8 Ω Its impedance is

Answer» Z = 8 + j(8 - 8).
370.

Two similar mutually coupled coils have a total inductance of 900 mH and coefficient of coupling 0.5. The self inductance of each coils is

Answer» M = kL1L2, L1 = L2 = L, M = kL. Total inductance = L1 + L2 + 2M = 2L + 2kL = 900 mH or L(2 + 2 x 0.5) = 900 or L = 300 mH.
371.

Flux linkages ψ and voltages are related as

Answer»
372.

Find R for maximum power transfer

Answer» Using y - Δ transformation Req = (9 || 8) 11 (9 || 18) 3Ω.
373.

A low-pass filter frequency responce H (ω) = A (ω) (ω) does not produce any phase distortion, if

Answer» For distortion less transmission line .
374.

In a tungsten filament lamp

Answer» Resistance at the time of switching on is minimum and increases due to increase of temperature.
375.

In figure, capacitor is uncharged. The switch is closed at = 0 at = 0 / is

Answer» RC = 10-3, = 0.1 e-1000t. Therefore at t = 0+ equals -100 A/s.
376.

In a series RLC circuit, R = 2 kΩ, L = 1H and The resonant frequency is

Answer» .
377.

The function of a choke in a fluorescent lamp is

Answer» At the time of starting the choke provides a high voltage. During working there is voltage drop across choke so that lamp gets proper voltage.
378.

A series resonant circuit is fed by a voltage having rms value V. At resonance, the voltage across inductance V and voltage across capacitance V are related as

Answer» At resonance XL = XC. Therefore IXL = IXC or VL = VC.
379.

Calculate () for ≥ 0, assuming the switch has been in position A for a long time at = 0, the switch is moved to position B.

Answer» When switch is in A position, C will be open, t < 0, i(0-) = = 1.11 mA, VC(0-) = 3 k x 3.33 volt at t > 0 i(0+) = 1.11 mA, i(t) = A + B e-at where 5 x 103 at t = 0, A + B = 1.11 t = ∞, A = 0 i(t) = 1.11 e-5 x 103(t) .
380.

The function Z() has a pole at infinity if

Answer» If numerator is one degree higher than denominator z(s) tends to infinity as s tends to infinity.
381.

An input voltage V() = 10 cos ( + 10°) + 10 cos (2 + 10°) is applied to a series combination of resistance R = 1 k&ohm; inductance L = 1H. The resulting steady-state current () in ampere is

Answer» The steady state current i(t) = i1(t) + i2(t) Hence ω1, ω2 = 2.
382.

The switch in figure is initially closed. At = 0 the switch is opened. At = 0, the current through inductance is

Answer» At t = ∞ inductance behaves as open circuit.
383.

A constant low pass T section filter has a characteristic impedance of 600 at zero frequency. At = the characteristic impedance is

Answer» Z0T = R0(1 - f2 / fc2)0.5. At f = f0. Z0T = 0.
384.

For a network having 1 &ohm; resistor and 1 F capacitor in series Z() =

Answer»
385.

In given figure the switch was closed for a long time before opening at = 0. The voltage V at = 0 is

Answer» at t = 0, L will act as short circuit hence I = 2.5 A. Vx = 2.5 x 20 50v, but in opposite to current source. Hence Vx = - 50v.
386.

The ac bridge shown in the figure is balanced if and Z is equal to

Answer» = 375 ∠ - 40 - 30.
387.

S is open for a long time and steady state is reached S is closed at = 0. Let the current in the inductor At = 0, is given by

Answer» If S is open, for long time then C will be short circuited, voltage across 2&ohm; resistor = 2 volt (V0)
388.

In an air cored coil, a current of 0.7 A causes a flux of 5 x 10 Wb. If the core is made of cast iron and the coil is similar, the same current can set up a flux of about

Answer» The permeability of cast iron is about 100.
389.

The resonant frequency of the circuit shown in figure is

Answer» Leq = L1 + L2 + 2m = 1 + 2 + 2 x = 4 .
390.

For the circuit shown in the figure, the time constant RC = 1 ms. The input voltage is V() = sin 10 . The output voltage V() is equal to

Answer» V0(t) = i(t) . jωc
391.

Bus bars are always meant for very heavy currents.

Answer» Bus bars are used for heavy as well as light currents.
392.

A thermal power plant has an efficiency of 0.4. If 0.6 kg of coal is burnt to generate 1 kWh, the calorific value of coal is

Answer» Therefore, calorific value =
393.

An RC series circuit has R = 20 &ohm; and X = 20 &ohm;. Then Z =

Answer» Z = 202 + 202 = 28.28 ohm.
394.

An inductance having X = 5 &ohm; and a capacitance having X = 5 &ohm; are connected in parallel across 100 V, 50 Hz supply. The current drawn from source is

Answer» The total current is
395.

The circuit shown in figure, will act as an ideal current source with respect to terminals A and B, when frequency is

Answer» to find the frequency. Put XC + XL = 0.
396.

The realization of a term in the impedance function will give

Answer» Impedance of capacitance
397.

An RL admittance function can also be realized as

Answer» RL admittance function and RC impedance function have similar forms.
398.

Current having waveform in figure flows through 10 &ohm; resistance. Average power is

Answer» RMS current = = 5.773 A, P = I2R = 333.3 W.
399.

S is closed for a long time and steady state is reached. S is opened at (0). The voltage marked V is V at = 0 and V at = ∞. Then value of V and V are respectively

Answer» For Thevenin Equivalent Resistance, v = 0, I = 0 .
400.

Two voltages are = 100 sin (ω + 15°) and = 60 cosω, then

Answer» v1 = 100 sin (ωt + 15°) and v2 = 60 cos ωt = 60 sin (ωt + 90°). Hence, v2 is leading v1 by (90 - 15) = 75°.