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201.

The electric energy required to raise the temperature of a given amount of water is 1000 kWh. If heat losses are 25%, the total heating energy required is __________ kWh.

Answer» Total heating energy required = 1000 kWh + 25% of 1000 kWh.
202.

If = 110 sin (ω + /3) and = 5 sin (ω - /3), the impedance of the circuit is

Answer»
203.

Ohm's law is valid for

Answer» KCL and KVL are valid for voltages and currents of all wave shapes during transient as well as steady state conductions.
204.

The dc voltage applied to an R-L series circuit is suddenly changed from V to V. The expression for transient current is

Answer» The final steady state current is and transient term must depend on both V1 and V2.
205.

One ampere means the flow of

Answer» As per definition one ampere means 1 coulomb per second.
206.

As the diameter of a wire is doubled, the resistance becomes

Answer» Since diameter is doubled, area of cross-section becomes four times and resistance is inversely proportional to area of cross-section.
207.

A series resonant circuit has R = 10 Ω, L = 1 μH and C = 1 mF. If R is increased to 20 Ω the resonant frequency

Answer» fr depends only on L and C.
208.

In figure, V =

Answer» Use superposition theorem.
209.

In figure, the effective resistance across AB is

Answer» Convert the inner star into delta.
210.

When R and C are connected in parallel, phase angle of Y is positive.

Answer» I = YV. Since I leads V, phase angle of Y must be positive.
211.

An RLC series circuit is excited by an ac voltage = 1 sin. If L = 10 H, C = 0.1 F peak value of voltage across R is

Answer» It is a series resonant circuit and peak voltage across R is equal to peak value of source voltage.
212.

If all other parameters are the same, a capacitor with mica as dielectric has higher capacitance than air capacitor.

Answer» C ∝ ∈r .
213.

If V = 100 ∠ 16°, the is

Answer»
214.

In the circuit shown, the steady state is reached with S open S is closed at = 0, the current I in the 1 Ω resistor connected is to be determined at = 0 is given by

Answer» If steady is reached L will be short circuited the current in 1 Ω resistor I = 4/2 2A. It will act as current source in parallel with inductor. Now apply superposition theorem consider 4 volt source, current source will be open and inductor also open. Current in R' = 1 Ω resistor = 2A. When current source consider, voltage source will be short circuited and current due to inductor is 1A in opposite direction. Total current 2 - 1 = 1 A.
215.

The value of the inductance of coil in which a current increases linearly from zero to 0.1A in 0.2 second producing a voltage of 5 volts is __________ .

Answer» 10 = L L = 10 H.
216.

The purpose of earthing electric appliances is

Answer» Earthing prevents electric shock because the fault current flows through the earth conductor and not through body.
217.

Three impedances (3 + 4) Ω each are connected in star. The impedances of equivalent delta circuit will be

Answer»
218.

Find V in the circuit

Answer» There is no independent source hence VTH = 0.
219.

In an R-L-C series circuit, R = 2/ . If R is doubled

Answer» Increase of resistance increases damping.
220.

The Gaussian filter characteristic figure is realizable.

Answer» It is realizable because |log|H(jω)|| = ω2.
221.

A coil of resistance R and inductance L is connected in series with 10 mF capacitor. The resonant frequency is 1000 Hz. Another 10 F capacitor is connected in parallel with the above capacitor. The new resonance frequency will be

Answer» Total capacitance increases and therefore ωr decreases.
222.

The circuit is figure, is in steady state with switch closed. At = 0 switch is opened. The current is

Answer» The initial current through inductance is
223.

The voltage of the source in circuit shown __________ if () = - 20 is

Answer» Voltage across capacitor = i(t) x 1 - 20 e-2t Current across capacitor = 120 e-2t Source current Is = iC (t) + iR(t) 120 e-2t - 20e-2t 100 e-2t VR = 100 e-2t 33.33 e-2t, Vs = 100 e-2t - 20 e-2t - 33.33 e-2t Vs = 46.6 e-2t volt.
224.

In an underdamped RLC series circuit, the natural frequency is ω. The frequency of damped oscillations is

Answer» In underdamped circuit the frequency of oscillations is less than resonant frequency.
225.

The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in the figure is

Answer» L = L1 + L2 - 2M because currents are opposing.
226.

A dc network has 3 independent nodes and 4 loops. In total analysis, the number of equations is

Answer» The number of nodal equations is one less than the number of independent nodes.
227.

In the circuit, S was initially open. At time = 0, S is closed. When the current through the inductor is 6 A, the rate of change of current through the resistor is 6 A/s. The value of the inductor would be

Answer» i = 18(1 - e-t/L) ...(1) 6 = 8 (1 - e-t/L) 1 = 3 (1 - e-t/L) 1 = 3 - 3 e-t/L e-t/L = 2/3 from (1) .
228.

A current of 1 A in the coil of an iron cored electromagnet causes B = 0.5T. If current is 2A, B =

Answer» If saturation starts B will be less than it.
229.

Two current sources each of rms value 10 A have frequencies 40 Hz and 50 Hz respectively. They are connected in series, the expression for resultant wave is

Answer» Peak value = 14.14 A; ω1 = 2p x 40, ω2 = 2p x 50
230.

To find the current in a 20 Ω resistance connected in a circuit, Norton's theorem is used. I = 7.5 A. The current though 20 Ω resistance.

Answer» Norton's equivalent is as shown in figure. Some current will flow through RN. There-fore, current through 20Ω resistance is less than 7.5 A.
231.

While calculating Norton's resistance, all current sources are short circuited.

Answer» All current sources are open circuited.
232.

If V = 4 in the figure, the value of I is given by

Answer» At node V1 at node V2 2V2 - V1 = 0 V1 = 2V2 V2 = 4 V1 = 8 Is = x 8 - 4 = 6A.
233.

A series circuit has R = 5 Ω and C = 10 μF. It is switched on to a 12 V dc battery at = 0. The current in the circuit will be maximum

Answer» In RC circuit excited by a dc battery of voltage E, and is maximum at t = 0+.
234.

A heater is rated at 230 V, 5 A AC. Then

Answer» In heaters, the ratings are specified in terms of rms values.
235.

KCL is a statement of principle of conservation of energy.

Answer» KCL is restatement of principle of conservation of charge.
236.

Two passive elements are connected in series and a dc voltage is applied to the circuit. The time variation of the current is shown in figure. The two elements are

Answer» In an RL circuit excited from dc source the current rises exponentially with a time constant
237.

Which statement is incorrect for parallel resonance?

Answer» At parallel resonance Z is maximum and Y is minimum.
238.

If a capacitor is charged by a square wave current source the voltage across the capacitor is

Answer» Capacitor will behave as integrator.
239.

The equivalent resistance between terminals and figure is

Answer» Use star-delta conversion.
240.

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

Answer» ωn = 10 2 ζωn = 4 ζωn = 2, and ζ =0.2 ωr = ωn1 - ζ2 ωr = 10 1 - ζ2 10 Bandwidth = 4 By comparing the formula then Bandwidth is equal to a.
241.

The temperature coefficient of copper is 0.00393 at 20° C. At 50° C the temperature coefficient is

Answer» The temperature coefficient decreases slightly with increase in temperature. The equation is
242.

To determine the polarity of voltage drop across a resistor, it is sufficient to know

Answer» Polarity of voltage depends only on direction of current and nothing else.
243.

A sawtooth current wave is passed through a resistance

Answer» V = IR and P = I2R. Therefore, waveshape of V is the same as that of I but waveshape of P is different.
244.

In the circuit, V = 10 cos ω, power drawn by the 4Ω resistor is 8 watt. The power factor is

Answer» I2m = P/R Im = 2 Total power drawn = I2R x 2 x [4 + 2] 6 VmIm cos θ = 6 x 10 x 2 x PF = 6 P.F = 0.85 .
245.

The current voltage relation for an inductance L is

Answer»
246.

A band elimination constant filter has series resonant circuit in series arms.

Answer» It has parallel resonant circuit in series arms.
247.

A series RLC circuit is at resonance at 200 Hz. If capacitance is increased to four times, the circuit will be in resonance at

Answer» . If C becomes four times, f is reduced to half.
248.

If the L.T. of the voltage across a capacitor of value 1/3 F is , then the value of the current through the capacitor at = 0 is

Answer» t → 0+ s → ∞ and s3 >> s2 >> s >> 1 .
249.

In figure, the current I is

Answer» I4 = I1 + I2 + I3 or I4 = 5∠90° + 5∠0 + 5∠180° = 5∠90°.
250.

For the circuit shown in the figure, the current I is

Answer» V must be given.