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A source is delivering maximum power to a resistance through a network. The ratio of power delivered to the source power

A source is delivering maximum power to a resistance through a network. The ratio of power delivered to the source power

A source is delivering maximum power to a resistance through a network. The ratio of power delivered to the source power

(a) is always 0.5
(b) may be 0.5 or less
(c) may be 0.5 or less or more
(d) may be 0.5 or more

Ans. (b) may be 0.5 or less 
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Two capacitors of 1 μF and 2 μF are connected in series across a 30 V dc battery. After the capacitors have been charged, the charges across the two capacitors will be

Two capacitors of 1 μF and 2 μF are connected in series across a 30 V dc battery. After the capacitors have been charged, the charges across the two capacitors will be

Two capacitors of 1 μF and 2 μF are connected in series across a 30 V dc battery. After the capacitors have been charged, the charges across the two capacitors will be____.

(a) 10 μC each
(b) 20 μC each
(c) 10 μC and 20 μC
(d) 20 μC and 10 μC

Ans.  (b) 20 μC each
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Two capacitors of 1 μF and 2μF capacitance are connected in parallel across a 30 V dc battery. After the capacitors have bean charged, the charges across the two capacitors will be

Two capacitors of 1 μF and 2μF capacitance are connected in parallel across a 30 V dc battery. After the capacitors have bean charged, the charges across the two capacitors will be

Two capacitors of 1 μF and 2μF capacitance are connected in parallel across a 30 V dc battery. After the capacitors have bean charged, the charges across the two capacitors will be____.


(a) 30 μC each
(b) 60 μC each
(c) 30 μC and 60 μC respectively
(d) 60 μC and 30 μC respectively


Ans. (c) 30 μC and 60 μC respectively 
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Two capacitor each of capacitance C and breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination is

Two capacitor each of capacitance C and breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination is

Two capacitor each of capacitance C and breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination is


(a) 0.5 C and 2 V
(b) 0.5 C and 0.5 V
(c) C and V
(d) 2 C and 2 V

Ans. (a) 0.5 C and 2 V 
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Two Two-port networks are connected in cascade. The combination is to the represented as a single two – port network, by multiplying the individual

Two Two-port networks are connected in cascade. The combination is to the represented as a single two – port network, by multiplying the individual

Two Two-port networks are connected in cascade. The combination is to the represented as a single two – port network, by multiplying the individual


(a) z-parameter matrices
(b) h-parameter matrices
(c) y-parameter matrices
(d) ABCD parameter

Ans. (d) ABCD parameter
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The current, i(t), through a 10-Ω resistor in series with an inductance, is given by i(t) = 3 + 4 sin (100 t + 450 ) + 4 sin (300 t + 600 ) amperes. The RMS value of the current and the power dissipated in the circuit are:

The current, i(t), through a 10-Ω resistor in series with an inductance, is given by i(t) = 3 + 4 sin (100 t + 450 ) + 4 sin (300 t + 600 ) amperes. The RMS value of the current and the power dissipated in the circuit are:

The current, i(t), through a 10-Ω resistor in series with an inductance, is given by i(t) = 3 + 4 sin (100 t + 450 ) + 4 sin (300 t + 600 ) amperes. The RMS value of the current and the power dissipated in the circuit are:


(a) √41A, 410 W, respectively
(b) √35 A, 350 W, respectively
(c) 5 A, 250 W, respectively
(d) 11 A, 1210 W respectively

Ans.   5 A, 250 W, respectively 
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Consider a DC voltage source connected to a series R-C circuit. When the steady state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to ________.

Consider a DC voltage source connected to a series R-C circuit. When the steady state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to ________.

Consider a DC voltage source connected to a series R-C circuit. When the steady state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to ________.

(a) 0.362
(b) 0.500
(c) 0.632
(d) 1.000


Ans.  (b) 0.500
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A series LCR circuit consisting of 𝑅 = 10 Ω, |𝑋𝐿 | = 20 Ω 𝑎𝑛𝑑 |𝑋𝐶 | = 20 Ω is connected across an a.c. supply of 200 V rms. The rms voltage across the capacitor is

A series LCR circuit consisting of 𝑅 = 10 Ω, |𝑋𝐿 | = 20 Ω 𝑎𝑛𝑑 |𝑋𝐶 | = 20 Ω is connected across an a.c. supply of 200 V rms. The rms voltage across the capacitor is

A series LCR circuit consisting of 𝑅 = 10 Ω, |𝑋𝐿 | = 20 Ω 𝑎𝑛𝑑 |𝑋𝐶 | = 20 Ω is connected across an a.c. supply of 200 V rms. The rms voltage across the capacitor is....

(a) 200∠ − 900 𝑉
(b) 200∠ + 900 𝑉
(c) 400∠ + 900 𝑉
(d) 400∠ − 900 V

Ans. (d) 400∠ − 900 V


For a series LCR circuit
𝒁 = 𝑹 + 𝒋𝑿𝑳 − 𝒋𝑿𝑪 
𝒔𝒊𝒏𝒄𝒆 𝑿𝑳 = 𝑿𝑪, 𝒁 = 𝑹
 𝑰 = 𝑽 𝑹 = 𝟐𝟎𝟎 𝟏𝟎 = 𝟐𝟎𝑨

 The voltage across the capacitor = 𝑰. (−𝒋𝑿𝑪 ) 
                                                      = 𝟐𝟎. (−𝒋𝟐𝟎)
                                               = −𝟒𝟎𝟎𝒋 
                                                         = 𝟒𝟎𝟎∠ − 𝟗𝟎𝟎
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A load, ZL=RL+jXL is to be matched, using an ideal transformer, to a generator of internal impedance, ZS=RS+jXS . The turns ration of the transformer required is

A load, ZL=RL+jXL is to be matched, using an ideal transformer, to a generator of internal impedance, ZS=RS+jXS . The turns ration of the transformer required is

A load, ZL=RL+jXL is to be matched, using an ideal transformer, to a generator of internal impedance, ZS=RS+jXS . The turns ration of the transformer required is

(a) √|𝑍𝐿/𝑍𝑆 |
(b) √|𝑅𝐿/𝑅𝑆 |
(c) √|𝑅𝐿/𝑍𝑆 |
(d) √|𝑍𝐿/𝑅𝑆 |

Ans.  (a)  √|𝑍𝐿/𝑍𝑆 |
  𝒁𝑳/𝒁𝑺 = ( 𝒏𝟐/𝒏𝟏 )^2  
or 
𝒏𝟐/𝒏𝟏 = √ 𝒁𝑳/𝒁𝑺
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If an impedance ZL is connected across a voltage source V with source impedance ZS then for maximum power transfer, the load impedance must be equal to....

If an impedance ZL is connected across a voltage source V with source impedance ZS then for maximum power transfer, the load impedance must be equal to....

If an impedance ZL is connected across a voltage source V with source impedance ZS’ then for maximum power transfer, the load impedance must be equal to.....



  1. source impedance ZS
  2. real part of ZS
  3. complex conjugate of ZS
  4. imaginary part of ZS

Ans. 2. real part of ZS [According to maximum power transfer 𝒁𝑳 = 𝒁𝑺]
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