5. A capacitive circuit takes 1055 VARS at a pf of 0.84 from a 200 V, 50 hz source, what will be the value of additional inductance to be inserted in series with the circuit if the overall is to be 0.96 lag?

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Question
5
Directions: Solve the following problems completely. Enclose your final
answer in a BOX.
1. An inductive circuit takes a current of 15 A at 0.78 pf when
connected to a source 250 V, 50 hz mains.. If the circuit is now
connected in series with capacitor of 120 uF supplied by a source
given by E = – 350 sin (550t + 75°) supply. Calculate the current,
power and power factor it draws.
2. A coil having a resistance of 6 W and an inductance of 0.015 H is
connected in series with another impedance having a resistance of
4 W and capacitance of 250 uF. The circuit is supplied by e = -
400 cos (500t – 65°) supply. Determine the total power and pf
factor drawn from the supply and equation of the resulting current?
3. An emf represented by e= - 250 cos (100pt + 37') is impressed
across a circuit consisting of a 6 W resistor and 100 uF capacitor
and 0.0205 H inductor. Determine the expression for the current.
Find the power supplied and power factor of the circuit.
4. A capacitive is draws 8 A at 0.78 lead pf when connected across a
550 V, 50 hz supply. If the circuit is connected in series with a 150
mH inductance supplied by a 440 V, 60 hz source. Find the current
and reactive power drawn?
5. A capacitive circuit takes 1055 VARS at a pf of 0.84 from a 200 V,
50 hz source, what will be the value of additional inductance to be
inserted in series with the circuit if the overall is to be 0.96 lag?
6. A circuit takes a current of 12 A inductive and draws 0.75 reactive
factor when connected to a 250 V, 50 Hz supply. In other circuit
takes a current of 12 A and consumes 1050 VARS capacitive when
connected to a 300 V, 40 Hz. Calculate the current taken and the
total power consumed when two circuits are connected in series
supplied by E= -500 cos (1000t – 35°) Hz supply.
7. A circuit consists of a pure resistance and a coil in series. The
power dissipated in the resistance is 250 W and the drop across it
is 100 V. The reactive power dissipated in the coil is 385 VARS
and the drop across it is 165 V. Find the power factor of the circuit,
parameters of the circuit and the supply voltage.
8. Two coils are connected in series. With 5 A DC through the circuit,
the potential drops across the coils are 35 V and 40 V respectively.
With 7 A at 100 Hz, the potential drops across the coils are 120 V
and 150 V respectively. If the two coils are now connected in
series and supplied by a source e = 400 cos (500t -25°), what will
be the current taken, power and power factor?
9. A coil takes a current of 10 A of 0.76 pf from 250 V, 60 Hz source.
If the coil is used temporarily on a 260 V, 40 Hz source, determine
the value of resistance to be connected in series with the coil to
avoid over current condition.
10. A coil is in series with a capacitor across a 440 V, 50 Hz supply. The
current taken by the circuit is 10 A and the power consumed is 1250 W
and the inductance of the coil is 0.205 H. Calculate the capacitance if
the power factor of the circuit is: a) leading and b) lagging.
11. When supplied with a current at 240 V, single phase at 50 Hz a
certain circuit takes 15 A. If the frequency of supply is changed to
60 Hz, the circuit takes 12 A. Calculate the parameters of the
circuit.
12. A resistance, inductance and a capacitance of 120uF are connected
Transcribed Image Text:Directions: Solve the following problems completely. Enclose your final answer in a BOX. 1. An inductive circuit takes a current of 15 A at 0.78 pf when connected to a source 250 V, 50 hz mains.. If the circuit is now connected in series with capacitor of 120 uF supplied by a source given by E = – 350 sin (550t + 75°) supply. Calculate the current, power and power factor it draws. 2. A coil having a resistance of 6 W and an inductance of 0.015 H is connected in series with another impedance having a resistance of 4 W and capacitance of 250 uF. The circuit is supplied by e = - 400 cos (500t – 65°) supply. Determine the total power and pf factor drawn from the supply and equation of the resulting current? 3. An emf represented by e= - 250 cos (100pt + 37') is impressed across a circuit consisting of a 6 W resistor and 100 uF capacitor and 0.0205 H inductor. Determine the expression for the current. Find the power supplied and power factor of the circuit. 4. A capacitive is draws 8 A at 0.78 lead pf when connected across a 550 V, 50 hz supply. If the circuit is connected in series with a 150 mH inductance supplied by a 440 V, 60 hz source. Find the current and reactive power drawn? 5. A capacitive circuit takes 1055 VARS at a pf of 0.84 from a 200 V, 50 hz source, what will be the value of additional inductance to be inserted in series with the circuit if the overall is to be 0.96 lag? 6. A circuit takes a current of 12 A inductive and draws 0.75 reactive factor when connected to a 250 V, 50 Hz supply. In other circuit takes a current of 12 A and consumes 1050 VARS capacitive when connected to a 300 V, 40 Hz. Calculate the current taken and the total power consumed when two circuits are connected in series supplied by E= -500 cos (1000t – 35°) Hz supply. 7. A circuit consists of a pure resistance and a coil in series. The power dissipated in the resistance is 250 W and the drop across it is 100 V. The reactive power dissipated in the coil is 385 VARS and the drop across it is 165 V. Find the power factor of the circuit, parameters of the circuit and the supply voltage. 8. Two coils are connected in series. With 5 A DC through the circuit, the potential drops across the coils are 35 V and 40 V respectively. With 7 A at 100 Hz, the potential drops across the coils are 120 V and 150 V respectively. If the two coils are now connected in series and supplied by a source e = 400 cos (500t -25°), what will be the current taken, power and power factor? 9. A coil takes a current of 10 A of 0.76 pf from 250 V, 60 Hz source. If the coil is used temporarily on a 260 V, 40 Hz source, determine the value of resistance to be connected in series with the coil to avoid over current condition. 10. A coil is in series with a capacitor across a 440 V, 50 Hz supply. The current taken by the circuit is 10 A and the power consumed is 1250 W and the inductance of the coil is 0.205 H. Calculate the capacitance if the power factor of the circuit is: a) leading and b) lagging. 11. When supplied with a current at 240 V, single phase at 50 Hz a certain circuit takes 15 A. If the frequency of supply is changed to 60 Hz, the circuit takes 12 A. Calculate the parameters of the circuit. 12. A resistance, inductance and a capacitance of 120uF are connected
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