Science, asked by sakshirai887, 2 days ago

Consider a circuit in which a coil having inductance of 0.02H and resistance of 5Ω connected across 200V, 50Hz supply in series with a resistance of 5Ω. Considering all parameters with their behavior determine following below:

Evaluate capacitive reactance of the circuit.
Calculate inductive reactance of the circuit.
Determine the power factor of the circuit.
Find total impedance of the circuit.

Answers

Answered by rukhsananaik12
0

Explanation:

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Class 12

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>>Alternating Current

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>>A coil having a resistance ...

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A coil having a resistance of 5Ω and an inductance of 0.02H is arranged in parallel with another coil having a resistance of 1Ω and an inductance of 0.08H. Calculate the power absorbed (in W) when a voltage of 100V at 50Hz is applied.

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Solution

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Correct option is

A

797

X

L

=ωL

1

=(2π×50)(0.02)=6.28Ω

∴Z

1

=

R

1

2

+X

2

L

1

=

(5)

2

+(6.28)

2

=8.0 Ω

P

1

=(I

rms

)

1

V

rms

cosϕ

1

=(

8

100

) (100) (

8

5

)

=781.25 W

∣X

L

2

=ωL

2

=(2π×50)(0.08)=25.13Ω

∴Z

2

=

R

2

2

+X

L

2

2

25.15 Ω

∴P

2

=(i

rms

)

2

V

rms

cosϕ

2

=(

25.15

100

)(100)(

25.15

1

)

=15.8 W

∴P

Total

=P

1

+P

2

=797 W

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