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When a series combination of inductance and resistance are connected with a 10 V, 50 Hz AC source, a current of 1 A flows in the circuit. The voltage leads the current by a phase angle of

3

π

radian. Calculate the values of resistance and inductance.

Medium

Solution

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Given : V

rms

=10 V I

rms

=1 A ϕ=

3

π

f=50 Hz

Impedance Z=

I

rms

V

rms

=

1

10

=10Ω

Using cosϕ=

Z

R

Or cos

3

π

=

10

R

⟹ R=5Ω

Using Z

2

=R

2

+(2πf L)

2

Or 10

2

=5

2

+(2π×50×L)

2

⟹ L=28 mH