Question

When a resistor and an inductor in series are connected to 240V, 50Hz ac supply mains, a current 3A flow lagging 37 ° behind the supply voltage while the voltage across the inductor is 172 v determine the resistance of the resistor and the resistance and inductances of the inductor?​

Answer 1

Answer:

Explanation:

phase difference ϕ=35°,R=10Ω

Sum of reactance of inductor and capacitor (X

L

​

+X

C

​

)=17⟶eq

n

(1)

Frequency of applied voltage, f=100Hz

So, angular frequency=2π×100

Now, for LCR circuit, we know

tanϕ=

R

X

L

​

−X

C

​

​

or X

L

​

−X

C

​

=Rtanϕ=10tan35°

X

L

​

+X

C

​

=17 [Using eq.1]

2X

L

​

=17+(10×0.7)

X

L

​

=12

ωL=12

L=

2π100

12

​

=1.9×10

−2

H