Question

A 120 V, 20 Hz source is connected to a series circuit consisting of 5 ohm capacitive reactance, a 1.6 ohm resistor
and a coil with resistance and inductive reactance of 3-ohm and 1.2-ohm respectively. Calculate (a) the input
impedance (b) the circuit current

Answer 1

Answer:

have it mate

Explanation:

Given:-

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