Question

Question 15. A 100 uF capacitor in series with a 40 resistance is
onnected to a 110 V, 60 Hz supply.
(a) What is the maximum current in the circuit?
(b) What is the time lag between the current maximum and the voltage
maximum?
olution Given, capacitance of capacitor C = 100 uF = 100 x10-6 F
resistance R = 40 S2
IH
wun
C
R
110 V​

Answer 1

Answer:

Answer

(a)

ω=2πf=120π rad/s

Z

2

=R

2

+

ω

2

C

2

1

⟹Z≈48 Ω

V

0

=V

2

=110

2

I

o

=V

o

/Z=3.24A

(b)

tanϕ=

R

1/ωC

=0.6635

ϕ=33.56π/180 rad

Time lag is ϕ/ω=1.55ms