MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Alternating Current Applied to an Inductor

A series RC c...

Question

A series RC circuit has $R = 50 Ω$ and C = 20 mF. Find the time at which the current is half the steady state value.

A

ln (3) s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

ln (5) s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

2 s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

ln (2) s

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D ln (2) s
$I = I_{0} e^{\frac{- t}{R C}}$
$\frac{I_{0}}{2} = I_{0} e^{- t}$
$∴ t = l n (2) s$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A series RC circuit has

R = 50 Ω

and C = 20 mF. Find the time at which the current is half the steady state value.

Q. Find the value of t/τ for which the current in an LR circuit builds up to (a) 90%, (b) 99% and (c) 99.9% of the steady-state value.

Q. A RC series circuit of R

= 15 Ω

C = 10 μ F

is connected to

20

volt DC supply for very long time. Then capacitor is disconnected from circuit and connected to inductor of

10

mH. Find amplitude of current.

Q. The time constant of an LR circuit is 40 ms. The circuit is connected at t = 0 and the steady-state current is found to be 2.0 A. Find the current at (a) t = 10 ms (b) t = 20 ms, (c) t = 100 ms and (d) t = 1 s.

Q. The given graph shows volume with time in the source voltage and steady state current drawn by a series

B L C

circuit:-
Which of the following statements is/are correct?
(a) Current lags the voltage.
(b) Resistance in the circuit is

250 \sqrt{Ω}

.
(c) Reactance in the circuit is

250 Ω

.
(d) Average power dissipation in the circuit is

20 \sqrt{3 Ω}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Alternating Current Applied to an Inductor

PHYSICS

Watch in App

explore_more_icon

Explore more

Alternating Current Applied to an Inductor

Standard XIII Physics

Join BYJU'S Learning Program

CrossIcon