Home
Class 12
PHYSICS
Find the time required for a 50 Hz alter...

Find the time required for a `50 Hz` alternating current to change its value from zero to the rms value.

Text Solution

Verified by Experts

Let to equation of aternating current be
`I = I_(0) sin omega t = I_(0) sin 100 pi xx 0 = 0`
At time t, `I = I_(rms) = (I_(0))/(sqrt 2)`
`:. (I_(0))/(sqrt 2) = I_(0) sin omega t`
`sin omega t = (1)/(sqrt 2) = sin pi // 4`
`t = (pi)/(4 omega) = (pi)/(4 xx 2 pi xx 50) = (1)/(400) s`
`t = (1)/(400) s = 2.5 xx 10^(-3) s`
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Solved Examples (b)|1 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Short Answer Qusetions|2 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    PRADEEP|Exercise Exercise|191 Videos

  • ELECTROMAGNETIC WAVES

    PRADEEP|Exercise II Focus multiple choice question|5 Videos

Similar Questions

Explore conceptually related problems

The time required for a 50Hz alternating current to change its value from zero to rms value is (in milli second)

The time required for a 50 Hz sinusoidal alternating current to changed its value from zero to the r.m.s. value

Find the time required for a 60 Hz alternating current to reach its peak value starting from zero.

The time required for a 50Hz alternating current to increase from zero to 70.7% of its peak value is-

The rms value of an alternating current

A resistance of 20 Omega is connected to a source of alternating current rated 110 V, 50 Hz . Find (a) the rms current, (b) the maxium instantaneous current in the resistor and © the time taken by the current to change from its maximum value to the rms value.

Consider an AC supply of 220 V-50 Hz. A resistance of 30 Omega is connected to this source . Find the (a) rms value of current (b) the peak value of current and (c ) the time taken by current to change its value from maximum to rms value .

The peak value of an alternating current is 10. A. Find its rms value