An alternating current is represented by the equation, ampere. The RMS value o current and the frequency of the given alternating current are [2025]

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
An alternating current is represented by the equation, $i = 100 \sqrt{2} \sin (100 π t)$ ampere. The RMS value of current and the frequency of the given alternating current are [2025]

1 $100 \sqrt{2} A, 100 Hz$

2 $\frac{100}{\sqrt{2}} A, 100 Hz$

3 100 A, 50 Hz

4 $50 \sqrt{2} A, 50 Hz$

Ans.
(3)

$i = 100 \sqrt{2} \sin (100 π t)$

$i_{r m s} = \frac{100 \sqrt{2}}{\sqrt{2}} = 100 A$

$f = \frac{ω}{2 π} = \frac{100 π}{2 π} = 50 Hz$

Want Us to Email you About Special Offers & Updates?