hamburger menu
All Coursesall course arrow
adda247
reward-icon
adda247
    arrow
    arrow
    arrow
    If the equation of sinusoidal current is 141.4 sin(314t). Find the RMS value and frequency of the current.
    Question

    If the equation of sinusoidal current is 141.4 sin(314t). Find the RMS value and frequency of the current.

    A.

    400 A and 200 Hz

    B.

    100 A and 50 Hz

    C.

    300 A and 150 Hz

    D.

    200 A and 100 Hz

    Correct option is B

    i=141.4sin(314t)i=Imsin(ωt)Im2=141.41.414Irms=100 Aω=2πff=ω2π=3142×3.14f=50 Hzi = 141.4 \sin (314t) \\i = I_m \sin (\omega t) \\\frac{I_m}{\sqrt{2}} = \frac{141.4}{1.414} \\I_{\text{rms}} = 100 \text{ A} \\\omega = 2\pi f \\f = \frac{\omega}{2\pi} = \frac{314}{2 \times 3.14} \\f = 50 \text{ Hz}​​

    test-prime-package

    Access ‘RRB JE Electrical Engineering’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    test-prime-package

    Access ‘RRB JE Electrical Engineering’ Mock Tests with

    • 60000+ Mocks and Previous Year Papers
    • Unlimited Re-Attempts
    • Personalised Report Card
    • 500% Refund on Final Selection
    • Largest Community
    students-icon
    354k+ students have already unlocked exclusive benefits with Test Prime!
    Our Plans
    Monthsup-arrow