Question

In an ac circuit the current is expressed as I =100sin200piet in this circuit the current rises from 0 to peak value in time

Answer 1

Answer:

1/400 sec

Explanation:

for peak value , sin200piet = 1

sin200πt = 1

200πt  = π/2

t = 1/400 sec

Answer 2

Answer :

The time taken = $\sf \dfrac{1}{400}s$

Explanation :

Given -

⇒ I = 100 sin 200 π t.

It implies,

⇒ I = i₀ sin ω t

⇒  ω = 200π

__________{General Equation}

As we know,

$\bigstar\;\boxed{\sf \dfrac{2\pi}{T}=\omega}$

Values in Equation,

$\sf \implies \dfrac{2\pi}{T}= 200\pi$

$\sf T=\dfrac{1}{100}s$

____________{Time period of the wave}

As given,

The current reaches to peak value.

Implies,

Time taken = $\dfrac{T}{4}$

Therefore, The time taken = $\dfrac{1}{400}s$