If a sinusoidal wave has frequency of 50Hz with 30A rms current. Which of the following equation represents this wave?

A 42.42 sin314t

B 60 sin25t

C 30 sin50t

D 84.84 sin25t

Solution

Correct Answer: Option A

একটি সাইনুসয়ডাল ওয়েভের (Sinusoidal wave) কারেন্টের সমীকরণ হলো: i(t) = I_max sin(ωt)

এখানে দেওয়া আছে:
- I_rms = 30A
- f = 50Hz

আমরা জানি,
- Maximum current, I_max = √2 × I_rms = 1.414 × 30 ≈ 42.42 A
- Angular frequency, ω = 2πf = 2 × 3.1416 × 50 ≈ 314 rad/sec

অতএব, সমীকরণটি হবে: 42.42 sin314t

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