Question Detail

PHY 102 Test Compilation PHY 102 2 Objective Question

Question

v = 290 sin ωt, ω=1256 rad/s. RMS and instantaneous at t=0.5s, period?
Options
A 205V, -290V, 5ms
Correct Answer
B 289V, 205V, 500ms
C 290V, 290V, 0.5ms
D -290V, 205V, 50ms
Correct Answer

Option A is the correct answer.

Detailed Explanation

V_rms = 290/1.414 ≈ 205 V. ωt=1256×0.5=628 rad, sin(628)≈ -1, so v≈ -290V. T=2π/ω=2π/1256≈0.005 s=5 ms.

Hint

T = 2π/ω.

Question Info