Question Detail

PHY 102 Test Compilation PHY 102 19 Objective Question

Question

A resistor, 100Ω, is connected to an a.c. source given as v = 350sin(ωt). If ω = 1256 rad/s, find the r.m.s. current and instantaneous current at time 0.30s through the resistor respectively.
Options
A 3.50A, 1.43A
B 1.01A, 2.47A
C 2.50A, 2.47A
Correct Answer
D 2.47A, 1.01A
Correct Answer

Option C is the correct answer.

Detailed Explanation

I_rms = V_rms/R = (350/√2)/100 ≈ 2.50A; the instantaneous current is found by substituting t = 0.30s into i(t) = (V_max/R)sin(ωt).

Hint

First get I_rms using V_max/√2 divided by R, then substitute t into the instantaneous current expression.

Question Info