Question

A digital Multimeter reads 10 V when fed with a triangular wave, which is symmetric about the time-axis. If the input is same, the rms reading meter will read?

(a) \(\frac{20}{\sqrt{3}}\)

(b) –\(\frac{10}{\sqrt{3}}\)

(c) –\(\frac{20}{\sqrt{3}}\)

(d) \(\frac{10}{\sqrt{3}}\)

I had been asked this question in homework.

The origin of the question is Calculation of I(0+), di/dt(0+), d2I/dt2(0+) in Circuits Involving both Capacitor and Inductor in division Application of the Laplace Transform in Circuit Analysis of Network Theory

Answer 1

Right answer is (d) \(\frac{10}{\sqrt{3}}\)

The explanation: For triangular wave Average value = \(\frac{V_m}{3}\), rms value = \(\frac{V_m}{\sqrt{3}}\)

∴ \(\frac{V_m}{3}\) = 10 V or, Vm = 30 V.