Correct Answer - Option 2 : 5, √125 and √125

**Concept:**

**PMMC measures dc or average value**, **hot-wire and moving iron instruments measures RMS value.**

If a current i is given as:

i = a_{0} + a_{1} sin (ω_{1}t + θ_{1}) + a_{2} sin (ω_{2}t + θ_{2}) + a_{3} sin (ω_{3}t + θ_{3}) +...........

Where,

a_{0} = DC value = average value of current

Rms value is:

\(i_{rms}= \sqrt {a_0^2 + \frac{1}{2}\left( {a_1^2 + a_2^2 + a_3^2 + \ldots } \right)} \)

__Calculation:__

Given current i,

i = 5 + 14.14 sin (314 t + 45°)

**PMMC meter reading = i**_{dc} = average value = 5 A

**Hot wire meter reading = Moving iron meter reading = i**_{rms}

**i**_{rms} \( = \sqrt {{5^2} + \frac{1}{2}{{\left( {14.14} \right)}^2}} \) = √**125 A.**