Q192 / 200 · Manipal (MET) 2012 · Physics

A 220 V main supply is connected to a resistance of $100 \mathrm{k} \Omega$. The effective current is

  • Correct answer
    A
    2.2 mA
  • B
    $2.2 \sqrt{2} \mathrm{~mA}$
  • C
    $\frac{2.2}{\sqrt{2}} \mathrm{~mA}$
  • D
    None of these

Solution

Effective current is the rms value. Here, 220 V is the labelled value of AC which is also the rms value. Hence, $\begin{aligned} & I_{\mathrm{rms}}=\frac{E_{\mathrm{rms}}}{R} \\ & I_{\mathrm{rms}}=\frac{220}{100 \times 10^3} \\ & I_{\mathrm{rms}}=2.2 \mathrm{~mA} \end{aligned}$

Hence, the correct answer is option: 'A'.

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