An ammeter of resistance $20 \Omega$ gives full scale deflection when $1 \mathrm{~mA}$ current flows through…

An ammeter of resistance $20 \Omega$ gives full scale deflection when $1 \mathrm{~mA}$ current flows through it. What is the maximum current that can be measured by connecting 4 resistors each of $16 \Omega$ in parallel with the meter?
  1. 6 mA
  2. 8 mA
  3. 4 mA
  4. 2 mA

Solution

$\frac{1}{S}=\frac{4}{16}=\frac{1}{4}$ $S=4 \Omega$ $G=20 \Omega$ $i_{g}=1 \mathrm{~mA}=10^{-3} \mathrm{~A}$ $\left(i-i_{g}\right) 4=i_{g} G=10^{-3} \times 20=2 \times 10^{-2}$ $i-i_{g}=\frac{1}{2} \times 10^{-2}$ $i=0.5 \times 10^{-2}+10^{-3}=6 \times 10^{-3}=6 \mathrm{~mA}$

Asked in: MHT CET 2020 (16 Oct Shift 1)

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