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MHT CET · Physics · Current Electricity

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. A 6 mA
  2. B 8 mA
  3. C 4 mA
  4. D 2 mA
Verified Solution

Answer & Solution

Correct Answer

(A) 6 mA

Step-by-step Solution

Detailed explanation

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