Target Exam

CUET

Subject

Physics

Chapter

Moving Charges and Magnetism

Question:

An ammeter having internal resistance of $0.81 \Omega$ can read upto 1. To convert it into an ammeter reading 0 - 10 A we have to connect:

Options:

a $90 \Omega$ resistor in series

a $9.0 \Omega$ resistor in parallel

a $0.09 \Omega$ resistor in parallel

a $0.9 \Omega$ resistor in parallel

Correct Answer:

a $0.09 \Omega$ resistor in parallel

Explanation:

∴The correct answer is Option (3) → a $0.09 \Omega$ resistor in parallel

$R_A$, Internal Resistance of ammeter = 0.81 Ω

$I_A$, Maximum current for ammeter = 1 A

$I_{new}$, New desired current range = 10 A

$∴I_{shunt}=I_{new}-I_A$

$=10A-1A=9A$

and,

$V_A=I_A×R_A$ [Ohm's law]

$=(1×0.81)Ω=0.81V$

$∴R_{shunt}=\frac{V_A}{I_{shunt}}=\frac{0.81}{9}=0.09Ω$